CN106067087A - A kind of Regional Water Environment risk partition method - Google Patents
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Abstract
The invention provides a kind of Regional Water Environment risk partition method, comprise determining that the driving force factors of DPSIR model, press factors, state factor, factor of influence, response factor；Building Regional Water Environment Risk Assessment Index System, described structure Regional Water Environment Risk Assessment Index System includes the destination layer of reflecting regional Water environments simulation, system layer, rule layer, indicator layer from different perspectives；Analytic hierarchy process (AHP) is used to calculate each index weights assignment, then by each index system quantization modulation；The most again by Field Using Fuzzy Comprehensive Assessment, the value-at-risk of zoning water environment；With ArcGIS as aid, described region is divided into from high to low by risk high risk area, apoplexy danger zone, low-risk district, calm danger zone.Regional Water Environment can be estimated by such scheme the most accurately, thinks that decision-making provides foundation accurately.
Description
Technical field
The present invention relates to the data analysis and process technology of water environment evaluation areas, particularly relate to a kind of Regional Water Environment wind
Danger partition method.
Background technology
Due to social economy, developing rapidly of industrial or agricultural and constantly accelerating of urbanization process, all parts of the world district environment
Pressure increases the most day by day.20 century 70s, the U.S. first proposed the concept of environmental risk assessment (ERA), and it is the most western
The countries such as Fang Oumei are gradually approved.Water environments simulation assessment (WERA) is as the important component part of environmental risk assessment, and it is
On the basis of environmental risk assessment, carry out identification and the assessment of water environment cases probability of happening of the various potential risk of water environment
The process of work.As the important directions of ERA, it plays important in terms of Water environments simulation prediction with water environment cases prevention
Role.
Beijing-tianjin-hebei Region is north of China economy area the most flourishing, the most potential, including Beijing and Tianjin two
Municipality directly under the Central Government and prefecture-level city of 11, Hebei province.But, along with the fast development of regional economy, its environmental problem be gradually evolved into into
A regional difficult problem, environmental risk constantly accumulates, and crowd's equivalent risk receptor is continuously increased, and resosurces environment loading capacity is more weak, causes ring
Border accident once occurs, and just may produce serious consequence.On April 30th, 2015, " Jing-jin-ji region is approved in Political Bureau of the Central Committee's meeting
Cooperative development planning outline " point out, promoting Beijing-tianjin-hebei Region cooperative development is a great national strategy, is to promote resource environment
The needs being uniformly coordinated, the proposition of this strategy, accelerate the Jing-jin-ji region process of integration, while bringing opportunity for regional development,
Again its sustainable development is had higher requirement, bring bigger choosing also to region environment integration conservative management
War.In this context, carrying out Water environments simulation evaluation work in Beijing-tianjin-hebei Region can be that manager provides decision-making foundation, energy simultaneously
Effectively predict Water environments simulation, with feasible region water environment and economic sustainable development.
Nowadays, WERA is widely used in the excessive risk factor identified in water environment.Along with people's environmental consciousness by
Cumulative by force, a lot of methods are used for WERA process: Graphics overlay method, information diffusion method, index system method, fuzzy mathematics
Comprehensive estimation method etc..Wherein index system method has succinct, quick, the advantage of the high and low consumption of efficiency.Sun F etc. establishes
One index system (specifically asks for an interview F S, J C, Q T, S Z:Integrated risk assessment and screening
analysis of drinking water safety of a conventional water supply system.Water
Science and Technology 2007,56:47-56.), the method combines screening strength and Graphics testing matrix to region
Safe drinking water risk is evaluated, and establishes risk assessment procedures, and is characterized hydrological vulnerability.Wang B etc. exist
Risk of environmental pollution research (Wang B, Cheng H:Environmental Risk zoning has been carried out in basin, Baiyang Lake
Research in Baiyangdian Basin.Procedia Environmental Sciences 2011,10:2280-
6.), by GIS and RS technology, establish a simple index system to assess flood and shortage of water resources risk, the completeest
Become risk quantification and risk visualization.
