WO2020135587A1 - Risk assessment index set construction method and apparatus - Google Patents

Risk assessment index set construction method and apparatus Download PDF

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WO2020135587A1
WO2020135587A1 PCT/CN2019/128709 CN2019128709W WO2020135587A1 WO 2020135587 A1 WO2020135587 A1 WO 2020135587A1 CN 2019128709 W CN2019128709 W CN 2019128709W WO 2020135587 A1 WO2020135587 A1 WO 2020135587A1
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elements
relationship
risk assessment
factor
risk
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陈涛
苏国锋
孙雪萍
陈建国
袁宏永
黄全义
孙占辉
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清华大学
北京辰安科技股份有限公司
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    • G06COMPUTING; CALCULATING OR COUNTING
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    • G06F17/10Complex mathematical operations
    • G06F17/16Matrix or vector computation, e.g. matrix-matrix or matrix-vector multiplication, matrix factorization
    • GPHYSICS
    • G06COMPUTING; CALCULATING OR COUNTING
    • G06QINFORMATION AND COMMUNICATION TECHNOLOGY [ICT] SPECIALLY ADAPTED FOR ADMINISTRATIVE, COMMERCIAL, FINANCIAL, MANAGERIAL OR SUPERVISORY PURPOSES; SYSTEMS OR METHODS SPECIALLY ADAPTED FOR ADMINISTRATIVE, COMMERCIAL, FINANCIAL, MANAGERIAL OR SUPERVISORY PURPOSES, NOT OTHERWISE PROVIDED FOR
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  • the invention relates to the technical field of risk assessment, in particular to a method and device for constructing a risk assessment indicator set.
  • index set structure In the field of risk assessment, there are two main methods for constructing the index set structure, one is determined by expert experience, and the other is a statistical method represented by cluster analysis.
  • the present invention aims to solve one of the technical problems in the related art at least to a certain extent.
  • an object of the present invention is to propose a method for constructing a risk assessment indicator set, which can optimize the scientificity and rationality of the risk assessment indicator set construction, provide a basis for the specificity and pertinence of risk prevention, and is simple and easy to implement .
  • Another object of the present invention is to propose a device for constructing a risk assessment indicator set.
  • an embodiment of the present invention provides a method for constructing a risk assessment indicator set, which includes the following steps: acquiring multiple risk factors for risk assessment and generating an adjacency matrix between each risk factor; The adjacency matrix obtains a reachable matrix to construct a hierarchical relationship between elements; an index set structure diagram is obtained according to the hierarchical relationship between elements.
  • the method for constructing a risk assessment indicator set realizes the quantitative characterization of the hierarchical relationship between various factors through matrix operations, and realizes the construction of a risk assessment indicator set, thereby optimizing the scientificity and rationality of the risk assessment indicator set construction.
  • the basis for the specificity and pertinence of risk prevention is simple and easy to implement.
  • the method for constructing a risk assessment indicator set according to the above embodiments of the present invention may also have the following additional technical features:
  • the relational expression of the adjacency matrix is:
  • the hierarchical relationship between the building elements includes: obtaining the reachable set and the prior set for each risk factor according to the reachable matrix; and according to the reachable set and The element set is obtained in advance to obtain the hierarchical relationship between the elements.
  • the elements in the element set are allowed to reach from other elements, and the elements in the element set are not allowed to reach the other elements.
  • the obtaining the index set structure diagram according to the hierarchical relationship between the elements further includes: placing the element set from top to bottom according to the level order, and using directed arrows or line segments Represents the relationship between the elements of adjacent levels and the relationship between the elements of the same level to build a hierarchical structure diagram of each element in the index set, where,
  • a risk assessment indicator set construction apparatus including: a first acquisition module, configured to acquire multiple risk factors for risk assessment, and generate a risk factor between each risk factor Adjacency matrix; a building module for obtaining a reachable matrix according to the adjacency matrix to construct a hierarchical relationship between elements; a second acquisition module for acquiring an index set structure diagram according to the hierarchical relationship between the elements.
  • the risk assessment indicator set construction device of the embodiment of the present invention realizes the quantitative characterization of the hierarchical relationship between various factors through matrix operations, and realizes the construction of the risk assessment indicator set, thereby optimizing the scientificity and rationality of the construction of the risk assessment indicator set,
  • the basis for the specificity and pertinence of risk prevention is simple and easy to implement.
  • the risk assessment indicator set construction device may also have the following additional technical features:
  • the relational expression of the adjacency matrix is:
  • the construction module is further configured to obtain the reachable set and the prior set for each risk factor according to the reachable matrix, and according to the reachable set and the prior set Get a set of elements to get the hierarchical relationship between the elements.
  • the elements in the element set are allowed to reach from other elements, and the elements in the element set are not allowed to reach the other elements.
  • the second acquisition module is further configured to place the element set from top to bottom according to the level order, and use directed arrows or line segments to represent the relationship between adjacent level elements and The relationship between the elements in the same level to build a hierarchy diagram of each element in the indicator set, where,
  • FIG. 1 is a flowchart of a method for constructing a risk assessment indicator set according to an embodiment of the present invention
  • FIG. 2 is a schematic structural diagram of a risk assessment indicator set construction device according to an embodiment of the present invention.
  • FIG. 1 is a flowchart of a method for constructing a risk assessment indicator set according to an embodiment of the present invention.
  • the construction method of the risk assessment indicator set includes the following steps:
  • step S101 multiple risk factors for risk assessment are obtained, and an adjacency matrix between each risk factor is generated.
  • the embodiments of the present invention determine the main factors for risk assessment by using the characteristics of the risk assessment, specific accident cases, expert consultation and other methods.
  • the risk factor is the main factor, which requires subjective screening. Construct the adjacency matrix between the factors.
  • the relational expression of the adjacency matrix is:
  • the adjacency matrix A represents the relationship between each factor used for risk assessment, and the expression is:
  • a ij 0, it means that there is no direct relationship between factor i and factor j; from the perspective of reachability, it can be expressed as that factor i can go through a path with a step size of 1, and cannot directly reach j.
  • step S102 a reachable matrix is obtained according to the adjacency matrix to construct a hierarchical relationship between elements.