If but it is the absence of certain theoretical foundation setting up index system, the blindness of evaluation will be increased, cause commenting
The irrationality of valency result, the most scientific.Therefore based on PSR, DSR model improved, industry proposes a kind of DPSIR
(Drivers Pressures States Impacts Responses；Driving, pressure, state, affect and respond) model,
And by OECD (Organization for Economic Cooperation and Development, economic cooperation with send out
Exhibition tissue) promote in the nineties in last century, and further developed by IGBP LOICZ.It can capture society, warp
" cause-effect " relation between Ji, environmental system, is therefore widely used in analyzing the interaction of human environmental systems
Journey.ZHANG S etc. proposes a kind of regional environment based on PSR model and health risk assessment index system, and binding hierarchy
Analytic process (AHP) determine weight ([16] Zhang S, Wei Z, Liu W, Yao L, Suo W, Xing J, Huang B, Jin D,
Wang J:Indicators for Environment Health Risk Assessment in the Jiangsu
Province of China.International journal of environmental research and public
health 2015,12:11012-24.)；And Xu EGB etc. propose a kind of for marine conservation areas, based on multilamellar DPSIR mould
The Environmental Risk Evaluation Method of type, and generate a data base assist manage (Xu EGB, Leung KMY, Morton B, Lee
JHW:An integrated environmental risk assessment and management framework for
enhancing the sustainability of marine protected areas:the Cape d'Aguilar
Marine Reserve case study in Hong Kong.The Science of the total environment
2015,505:269-81.).In general, DPSIR model can simplify the water environmental problems of complexity, makes policymaker be easier to grasp
The water environment situation in area under one's jurisdiction.
In terms of Risk Calculation method, existing research major part represents risk water with the simple product of weight and value-at-risk
Flat, reduce the levels of precision of result of calculation.Fuzzy integrated judgement method has the advantage such as clear in structure and high systematicness
It is widely used in value-at-risk to calculate, solve fuzzy and uncertain problem.
Peibin G etc. use analytic hierarchy process (AHP) and expert graded and Field Using Fuzzy Comprehensive Assessment to carry out west area
Sound environment risk assessment, and analyze and drawn and affect the principal element of result (Peibin G, Baojiang S, Gang
L,Yong W:Fuzzy comprehensive evaluation in well control risk assessment based
on AHP.Advances in Petroleum Exploration and Devel opment 2012,4:13-8.).Zhang Hai
Beautiful grade tentatively establishes urban eco landscape forest model based on fuzzy integrated judgement method and assesses Grand Liao River pollution situation
(Mia Audina: Daliaohe Estuary water environment pollution ecological risk assessment index system is studied with technical method. Qingdao: Chinese Sea is big
Learn, 2013.).
But, there is seldom research can comprehensively utilize above-mentioned several method, be regarded as entirety and Regional Water Environment risk is entered
Row assessment.
Summary of the invention
Based on drawbacks described above, the purpose of the embodiment of the present invention is to propose a kind of Regional Water Environment risk partition method, it is possible to
Theory according to DPSIR model using Water environments simulation system as one by being formed and to control the various key elements of environmental risk organic
In conjunction with entirety, build comprehensive and systematic Water environments simulation evaluation index system with this.
In order to achieve the above object, the embodiment of the present invention proposes a kind of Regional Water Environment risk partition method, including:
Step 1, determine the driving force factors of DPSIR model, press factors, state factor, factor of influence, response factor；
Wherein
Driving force factors is the latent factor promoting water environment pressure to be increased or decreased, and causes water environment to change
Indirect factor, at least includes: socio-economic development speed, population rate of rise etc.；
Press factors is to produce the direct driving force of Water environments simulation, characterizes social development to the demand of water resource and to water
The side effect that environment causes, at least includes: society's water-use efficiency, effluent sewage discharge；
State factor is to describe Regional Water Environment situation and promote protection of the water environment to carry out required precondition,
I.e. social-economic development status, at least includes: water quality, the water yield, Ecology situation；
Factor of influence is the impact caused Regional Water Environment and resident living under driving force direct, indirect promotes；
The control measures that response factor is taked by the various risks facing water environment；
Step 2, structure Regional Water Environment Risk Assessment Index System, described structure Regional Water Environment risk assessment index body
System includes the destination layer of reflecting regional Water environments simulation, system layer, rule layer, indicator layer from different perspectives；
Wherein said system layer includes at least following five parameters: driving force, pressure, state, affects, respond；
Wherein corresponding three the rule layer parameters of driving force: population growth, economic development, social development；Wherein population increases
Corresponding indicator layer includes: the natural growth rate of population, population density；Indicator layer corresponding to economic development includes: GPD increases
Rate, GDP per capita；The indicator layer that social development is corresponding includes: Engel's coefficient；
Wherein corresponding two the rule layer parameters of pressure: ambient pressure, resource pressure；The indicator layer that wherein ambient pressure is corresponding
Including: state key monitors enterprise's density, discharged volume of industrial waste water, sanitary sewage discharge capacity, COD annual emissions, agriculture chemical
Usage amount；The indicator layer that wherein resource pressure is corresponding includes: ten thousand yuan of GDP water consumptions, per capita water consumption；
Wherein corresponding four the rule layer parameters of state: the water yield, water quality, Ecology, receptor；The indicator layer that wherein water yield is corresponding
Including: water resources ownership per capita；Indicator layer corresponding to water quality includes: Water Functional Zone probability of meeting water quality standard；The finger that Ecology is corresponding
Mark layer includes: Wetland Area accounts for area under one's jurisdiction area ratio；The indicator layer that receptor is corresponding includes: sensitive group proportion；
Wherein corresponding three the rule layer parameters of impact: water environment, Ecology, resident living；The finger that wherein water environment is corresponding
Mark layer includes: river, lake are inferior toIIIClass water quality accounting；The indicator layer that Ecology is corresponding includes: soil erosion area ratio；Occupy
The people's livelihood corresponding indicator layer alive includes: concentrate water head site probability of meeting water quality standard, population average life, resident living water rate；
Wherein corresponding three the rule layer parameters of response: water resources management, water resource monitoring, stain disease process；Wherein water money
The indicator layer that source control is corresponding includes: water conservancy, environment, public infrastructure investment per capita；The indicator layer that water resource monitoring is corresponding
Including: surface water quality monitoring section point figure place；Stain disease processes corresponding indicator layer and includes: wastewater reuse approach rate, industry
Waste water handling rate；
Step 3, employing analytic hierarchy process (AHP) calculate each index weights assignment, then by each index system quantization modulation；So
After again by Field Using Fuzzy Comprehensive Assessment, the value-at-risk of zoning water environment；
Step 4, with ArcGIS as aid, described region is divided into from high to low by risk high risk area, apoplexy
Danger zone, low-risk district, calm danger zone.
Wherein, in described step 3 again by Field Using Fuzzy Comprehensive Assessment, the value-at-risk of zoning water environment, specifically wrap
Include:
Step 31, according to hierarchical relationship between destination layer, system layer, rule layer, indicator layer, set up membership function,
And calculate each index degree of membership for opinion rating；
Step 32, according to each hierarchical relationship of index system, set up structural model, set up fuzzy by relative membership degree and function
Relational matrix；Principle according to maximum membership degree determines final appraisal results.
Wherein, described step 31 specifically includes:
For reverse index, desired value is the least, and Water environments simulation is the highest:
For forward index, desired value is the biggest, and Water environments simulation is the highest:
Wherein xiRefer to i-th index；aiWith the kth level evaluation criterion that k is i-th index；rikRefer to that i-th index is for
The relative defects of k grade standard.
Wherein, described step 32 specifically includes:
Step 321, according to each hierarchical relationship of index system, set up structural model, set up mould by relative membership degree and function
Paste relational matrix:
Wherein m is index number contained by this grade；N is opinion rating number；
Step 322, it is divided into 4 layers due to Regional Water Environment Risk Assessment Index System, therefore n=4；According to weight sets W and
Fuzzy relation matrix carries out first, second and third grade of judge successively:
Wherein biFor the evaluation index degree of membership to i-th grade；
According to the principle of maximum membership degree, take withCorresponding risk class finally evaluates knot as this key element
Really.
Having the beneficial effect that of the technique scheme of the present invention:
Regional Water Environment can be estimated by such scheme the most accurately, thinks that decision-making provides foundation accurately.
Accompanying drawing explanation
Fig. 1 is the Regional Water Environment risk assessment subregion thinking figure of the embodiment of the present invention；
Fig. 2 is the DPSIR model evaluation block schematic illustration of the embodiment of the present invention；
Fig. 3 is the Field Using Fuzzy Comprehensive Assessment appraisal framework schematic diagram of the embodiment of the present invention.
Detailed description of the invention
For making the technical problem to be solved in the present invention, technical scheme and advantage clearer, below in conjunction with accompanying drawing and tool
Body example is described in detail.