  • a reachability matrix is constructed based on the adjacency matrix obtained above, and then a hierarchical relationship between elements is constructed according to the reachability matrix.
  • constructing a hierarchical relationship between elements includes: obtaining an reachable set and an advance set for each risk factor according to an reachability matrix; obtaining an element set according to the reachable set and the advance set to obtain Hierarchical relationship between elements.
  • the elements in the element set are allowed to reach from other elements, and the elements in the element set are not allowed to reach other elements.
  • the matrix R is the reachable matrix.
  • r ij is 1, it means that there is a reachable path from element a i to element a j , that is, there is a direct or indirect relationship between element a i and a j , which can be classified into the same system unit.
  • r ij is 0, it means that there is no reachable path from element a i to element a j , that is, there is no direct or indirect relationship between element a i and a j , and it cannot be classified into the same system unit.
  • P(a i ) is called the reachable set, that is, the set of all elements that can be reached from the element a i , that is, the set of elements affected by the a i factor, you can find the upper value of the i-th row of the reachable matrix R Find the element corresponding to the 1 column.
  • Q(a i ) is called an advance set, that is, a set of all elements that can reach element a i . It can be obtained by searching for the element corresponding to the row with a value of 1 on the i-th column of the reachable matrix R.
  • the element in L 1 has the following characteristics: the element can be reached from other elements, but cannot be reached from the element, that is, the element in L 1 is the element at the highest level (first level). Then, delete the rows and columns corresponding to the elements in L 1 from the original reachable matrix M to obtain the matrix M′, and perform the same operation on M′ to determine the elements belonging to the second level L 2 . Repeat the same operation in the future to find L 3 , L 4 , ... in order to assign each element to the corresponding level.
  • step S103 an index set structure diagram is obtained according to the hierarchical relationship between elements.
  • obtaining the index set structure diagram according to the hierarchical relationship between the elements further includes: placing the element set from top to bottom according to the level order, and using directed arrows or line segments to represent the relationship between adjacent level elements and The relationship between the elements in the same level to build a hierarchical structure diagram of each element in the index set.
  • placing the element set from top to bottom according to the level order and using directed arrows or line segments to represent the relationship between adjacent level elements and The relationship between the elements in the same level to build a hierarchical structure diagram of each element in the index set.
  • the elements of the first level L 1 are placed on the uppermost layer, and the elements of the second level L 2 are below, and so on, and the elements are placed in order from top to bottom.
  • the embodiments of the present invention can again use expert panels or other feasible quantitative evaluation methods to make judgments to eliminate this interaction relationship. Ensure the independence of evaluation indicators.
  • the index set structure is constructed based on the explanatory structure model, which can quantify and clarify the hierarchical relationship between the index factors, which is reasonable and scientific for risk assessment and risk prevention. Provide specific basis and pertinence to effectively solve the problem of semi-quantitative index set construction when using the index system method for risk assessment.
  • the explanation structure model is a qualitative and quantitative method to clearly evaluate the structural relationship between index factors.
  • the index factors used to participate in the matrix calculation and the pairwise relationship between each index are determined by expert experience. After matrix operations, the accessibility between factors can be used to quantify the hierarchical structure of the index set.
  • the matrix operation is used to quantitatively characterize the hierarchical relationship between the various factors and the construction of the risk assessment indicator set, thereby optimizing the scientificity and rationality of the construction of the risk assessment indicator set To provide a basis for the specificity and pertinence of risk prevention and control, which is simple and easy to implement.
  • FIG. 2 is a schematic structural diagram of an apparatus for constructing a risk assessment indicator set according to an embodiment of the present invention.
  • the risk assessment indicator set construction device 10 includes: a first acquisition module 100, a construction module 200 and a second acquisition module 300.
  • the first obtaining module 100 is used to obtain multiple risk factors for risk assessment and generate an adjacency matrix between each risk factor.
  • the construction module 200 is used to obtain a reachable matrix according to the adjacency matrix to construct a hierarchical relationship between elements.
  • the second obtaining module 300 is used to obtain the index set structure diagram according to the hierarchical relationship between the elements.
  • the device 10 of the embodiment of the present invention optimizes the scientificity and rationality of the construction of the risk assessment index set, provides a basis for the specificity and pertinence of risk prevention, and is simple and easy to implement.
  • the relational expression of the adjacency matrix is:
  • the construction module 200 is further configured to obtain the reachable set and the prior set for each risk factor according to the reachable matrix, and obtain the element set according to the reachable set and the advance set to obtain the element Inter-level relationship.
  • the elements in the element set are allowed to reach from other elements, and the elements in the element set are not allowed to reach other elements.
  • the second acquisition module 300 is further configured to place the element set from top to bottom according to the level order, and use directed arrows or line segments to represent the relationship between adjacent level elements and within the same level The relationship between the elements to build a hierarchical structure diagram of each element in the indicator set, where, during the construction of the indicator set, if there is a mutual interaction between the elements, manual or quantitative evaluation A decision is made to eliminate the interaction effect.
  • a matrix operation is used to quantitatively characterize the hierarchical relationship between various factors and the construction of a risk assessment indicator set, thereby optimizing the scientificity and rationality of risk assessment indicator set construction To provide a basis for the specificity and pertinence of risk prevention and control, which is simple and easy to implement.
  • first and second are used for description purposes only, and cannot be understood as indicating or implying relative importance or implicitly indicating the number of indicated technical features.
  • the features defined as “first” and “second” may include at least one of the features explicitly or implicitly.
  • the meaning of “plurality” is at least two, such as two, three, etc., unless specifically defined otherwise.

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Abstract

Provided are a risk assessment index set construction method and apparatus. The method comprises the following steps: acquiring a plurality of risk factors for risk assessment, and generating an adjacent matrix between the risk factors (S101); obtaining a reachable matrix according to the adjacent matrix so as to construct a hierarchical relationship between elements (S102); and acquiring an index set structure diagram according to the hierarchical relationship between the elements (S103). According to the method, the hierarchical relationship between factors is quantitatively characterized through matrix operations, and the construction of a risk assessment index set is realized, so that the scientificity and rationality of the construction of the risk assessment index set are optimized, and a basis is provided for the specificity and pertinence of risk prevention and control, and the method thereof is simple and easily implemented.