Water environments simulation assessment determines that probability, the vulnerability of water environment and prediction accident that Water environments simulation occurs are sent out
The process of the raw impact that water environment is caused.At present, Water environments simulation appraisal procedure mainly has index system method, neutral net
Method, gray forecast approach, weighted risk analysis method, accident tree method etc..And nowadays, the height of Water environments simulation is sent out with social economy
Exhibition level is closely bound up.Therefore, compared with additive method, build DPSIR modelling can consider environment with economical two greatly because of
Element, it has been applied to the field such as environmental management and sustainable utilization of water resource the most.DPSIR model is at PSR model and DSR mould
Developing on the basis of type revision, it describes the chain of causation between origin and a result causing environmental problem.This
Bright embodiment, based on DPSIR model, considers the driving force and human society causing Water environments simulation to occur to water ring
Border apply pressure, and then assessment risk occur on water environment state produce impact, and the mankind on this impact make positive
Response, to complete Water environments simulation assessment.
As shown in Figure 1, the present invention is real for the Regional Water Environment risk assessment of the embodiment of the present invention and the mentality of designing of subregion
Execute example by index system method, mathematics method, the combination of analytic hierarchy process (AHP), structure Water environments simulation assessment integrated approach
System, thus complex environment condition is carried out comprehensively, simplify.
1, Regional Water Environment risk assessment based on DPSIR model is set up:
DPSIR model is respectively with driving force factors, press factors, state factor, factor of influence, response factor for setting out
Point, five factors spread mutually and coordinate, are estimated Water environments simulation.First, under index system method instructs, comment according to environmental risk
Estimate theory and set up appraisal framework and index system；
Secondly, carry out quantification calculating, based on Field Using Fuzzy Comprehensive Assessment, i.e. calculate system risk value, count in conjunction with AHP
Calculate each index weights assignment, by each index system quantization modulation；
Finally, according to result, with ArcGIS as aid, high risk area, risk it are divided into from high to low by risk
District, low-risk district, calm danger zone.
2, Water environments simulation evaluation index system is built
The embodiment of the present invention, from Regional environment risk Systems Theory, builds Regional Water Environment risk indicator system；Should
Index system is made up of destination layer, system layer, rule layer and indicator layer, with image study district Water environments simulation from different perspectives.
Collect initial data need to according to calculate reach characterize risk purpose, it is contemplated that data can availability, to data deficiency
Index, use equivalent substitution mode.The embodiment of the present invention, for the driving force promoting risk to occur, press factors, lays particular stress on
Consider the maximum industry of study area impact, agricultural, domestic pollution source, to water environment state, venture influence assessment with earth's surface
Water is main.
The evaluation index system particular content of the embodiment of the present invention refers to table 1, from aforesaid four level (targets in table 1
Layer is unlisted) set out, around DPSIR model, set up Water environments simulation evaluation index system.This table based on initial data,
Specify the computational methods of each index, data investigation is integrated, illustrate the effect status of each index and searching of initial data simultaneously
Collection source.
Table 1 Water environments simulation evaluation index system
Note: [a] assessment locality, district statistical yearbook；[b] assessment district local environment protection yearbook；[c] assessment district local environment
State publication；
Local environment protection website, the Room, [d] assessment district；[e] assessment locality, district water resource publication；[f] China Statistical Yearbook；
[g] China Environmental State Bulletin；[h] water resources in china publication；[i] document, data retrieval
3, Data Source
By consulting the modes such as the data such as each province and city yearbook, environmental aspect publication, literature search, data query, for finger
Content involved by mark system, sorts out the related data of each assessment unit.Consider data can availability and comprehensive, this
In bright embodiment based on 2012 annual datas data, this simply realizes a kind of form of the present invention certainly.Driving force
Level of factor data mainly obtain by the way of consulting each province and city yearbook, Chinese city yearbook and literature search；Press factors
Achievement data, in addition to by above-mentioned channel, obtains also by consulting environmental conservation yearbook.Other level of factor data acquiring mode
Refer to table 1.
4, weight is arranged
After index system is built up, each index weight in index system need to be determined, characterize each index to ring with this
The percentage contribution of border risk.At present, weighing computation method have levels analytic process (Analytic Hierarchy Process,
AHP), PCA, Information Entropy, state optimization method etc..Wherein analytic hierarchy process (AHP) is as the weight generally used at present
Computational methods, in conjunction with expert graded and qualitative-and-quantitative method, make decision-making stratification, structuring.