Description

风险评估指标集构建方法及装置Method and device for constructing risk assessment index set
相关申请的交叉引用Cross-reference of related applications
本申请要求清华大学、北京辰安科技股份有限公司于2018年12月29日提交的、发明名称为“风险评估指标集构建方法及装置”的、中国专利申请号“201811645641.7”的优先权。This application requires the priority of the Chinese patent application number "201811645641.7" submitted by Tsinghua University and Beijing Chenan Technology Co., Ltd. on December 29, 2018, with the name of the invention as "risk assessment indicator set construction method and device".
技术领域Technical field
本发明涉及风险评估技术领域,特别涉及一种风险评估指标集构建方法及装置。The invention relates to the technical field of risk assessment, in particular to a method and device for constructing a risk assessment indicator set.
背景技术Background technique
在风险评估领域中,指标集结构的构建方法主要有两种,一是通过专家经验确定,二是通过以聚类分析为代表的统计学方法。In the field of risk assessment, there are two main methods for constructing the index set structure, one is determined by expert experience, and the other is a statistical method represented by cluster analysis.
然而,仅仅通过单一的专家经验方法,即只是根据专家经验或事故案例分析决定选用何种评价指标,其中各指标因子之间的层级关系确定存在较强的主观性,且缺少定量化的推理过程,从而使得风险评估缺少定量化表征;并且统计学方法对指标数据的要求较高,在实际运算中,往往存在一定的限制性。However, only through a single expert experience method, that is, based on expert experience or accident case analysis, which evaluation index is selected, the hierarchical relationship between each index factor determines that there is a strong subjectivity, and a quantitative reasoning process is lacking , Which makes the risk assessment lack of quantitative characterization; and the statistical methods have higher requirements on the index data, and in actual calculations, there are often certain restrictions.
发明内容Summary of the invention
本发明旨在至少在一定程度上解决相关技术中的技术问题之一。The present invention aims to solve one of the technical problems in the related art at least to a certain extent.
为此,本发明的一个目的在于提出一种风险评估指标集构建方法,该方法可以优化风险评估指标集构建的科学性和合理性,为风险防治的具体性和针对性提供依据,简单易实现。Therefore, an object of the present invention is to propose a method for constructing a risk assessment indicator set, which can optimize the scientificity and rationality of the risk assessment indicator set construction, provide a basis for the specificity and pertinence of risk prevention, and is simple and easy to implement .
本发明的另一个目的在于提出一种风险评估指标集构建装置。Another object of the present invention is to propose a device for constructing a risk assessment indicator set.
为达到上述目的,本发明一方面实施例提出了一种风险评估指标集构建方法,包括以下步骤:获取多个风险评估的风险因子,并生成每个风险因子之间的邻接矩阵;根据所述邻接矩阵得到可达矩阵,以构建要素间层级关系;根据所述要素间层级关系获取指标集结构图。To achieve the above objective, an embodiment of the present invention provides a method for constructing a risk assessment indicator set, which includes the following steps: acquiring multiple risk factors for risk assessment and generating an adjacency matrix between each risk factor; The adjacency matrix obtains a reachable matrix to construct a hierarchical relationship between elements; an index set structure diagram is obtained according to the hierarchical relationship between elements.
本发明实施例的风险评估指标集构建方法,通过矩阵运算实现定量化表征各因子之间的层级关系,实现风险评估指标集的构建,从而优化风险评估指标集构建的科学性和合理性,为风险防治的具体性和针对性提供依据,简单易实现。The method for constructing a risk assessment indicator set according to an embodiment of the present invention realizes the quantitative characterization of the hierarchical relationship between various factors through matrix operations, and realizes the construction of a risk assessment indicator set, thereby optimizing the scientificity and rationality of the risk assessment indicator set construction. The basis for the specificity and pertinence of risk prevention is simple and easy to implement.
另外,根据本发明上述实施例的风险评估指标集构建方法还可以具有以下附加的技术 特征:In addition, the method for constructing a risk assessment indicator set according to the above embodiments of the present invention may also have the following additional technical features:
进一步地,在本发明的一个实施例中,所述邻接矩阵的关系表达式为:Further, in an embodiment of the present invention, the relational expression of the adjacency matrix is:
A=(a ij) n×nA=(a ij ) n×n ,
其中,a ij=1,表示因子i与因子j之间存在直接的关系;a ij=0,表示因子i与因子j之间不存在直接的关系;n为正整数。 Among them, a ij = 1, indicating that there is a direct relationship between factor i and factor j; a ij = 0, indicating that there is no direct relationship between factor i and factor j; n is a positive integer.
进一步地,在本发明的一个实施例中,所述构建要素间层级关系,包括:根据所述可达矩阵对所述每个风险因子求可达集合与先行集合;根据所述可达集合与先行集合得到要素集合,以得到所述要素间层级关系。Further, in an embodiment of the present invention, the hierarchical relationship between the building elements includes: obtaining the reachable set and the prior set for each risk factor according to the reachable matrix; and according to the reachable set and The element set is obtained in advance to obtain the hierarchical relationship between the elements.
进一步地,在本发明的一个实施例中,在所述要素集合中,从其它要素允许到达所述要素集合中的元素,且从所述要素集合中的元素不允许到达所述其它要素。Further, in one embodiment of the present invention, in the element set, the elements in the element set are allowed to reach from other elements, and the elements in the element set are not allowed to reach the other elements.
进一步地,在本发明的一个实施例中,所述根据所述要素间层级关系获取指标集结构图,进一步包括:根据级别顺序将所述要素集合从上至下放置,并用有向箭头或线段代表相邻级别要素间的关系及同一级别内要素之间的关系,以搭建指标集内每个要素的层次结构图,其中,Further, in an embodiment of the present invention, the obtaining the index set structure diagram according to the hierarchical relationship between the elements further includes: placing the element set from top to bottom according to the level order, and using directed arrows or line segments Represents the relationship between the elements of adjacent levels and the relationship between the elements of the same level to build a hierarchical structure diagram of each element in the index set, where,
在所述指标集构建的过程中,如果所述要素之间存在相互影响作用关系,则通过人工或定量化评估进行判定,以消除所述相互影响作用关系。In the process of constructing the indicator set, if there is an interaction relationship between the elements, a judgment is made through manual or quantitative evaluation to eliminate the interaction relationship.
为达到上述目的,本发明另一方面实施例提出了一种风险评估指标集构建装置,包括:第一获取模块,用于获取多个风险评估的风险因子,并生成每个风险因子之间的邻接矩阵;构建模块,用于根据所述邻接矩阵得到可达矩阵,以构建要素间层级关系;第二获取模块,用于根据所述要素间层级关系获取指标集结构图。In order to achieve the above object, another embodiment of the present invention provides a risk assessment indicator set construction apparatus, including: a first acquisition module, configured to acquire multiple risk factors for risk assessment, and generate a risk factor between each risk factor Adjacency matrix; a building module for obtaining a reachable matrix according to the adjacency matrix to construct a hierarchical relationship between elements; a second acquisition module for acquiring an index set structure diagram according to the hierarchical relationship between the elements.
本发明实施例的风险评估指标集构建装置,通过矩阵运算实现定量化表征各因子之间的层级关系,实现风险评估指标集的构建,从而优化风险评估指标集构建的科学性和合理性,为风险防治的具体性和针对性提供依据,简单易实现。The risk assessment indicator set construction device of the embodiment of the present invention realizes the quantitative characterization of the hierarchical relationship between various factors through matrix operations, and realizes the construction of the risk assessment indicator set, thereby optimizing the scientificity and rationality of the construction of the risk assessment indicator set, The basis for the specificity and pertinence of risk prevention is simple and easy to implement.
另外,根据本发明上述实施例的风险评估指标集构建装置还可以具有以下附加的技术特征:In addition, the risk assessment indicator set construction device according to the above embodiments of the present invention may also have the following additional technical features:
进一步地,在本发明的一个实施例中,所述邻接矩阵的关系表达式为:Further, in an embodiment of the present invention, the relational expression of the adjacency matrix is:
A=(a ij) n×nA=(a ij ) n×n ,
其中,a ij=1,表示因子i与因子j之间存在直接的关系;a ij=0,表示因子i与因子j之间不存在直接的关系;n为正整数。 Among them, a ij = 1, indicating that there is a direct relationship between factor i and factor j; a ij = 0, indicating that there is no direct relationship between factor i and factor j; n is a positive integer.
进一步地,在本发明的一个实施例中,所述构建模块进一步用于根据所述可达矩阵对所述每个风险因子求可达集合与先行集合,并根据所述可达集合与先行集合得到要素集合,以得到所述要素间层级关系。Further, in an embodiment of the present invention, the construction module is further configured to obtain the reachable set and the prior set for each risk factor according to the reachable matrix, and according to the reachable set and the prior set Get a set of elements to get the hierarchical relationship between the elements.
进一步地,在本发明的一个实施例中,在所述要素集合中,从其它要素允许到达所述要素集合中的元素,且从所述要素集合中的元素不允许到达所述其它要素。Further, in one embodiment of the present invention, in the element set, the elements in the element set are allowed to reach from other elements, and the elements in the element set are not allowed to reach the other elements.
进一步地,在本发明的一个实施例中,所述第二获取模块进一步用于根据级别顺序将所述要素集合从上至下放置,并用有向箭头或线段代表相邻级别要素间的关系及同一级别内要素之间的关系,以搭建指标集内每个要素的层次结构图,其中,Further, in an embodiment of the present invention, the second acquisition module is further configured to place the element set from top to bottom according to the level order, and use directed arrows or line segments to represent the relationship between adjacent level elements and The relationship between the elements in the same level to build a hierarchy diagram of each element in the indicator set, where,
在所述指标集构建的过程中,如果所述要素之间存在相互影响作用关系,则通过人工或定量化评估进行判定,以消除所述相互影响作用关系。In the process of constructing the indicator set, if there is an interaction relationship between the elements, a judgment is made through manual or quantitative evaluation to eliminate the interaction relationship.
本发明附加的方面和优点将在下面的描述中部分给出,部分将从下面的描述中变得明显,或通过本发明的实践了解到。Additional aspects and advantages of the present invention will be partially given in the following description, and some will become apparent from the following description, or be learned through the practice of the present invention.
附图说明BRIEF DESCRIPTION
本发明上述的和/或附加的方面和优点从下面结合附图对实施例的描述中将变得明显和容易理解,其中:The above and/or additional aspects and advantages of the present invention will become apparent and easy to understand from the following description of the embodiments in conjunction with the accompanying drawings, in which:
图1为根据本发明一个实施例的风险评估指标集构建方法的流程图;1 is a flowchart of a method for constructing a risk assessment indicator set according to an embodiment of the present invention;
图2为根据本发明一个实施例的风险评估指标集构建装置的结构示意图。2 is a schematic structural diagram of a risk assessment indicator set construction device according to an embodiment of the present invention.
具体实施方式detailed description
下面详细描述本发明的实施例,所述实施例的示例在附图中示出,其中自始至终相同或类似的标号表示相同或类似的元件或具有相同或类似功能的元件。下面通过参考附图描述的实施例是示例性的,旨在用于解释本发明,而不能理解为对本发明的限制。Hereinafter, embodiments of the present invention will be described in detail. Examples of the embodiments are shown in the drawings, in which the same or similar reference numerals indicate the same or similar elements or elements having the same or similar functions. The embodiments described below with reference to the drawings are exemplary and are intended to explain the present invention, and should not be construed as limiting the present invention.
下面参照附图描述根据本发明实施例提出的风险评估指标集构建方法及装置,首先将参照附图描述根据本发明实施例提出的风险评估指标集构建方法。The following describes a method and apparatus for constructing a risk assessment indicator set according to an embodiment of the present invention with reference to the drawings. First, a method for constructing a risk assessment indicator set according to an embodiment of the present invention will be described with reference to the drawings.
图1是本发明一个实施例的风险评估指标集构建方法的流程图。FIG. 1 is a flowchart of a method for constructing a risk assessment indicator set according to an embodiment of the present invention.