Analytic hierarchy process (AHP): Saaty TL:A scaling method for priorities in hierarchical
Structures.Journal of Mathematical this algorithm of Psychology 1977,15:234-81. is according to index
Influence degree between system hierarchical relationship and each element, relative importance between agriculture products, with reference to 1-9 scale implication, structure
Build judgment matrix.Use geometric method parameter layer relative relative to system layer, system layer relative to rule layer, rule layer
In destination layer, totally three grades of weighted values, and represent in the form of vectors.Finally result of calculation is carried out consistency check, it is ensured that C.R.
＜ 0.1 i.e. judgment matrix has preferable transitivity, concordance.The concrete calculation procedure of the method is referred to: Tesfamariam
S,Sadiq R:Risk-based environmental decision-making using fuzzy analytic
hierarchy process(F-AHP).Stochastic Environmental Research and Risk
Assessment 2006,21:35-50..Index weights result of calculation for the embodiment of the present invention refers to table 2.
Table 2 Water environments simulation evaluation index system quantization modulation and weight
5, index magnitude differentiation
Selected study area, and based on the data consulting acquisition, in conjunction with the symbolical meanings of each achievement data, with maximum journey
It is starting point that degree characterizes each research unit in driving force, pressure, state, the diversity that affects, respond five factors, in combination with
In country corresponding specification, standard, the grade scale of defined, carries out quantization modulation, thus completes each index index system
Scoring, quantization modulation is the results detailed in Table 2.
6, Field Using Fuzzy Comprehensive Assessment
Based on model of fuzzy synthetic evaluation, study area Water environments simulation is estimated.First according to destination layer, system
Hierarchical relationship between layer, rule layer, indicator layer, sets up membership function, and then calculates each index for opinion rating
Degree of membership.Each evaluation index degree of membership computational methods are as follows:
(1) for reverse index, desired value is the least, and Water environments simulation is the highest:
(2) for forward index, desired value is the biggest, and Water environments simulation is the highest:
Wherein xiRefer to i-th index；ai, k refer to the kth level evaluation criterion of i-th index；rikRefer to that i-th index is for kth
The relative defects of grade standard.
According to each hierarchical relationship of index system, set up structural model, set up fuzzy relation square by relative membership degree and function
Battle array:
Wherein m is index number contained by this grade；N is opinion rating number.
This study area Water environments simulation evaluation index system is divided into 4 layers, and need the most as shown in Figure 3 carry out three grades of judges,
Opinion rating is 4 (i.e. n=4).According to weight sets W and fuzzy relation matrix, carry out first, second and third grade of judge successively:
Wherein biFor the evaluation index degree of membership to i-th grade；
According to the principle of maximum membership degree, take withCorresponding risk class finally evaluates knot as this key element
Really.
The list of references that the present embodiments relate to is as follows, the list of references fortune in full that the embodiment of the present invention will be listed below
For this:
[1]Liu SY,Wang HQ,Li YL:Current Progress of Environmental Risk
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The above is the preferred embodiment of the present invention, it is noted that for those skilled in the art
For, on the premise of without departing from principle of the present invention, it is also possible to make some improvements and modifications, these improvements and modifications are also
Should be regarded as protection scope of the present invention.
Claims (4)
1. a Regional Water Environment risk partition method, it is characterised in that including:
Step 1, determine the driving force factors of DPSIR model, press factors, state factor, factor of influence, response factor；Wherein
Driving force factors is to promote the latent factor that is increased or decreased of water environment pressure, is cause that water environment changes indirect
Factor, at least includes: socio-economic development speed, population rate of rise etc.；
Press factors is to produce the direct driving force of Water environments simulation, characterizes social development to the demand of water resource and to water environment
The side effect caused, at least includes: society's water-use efficiency, effluent sewage discharge；
State factor is to describe Regional Water Environment situation and promote protection of the water environment to carry out required precondition, i.e. society
Meeting Economic Development Status, at least includes: water quality, the water yield, Ecology situation；
Factor of influence is the impact caused Regional Water Environment and resident living under driving force direct, indirect promotes；
The control measures that response factor is taked by the various risks facing water environment；
Step 2, structure Regional Water Environment Risk Assessment Index System, described structure Regional Water Environment Risk Assessment Index System bag
Include the destination layer of reflecting regional Water environments simulation, system layer, rule layer, indicator layer from different perspectives；
Wherein said system layer includes at least following five parameters: driving force, pressure, state, affects, respond；
Wherein corresponding three the rule layer parameters of driving force: population growth, economic development, social development；Wherein population increases correspondence
Indicator layer include: the natural growth rate of population, population density；Indicator layer corresponding to economic development includes: GPD annual rate of growth, people
All GDP；The indicator layer that social development is corresponding includes: Engel's coefficient；
Wherein corresponding two the rule layer parameters of pressure: ambient pressure, resource pressure；The indicator layer bag that wherein ambient pressure is corresponding
Include: state key monitoring enterprise density, discharged volume of industrial waste water, sanitary sewage discharge capacity, COD annual emissions, agriculture chemical make
Consumption；The indicator layer that wherein resource pressure is corresponding includes: ten thousand yuan of GDP water consumptions, per capita water consumption；
Wherein corresponding four the rule layer parameters of state: the water yield, water quality, Ecology, receptor；The indicator layer bag that wherein water yield is corresponding
Include: water resources ownership per capita；Indicator layer corresponding to water quality includes: Water Functional Zone probability of meeting water quality standard；The index that Ecology is corresponding
Layer includes: Wetland Area accounts for area under one's jurisdiction area ratio；The indicator layer that receptor is corresponding includes: sensitive group proportion；
Wherein corresponding three the rule layer parameters of impact: water environment, Ecology, resident living；The indicator layer that wherein water environment is corresponding
Including: river, lake are inferior to Group III water quality accounting；The indicator layer that Ecology is corresponding includes: soil erosion area ratio；Resident
The indicator layer of life correspondence includes: concentrate water head site probability of meeting water quality standard, population average life, resident living water rate；
Wherein corresponding three the rule layer parameters of response: water resources management, water resource monitoring, stain disease process；Wherein water resource pipe
The indicator layer of reason correspondence includes: water conservancy, environment, public infrastructure investment per capita；The indicator layer of water resource monitoring correspondence includes:
Surface water quality monitoring section point figure place；Stain disease processes corresponding indicator layer and includes: at wastewater reuse approach rate, industrial wastewater
Reason rate；
Step 3, employing analytic hierarchy process (AHP) calculate each index weights assignment, then by each index system quantization modulation；The most again
By Field Using Fuzzy Comprehensive Assessment, the value-at-risk of zoning water environment；
Step 4, with ArcGIS as aid, described region is divided into from high to low by risk high risk area, apoplexy danger zone,
Low-risk district, calm danger zone.
Regional Water Environment risk partition method the most according to claim 1, it is characterised in that leading to again in described step 3
Cross Field Using Fuzzy Comprehensive Assessment, the value-at-risk of zoning water environment, specifically include:
Step 31, according to hierarchical relationship between destination layer, system layer, rule layer, indicator layer, set up membership function, and count
Calculate each index degree of membership for opinion rating；
Step 32, according to each hierarchical relationship of index system, set up structural model, set up fuzzy relation by relative membership degree and function
Matrix；Principle according to maximum membership degree determines final appraisal results.
Regional Water Environment risk partition method the most according to claim 2, it is characterised in that described step 31 is specifically wrapped
Include:
For reverse index, desired value is the least, and Water environments simulation is the highest:
For forward index, desired value is the biggest, and Water environments simulation is the highest:
Wherein xiRefer to i-th index；aiWith the kth level evaluation criterion that k is i-th index；rikRefer to that i-th index is for kth level mark
Accurate relative defects.
Regional Water Environment risk partition method the most according to claim 2, it is characterised in that described step 32 is specifically wrapped
Include:
Step 321, according to each hierarchical relationship of index system, set up structural model, set up fuzzy closing by relative membership degree and function
It is matrix:
Wherein m is index number contained by this grade；N is opinion rating number；
Step 322, it is divided into 4 layers due to Regional Water Environment Risk Assessment Index System, therefore n=4；According to weight sets W and fuzzy
Relational matrix carries out first, second and third grade of judge successively:
Wherein biFor the evaluation index degree of membership to i-th grade；
According to the principle of maximum membership degree, take withCorresponding risk class is as the final appraisal results of this key element.
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