如图1所示,该风险评估指标集构建方法包括以下步骤:As shown in Figure 1, the construction method of the risk assessment indicator set includes the following steps:
在步骤S101中,获取多个风险评估的风险因子,并生成每个风险因子之间的邻接矩阵。In step S101, multiple risk factors for risk assessment are obtained, and an adjacency matrix between each risk factor is generated.
可以理解的是,本发明实施例利用风险评估的对象特征、具体事故案例、专家咨询等方法,确定用以进行风险评估的主要因子,其中,风险因子即为主要因子,需要人为主观筛选,同时构建各因子之间的邻接矩阵。It is understandable that the embodiments of the present invention determine the main factors for risk assessment by using the characteristics of the risk assessment, specific accident cases, expert consultation and other methods. Among them, the risk factor is the main factor, which requires subjective screening. Construct the adjacency matrix between the factors.
进一步地,在本发明的一个实施例中,邻接矩阵的关系表达式为:Further, in an embodiment of the present invention, the relational expression of the adjacency matrix is:
A=(a ij) n×nA=(a ij ) n×n ,
其中,a ij=1,表示因子i与因子j之间存在直接的关系;a ij=0,表示因子i与因子j之间不存在直接的关系;n为正整数。 Among them, a ij = 1, indicating that there is a direct relationship between factor i and factor j; a ij = 0, indicating that there is no direct relationship between factor i and factor j; n is a positive integer.
具体而言,邻接矩阵A表示用以进行风险评估的各因子两两之间的关系,表达式为:Specifically, the adjacency matrix A represents the relationship between each factor used for risk assessment, and the expression is:
A=(a ij) n×nA=(a ij ) n×n ,
其中,若a ij=1,表示因子i与因子j之间存在直接的关系;从可达性来看,可以表述为从因子i可经过步长为1的路径,直接到达j。 Among them, if a ij =1, it means that there is a direct relationship between the factor i and the factor j; from the perspective of reachability, it can be expressed that the factor i can directly reach j through a path with a step size of 1.
若a ij=0,表示因子i与因子j之间不存在直接的关系;从可达性来看,可以表述为从因子i可经过步长为1的路径,不能直接到达j。 If a ij = 0, it means that there is no direct relationship between factor i and factor j; from the perspective of reachability, it can be expressed as that factor i can go through a path with a step size of 1, and cannot directly reach j.
在步骤S102中,根据邻接矩阵得到可达矩阵,以构建要素间层级关系。In step S102, a reachable matrix is obtained according to the adjacency matrix to construct a hierarchical relationship between elements.
可以理解的是,本发明实施例根据上述求得的邻接矩阵构建可达矩阵,进而根据可达矩阵实现要素间层级关系构建。It can be understood that, in this embodiment of the present invention, a reachability matrix is constructed based on the adjacency matrix obtained above, and then a hierarchical relationship between elements is constructed according to the reachability matrix.
下面将结合实施例对构建可达矩阵和要素间层级关系构建进行详细的阐述。The construction of the reachability matrix and the construction of the hierarchical relationship between elements will be described in detail in conjunction with the embodiments below.
进一步地,在本发明的一个实施例中,构建要素间层级关系,包括:根据可达矩阵对每个风险因子求可达集合与先行集合;根据可达集合与先行集合得到要素集合,以得到要素间层级关系。Further, in an embodiment of the present invention, constructing a hierarchical relationship between elements includes: obtaining an reachable set and an advance set for each risk factor according to an reachability matrix; obtaining an element set according to the reachable set and the advance set to obtain Hierarchical relationship between elements.
其中,在本发明的一个实施例中,在要素集合中,从其它要素允许到达要素集合中的元素,且从要素集合中的元素不允许到达其它要素。In one embodiment of the present invention, in the element set, the elements in the element set are allowed to reach from other elements, and the elements in the element set are not allowed to reach other elements.
具体而言,(1)构建可达矩阵RSpecifically, (1) construct the reachable matrix R
求得邻接矩阵A后,再求A与单位矩阵I的和A+I,做矩阵A+I的幂运算,运算过程中遵循布尔代数运算规则,直到下式成立:After obtaining the adjacency matrix A, then find the sum A+I of A and the identity matrix I to do the power operation of the matrix A+I, and follow the Boolean algebraic operation rules during the operation until the following formula holds:
R≠(A+I)≠(A+I) 2≠…=(A+I) n=(A+I) n+1R≠(A+I)≠(A+I) 2 ≠…=(A+I) n =(A+I) n+1 ,
R=(r ij) n×?R=(r ij ) n×? ,
矩阵R即为可达矩阵。The matrix R is the reachable matrix.
若r ij为1,代表要素a i到要素a j间存在着可到达的路径,即要素a i和a j之间存在直接或间接的关系,可归为同一个系统单元内。 If r ij is 1, it means that there is a reachable path from element a i to element a j , that is, there is a direct or indirect relationship between element a i and a j , which can be classified into the same system unit.
若r ij为0,代表要素a i到要素a j间不存在可到达的路径,即要素a i和a j之间不存在直接或间接的关系,不可归为同一个系统单元内。 If r ij is 0, it means that there is no reachable path from element a i to element a j , that is, there is no direct or indirect relationship between element a i and a j , and it cannot be classified into the same system unit.
(2)要素间层级关系构建(2) Construction of hierarchical relationship between elements
应用可达矩阵R,对各要素a i求如下集合: Using the reachable matrix R, find the following set of each element a i :
P(a i)={a j|r ij=1}, P(a i ) = {a j | r ij = 1},
Q(a i)={a j|r ji=1}, Q(a i )={a j |r ji =1},
其中,P(a i)称为可达集合,即从要素a i出发可以到达的全部要素的集合,即受a i因子影响的要素集,可以通过查找可达矩阵R的第i行上值为1的列对应的要素求得。 而Q(a i)称为先行集合,即可以到达要素a i的全部要素的集合。可以通过查找可达矩阵R的第i列上值为1的行对应的要素求得。 Among them, P(a i ) is called the reachable set, that is, the set of all elements that can be reached from the element a i , that is, the set of elements affected by the a i factor, you can find the upper value of the i-th row of the reachable matrix R Find the element corresponding to the 1 column. Q(a i ) is called an advance set, that is, a set of all elements that can reach element a i . It can be obtained by searching for the element corresponding to the row with a value of 1 on the i-th column of the reachable matrix R.
再根据P(a i),Q(a i)(i=1,2,…,n),求满足式如下要求的各要素集合L 1Based on P(a i ) and Q(a i ) (i=1, 2,..., N), find each element set L 1 that satisfies the following requirements.
L 1中的元素有如下特征:从其它要素可以到达该要素,而从该要素不能到达其它要素,即L 1中的要素是位于最高层次(第一级)的要素。然后,从原来的可达矩阵M中删去L 1中要素对应的行、列得到矩阵M′,对M′进行同样操作确定属于第二级L 2的要素。以后重复同样操作,依次求出L 3,L 4,…,从而把各要素分配到相应的级别上。 The element in L 1 has the following characteristics: the element can be reached from other elements, but cannot be reached from the element, that is, the element in L 1 is the element at the highest level (first level). Then, delete the rows and columns corresponding to the elements in L 1 from the original reachable matrix M to obtain the matrix M′, and perform the same operation on M′ to determine the elements belonging to the second level L 2 . Repeat the same operation in the future to find L 3 , L 4 , ... in order to assign each element to the corresponding level.
在步骤S103中,根据要素间层级关系获取指标集结构图。In step S103, an index set structure diagram is obtained according to the hierarchical relationship between elements.
在本发明的一个实施例中,根据要素间层级关系获取指标集结构图,进一步包括:根据级别顺序将要素集合从上至下放置,并用有向箭头或线段代表相邻级别要素间的关系及同一级别内要素之间的关系,以搭建指标集内每个要素的层次结构图,其中,在指标集构建的过程中,如果要素之间存在相互影响作用关系,则通过人工或定量化评估进行判定,以消除相互影响作用关系。In an embodiment of the present invention, obtaining the index set structure diagram according to the hierarchical relationship between the elements further includes: placing the element set from top to bottom according to the level order, and using directed arrows or line segments to represent the relationship between adjacent level elements and The relationship between the elements in the same level to build a hierarchical structure diagram of each element in the index set. In the process of building the index set, if there is a mutual influence between the elements, it is carried out through manual or quantitative evaluation. Judgment to eliminate the interaction of mutual influence.
可以理解的是,要素间的层级关系构建后,在最上层放第一级L 1的要素,下面是第二级L 2的要素,依次类推,把各要素从上至下按级别顺序放置。并用有向箭头/线段代表相邻级别要素间的关系及同一级别内要素之间的关系,进而完成指标集内各要素的层次结构图搭建工作。另外,指标集在构建过程中,如相互之间存在互为影响关系的情况时,本发明实施例可以再次凭借专家小组或其他可行的定量化评估方法进行判定,消除这种相互作用关系,以保证评估指标的独立性。 It can be understood that after the hierarchical relationship between the elements is constructed, the elements of the first level L 1 are placed on the uppermost layer, and the elements of the second level L 2 are below, and so on, and the elements are placed in order from top to bottom. And use directed arrows/line segments to represent the relationship between the elements of adjacent levels and the relationship between the elements of the same level, and then complete the construction of the hierarchical structure of each element in the index set. In addition, during the construction of the indicator set, if there is a mutually influential relationship between each other, the embodiments of the present invention can again use expert panels or other feasible quantitative evaluation methods to make judgments to eliminate this interaction relationship. Ensure the independence of evaluation indicators.
综上,本发明实施例选用指标体系法进行风险评估时,基于解释结构模型进行指标集结构的搭建,可定量化理清指标因子间的层级关系,为风险评估的合理、科学性,风险防治的具体性和针对性提供依据,从而有效解决在采用指标体系法进行风险评估时,半定量化进行指标集构建的问题。其中,解释结构模型是一种定性与定量相结合的用以明确评估指标因子间结构关系的方法,用以参加矩阵运算的指标因子及各指标之间的两两关系为专家经验确定得出,经过矩阵运算后,可通过因子之间的可达性,定量化构建指标集的层次结构。In summary, when the indicator system method is used for risk assessment in the embodiment of the present invention, the index set structure is constructed based on the explanatory structure model, which can quantify and clarify the hierarchical relationship between the index factors, which is reasonable and scientific for risk assessment and risk prevention. Provide specific basis and pertinence to effectively solve the problem of semi-quantitative index set construction when using the index system method for risk assessment. Among them, the explanation structure model is a qualitative and quantitative method to clearly evaluate the structural relationship between index factors. The index factors used to participate in the matrix calculation and the pairwise relationship between each index are determined by expert experience. After matrix operations, the accessibility between factors can be used to quantify the hierarchical structure of the index set.
根据本发明实施例提出的风险评估指标集构建方法,通过矩阵运算实现定量化表征各因子之间的层级关系,实现风险评估指标集的构建,从而优化风险评估指标集构建的科学性和合理性,为风险防治的具体性和针对性提供依据,简单易实现。According to the construction method of the risk assessment indicator set proposed in the embodiment of the present invention, the matrix operation is used to quantitatively characterize the hierarchical relationship between the various factors and the construction of the risk assessment indicator set, thereby optimizing the scientificity and rationality of the construction of the risk assessment indicator set To provide a basis for the specificity and pertinence of risk prevention and control, which is simple and easy to implement.
其次参照附图描述根据本发明实施例提出的风险评估指标集构建装置。Next, a device for constructing a risk assessment indicator set according to an embodiment of the present invention will be described with reference to the drawings.
图2是本发明一个实施例的风险评估指标集构建装置的结构示意图。2 is a schematic structural diagram of an apparatus for constructing a risk assessment indicator set according to an embodiment of the present invention.
如图2所示,该风险评估指标集构建装置10包括:第一获取模块100、构建模块200和第二获取模块300。As shown in FIG. 2, the risk assessment indicator set construction device 10 includes: a first acquisition module 100, a construction module 200 and a second acquisition module 300.
其中,第一获取模块100用于获取多个风险评估的风险因子,并生成每个风险因子之 间的邻接矩阵。构建模块200用于根据邻接矩阵得到可达矩阵,以构建要素间层级关系。第二获取模块300用于根据要素间层级关系获取指标集结构图。本发明实施例的装置10优化风险评估指标集构建的科学性和合理性,为风险防治的具体性和针对性提供依据,简单易实现。Among them, the first obtaining module 100 is used to obtain multiple risk factors for risk assessment and generate an adjacency matrix between each risk factor. The construction module 200 is used to obtain a reachable matrix according to the adjacency matrix to construct a hierarchical relationship between elements. The second obtaining module 300 is used to obtain the index set structure diagram according to the hierarchical relationship between the elements. The device 10 of the embodiment of the present invention optimizes the scientificity and rationality of the construction of the risk assessment index set, provides a basis for the specificity and pertinence of risk prevention, and is simple and easy to implement.
进一步地,在本发明的一个实施例中,邻接矩阵的关系表达式为:Further, in an embodiment of the present invention, the relational expression of the adjacency matrix is:
A=(a ij) n×nA=(a ij ) n×n ,
其中,a ij=1,表示因子i与因子j之间存在直接的关系;a ij=0,表示因子i与因子j之间不存在直接的关系;n为正整数。 Among them, a ij = 1, indicating that there is a direct relationship between factor i and factor j; a ij = 0, indicating that there is no direct relationship between factor i and factor j; n is a positive integer.
进一步地,在本发明的一个实施例中,构建模块200进一步用于根据可达矩阵对每个风险因子求可达集合与先行集合,并根据可达集合与先行集合得到要素集合,以得到要素间层级关系。Further, in an embodiment of the present invention, the construction module 200 is further configured to obtain the reachable set and the prior set for each risk factor according to the reachable matrix, and obtain the element set according to the reachable set and the advance set to obtain the element Inter-level relationship.
进一步地,在本发明的一个实施例中,在要素集合中,从其它要素允许到达要素集合中的元素,且从要素集合中的元素不允许到达其它要素。Further, in one embodiment of the present invention, in the element set, the elements in the element set are allowed to reach from other elements, and the elements in the element set are not allowed to reach other elements.
进一步地,在本发明的一个实施例中,第二获取模块300进一步用于根据级别顺序将要素集合从上至下放置,并用有向箭头或线段代表相邻级别要素间的关系及同一级别内要素之间的关系,以搭建指标集内每个要素的层次结构图,其中,在所述指标集构建的过程中,如果所述要素之间存在相互影响作用关系,则通过人工或定量化评估进行判定,以消除所述相互影响作用关系。Further, in one embodiment of the present invention, the second acquisition module 300 is further configured to place the element set from top to bottom according to the level order, and use directed arrows or line segments to represent the relationship between adjacent level elements and within the same level The relationship between the elements to build a hierarchical structure diagram of each element in the indicator set, where, during the construction of the indicator set, if there is a mutual interaction between the elements, manual or quantitative evaluation A decision is made to eliminate the interaction effect.
需要说明的是,前述对风险评估指标集构建方法实施例的解释说明也适用于该实施例的风险评估指标集构建装置,此处不再赘述。It should be noted that the foregoing explanation and explanation of the embodiment of the method for constructing a risk assessment indicator set is also applicable to the apparatus for constructing a risk assessment indicator set in this embodiment, and details are not described here.
根据本发明实施例提出的风险评估指标集构建装置,通过矩阵运算实现定量化表征各因子之间的层级关系,实现风险评估指标集的构建,从而优化风险评估指标集构建的科学性和合理性,为风险防治的具体性和针对性提供依据,简单易实现。According to the device for constructing a risk assessment indicator set according to an embodiment of the present invention, a matrix operation is used to quantitatively characterize the hierarchical relationship between various factors and the construction of a risk assessment indicator set, thereby optimizing the scientificity and rationality of risk assessment indicator set construction To provide a basis for the specificity and pertinence of risk prevention and control, which is simple and easy to implement.
此外,术语“第一”、“第二”仅用于描述目的,而不能理解为指示或暗示相对重要性或者隐含指明所指示的技术特征的数量。由此,限定有“第一”、“第二”的特征可以明示或者隐含地包括至少一个该特征。在本发明的描述中,“多个”的含义是至少两个,例如两个,三个等,除非另有明确具体的限定。In addition, the terms "first" and "second" are used for description purposes only, and cannot be understood as indicating or implying relative importance or implicitly indicating the number of indicated technical features. Thus, the features defined as "first" and "second" may include at least one of the features explicitly or implicitly. In the description of the present invention, the meaning of "plurality" is at least two, such as two, three, etc., unless specifically defined otherwise.
在本说明书的描述中,参考术语“一个实施例”、“一些实施例”、“示例”、“具体示例”、或“一些示例”等的描述意指结合该实施例或示例描述的具体特征、结构、材料或者特点包含于本发明的至少一个实施例或示例中。在本说明书中,对上述术语的示意性表述不必须针对的是相同的实施例或示例。而且,描述的具体特征、结构、材料或者特点可以在任一个或多个实施例或示例中以合适的方式结合。此外,在不相互矛盾的情况下,本领域的技术人员可以将本说明书中描述的不同实施例或示例以及不同实施例或示例的特征进行结合 和组合。In the description of this specification, the description referring to the terms "one embodiment", "some embodiments", "examples", "specific examples", or "some examples" means specific features described in conjunction with the embodiment or examples , Structure, material or characteristic is included in at least one embodiment or example of the present invention. In this specification, the schematic representation of the above terms does not necessarily refer to the same embodiment or example. Moreover, the specific features, structures, materials, or characteristics described may be combined in any suitable manner in any one or more embodiments or examples. In addition, without contradicting each other, those skilled in the art may combine and combine different embodiments or examples and features of different embodiments or examples described in this specification.
尽管上面已经示出和描述了本发明的实施例,可以理解的是,上述实施例是示例性的,不能理解为对本发明的限制,本领域的普通技术人员在本发明的范围内可以对上述实施例进行变化、修改、替换和变型。Although the embodiments of the present invention have been shown and described above, it should be understood that the above-mentioned embodiments are exemplary and cannot be construed as limitations to the present invention. Those of ordinary skill in the art can The embodiments are changed, modified, replaced, and modified.

Claims (10)

  1. 一种风险评估指标集构建方法,其特征在于,包括以下步骤:A method for constructing a risk assessment indicator set is characterized by the following steps:
    获取多个风险评估的风险因子,并生成每个风险因子之间的邻接矩阵;Obtain multiple risk factors for risk assessment and generate adjacency matrix between each risk factor;
    根据所述邻接矩阵得到可达矩阵,以构建要素间层级关系;以及Obtain a reachable matrix according to the adjacency matrix to construct a hierarchical relationship between elements; and
    根据所述要素间层级关系获取指标集结构图。Obtain the index set structure diagram according to the hierarchical relationship between the elements.
  2. 根据权利要求1所述的风险评估指标集构建方法,其特征在于,所述邻接矩阵的关系表达式为:The method for constructing a risk assessment indicator set according to claim 1, wherein the relational expression of the adjacency matrix is:
    A=(a ij) n×nA=(a ij ) n×n ,
    其中,a ij=1,表示因子i与因子j之间存在直接的关系;a ij=0,表示因子i与因子j之间不存在直接的关系;n为正整数。 Among them, a ij = 1, indicating that there is a direct relationship between factor i and factor j; a ij = 0, indicating that there is no direct relationship between factor i and factor j; n is a positive integer.
  3. 根据权利要求1所述的风险评估指标集构建方法,其特征在于,所述构建要素间层级关系,包括:The method for constructing a risk assessment indicator set according to claim 1, wherein the hierarchical relationship between the construction elements includes:
    根据所述可达矩阵对所述每个风险因子求可达集合与先行集合;Obtaining the reachable set and the prior set for each risk factor according to the reachable matrix;
    根据所述可达集合与先行集合得到要素集合,以得到所述要素间层级关系。An element set is obtained according to the reachable set and the prior set to obtain the hierarchical relationship between the elements.
  4. 根据权利要求3所述的风险评估指标集构建方法,其特征在于,在所述要素集合中,从其它要素允许到达所述要素集合中的元素,且从所述要素集合中的元素不允许到达所述其它要素。The method for constructing a risk assessment indicator set according to claim 3, wherein in the element set, the elements in the element set are allowed to arrive from other elements, and the elements in the element set are not allowed to arrive The other elements.
  5. 根据权利要求3或4所述的风险评估指标集构建方法,其特征在于,所述根据所述要素间层级关系获取指标集结构图,进一步包括:The method for constructing a risk assessment indicator set according to claim 3 or 4, wherein the acquiring the indicator set structure diagram according to the hierarchical relationship between the elements further comprises:
    根据级别顺序将所述要素集合从上至下放置,并用有向箭头或线段代表相邻级别要素间的关系及同一级别内要素之间的关系,以搭建指标集内每个要素的层次结构图,其中,Place the set of elements from top to bottom according to the level order, and use directed arrows or line segments to represent the relationship between adjacent level elements and the relationship between elements within the same level to build a hierarchical structure diagram of each element in the index set ,among them,
    在所述指标集构建的过程中,如果所述要素之间存在相互影响作用关系,则通过人工或定量化评估进行判定,以消除所述相互影响作用关系。In the process of constructing the indicator set, if there is an interaction relationship between the elements, a judgment is made through manual or quantitative evaluation to eliminate the interaction relationship.
  6. 一种风险评估指标集构建装置,其特征在于,包括:A risk assessment indicator set construction device, characterized in that it includes:
    第一获取模块,用于获取多个风险评估的风险因子,并生成每个风险因子之间的邻接矩阵;The first obtaining module is used to obtain multiple risk factors of risk assessment and generate adjacency matrix between each risk factor;
    构建模块,用于根据所述邻接矩阵得到可达矩阵,以构建要素间层级关系;以及A building module for obtaining a reachable matrix according to the adjacency matrix to build a hierarchical relationship between elements; and
    第二获取模块,用于根据所述要素间层级关系获取指标集结构图。The second obtaining module is configured to obtain the structure diagram of the index set according to the hierarchical relationship between the elements.
  7. 根据权利要求6所述的风险评估指标集构建装置,其特征在于,所述邻接矩阵的关系表达式为:The apparatus for constructing a risk assessment indicator set according to claim 6, wherein the relational expression of the adjacency matrix is:
    A=(a ij) n×nA=(a ij ) n×n ,
    其中,a ij=1,表示因子i与因子j之间存在直接的关系;a ij=0,表示因子i与因子j之间不存在直接的关系;n为正整数。 Among them, a ij = 1, indicating that there is a direct relationship between factor i and factor j; a ij = 0, indicating that there is no direct relationship between factor i and factor j; n is a positive integer.
  8. 根据权利要求6所述的风险评估指标集构建装置,其特征在于,所述构建模块进一步用于根据所述可达矩阵对所述每个风险因子求可达集合与先行集合,并根据所述可达集合与先行集合得到要素集合,以得到所述要素间层级关系。The risk assessment indicator set construction device according to claim 6, wherein the construction module is further configured to obtain the reachable set and the prior set for each risk factor according to the reachability matrix, and according to the The reachable set and the prior set obtain the element set to obtain the hierarchical relationship between the elements.
  9. 根据权利要求8所述的风险评估指标集构建装置,其特征在于,在所述要素集合中,从其它要素允许到达所述要素集合中的元素,且从所述要素集合中的元素不允许到达所述其它要素。The risk evaluation indicator set construction device according to claim 8, wherein in the element set, the elements in the element set are allowed to reach from other elements, and the elements in the element set are not allowed to arrive The other elements.
  10. 根据权利要求8或9所述的风险评估指标集构建装置,其特征在于,所述第二获取模块进一步用于根据级别顺序将所述要素集合从上至下放置,并用有向箭头或线段代表相邻级别要素间的关系及同一级别内要素之间的关系,以搭建指标集内每个要素的层次结构图,其中,The risk assessment indicator set construction device according to claim 8 or 9, wherein the second acquisition module is further configured to place the element set from top to bottom according to the level order, and is represented by a directed arrow or a line segment The relationship between the elements of adjacent levels and the relationship between elements in the same level to build a hierarchical structure diagram of each element in the index set, where,
    在所述指标集构建的过程中,如果所述要素之间存在相互作用关系,则通过人工或定量化评估进行判定,以消除所述相互作用关系。In the process of constructing the index set, if there is an interaction relationship between the elements, a judgment is made through manual or quantitative evaluation to eliminate the interaction relationship.
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