CN114997616A - Elevator safety comprehensive evaluation method based on fuzzy gravity center - Google Patents
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Abstract
The invention discloses an elevator safety comprehensive evaluation method based on fuzzy gravity center, which specifically comprises the following steps: s1, constructing an elevator safety evaluation index system; s2, respectively determining subjective weight and objective weight based on an improved analytic hierarchy process and an inverse entropy method, thereby determining comprehensive weight W; s3, establishing a fuzzy evaluation matrix R represented by membership degrees between each evaluation index and each evaluation grade according to the evaluation condition, and calculating the fuzzy gravity center G of each evaluation index; and S4, multiplying the weight vector W by the fuzzy gravity center vector G to obtain an evaluation result. By means of an improved weighting method combining an analytic hierarchy process and an inverse entropy method and matching with a fuzzy gravity center comprehensive evaluation method, comprehensive safety evaluation is conducted on the running state of the elevator, the safety state of the elevator is truly reflected, and the problem that when evaluation indexes are large in the traditional fuzzy comprehensive evaluation, if the weight of one index is small, the index is submerged, and therefore evaluation information is lost is solved.
Description
Technical Field
The invention relates to the technical field of elevator safety, in particular to an elevator safety comprehensive evaluation method based on fuzzy gravity center.
Background
The continuous development of society has changed people's life, and the elevator is as a modern public facilities of riding instead of walk, appears in public places such as office building, market, residential building, hotel more and more. The system provides great convenience and quick service for people, and meanwhile, troubles and injuries are often caused. The elevator safety evaluation is to carry out the first safety and prevention-oriented guideline, predict the danger and harm degree possibly brought to passengers by carrying out risk analysis and risk assessment on elevator equipment, components, human behaviors and management conditions, and provide reasonable and feasible safety countermeasure measures to guide risk control and accident prevention, thereby achieving the purposes of lowest accident rate, least loss and optimal safety investment benefit. At present, most of elevator safety index information comes from manual statistics of maintenance personnel, summary of safety code standards and analysis of safety evaluation models. For an elevator, due to numerous index factors, the completeness, the scientificity and the feasibility of establishing an index system are difficult to meet when the safety evaluation index system is established.
In addition, when the evaluation result is determined according to the maximum membership principle, if the maximum and the second maximum in a comment set are very close, only the maximum is selected, and thus the evaluation information is lost. Therefore, a fuzzy comprehensive evaluation method based on fuzzy barycenter is proposed.
Disclosure of Invention
Technical problem to be solved
Aiming at the defects of the prior art, the invention provides an elevator safety comprehensive evaluation method based on fuzzy gravity center, which is characterized in that a combined weight is calculated based on an empowerment method combining an improved analytic hierarchy process and an anti-entropy weight method, each index value is calculated by adopting an algorithm combining a fuzzy comprehensive evaluation method and the gravity center method, the evaluation result is determined according to the position of the gravity center by calculating the gravity center of a fuzzy set according to the evaluation condition of the evaluation index, and finally, each index value is weighted and synthesized into a final evaluation result to form a set of complete comprehensive evaluation method, and comprehensive evaluation and decision are made on the safety state of the elevator, so that the problem that when the evaluation index is more in the traditional fuzzy comprehensive evaluation, if the weight of a certain index is smaller, the index is submerged, so that the loss of the evaluation information is caused, and the accuracy and the reliability of the evaluation result are influenced is solved, in addition, when the evaluation result is determined according to the maximum membership rule, if the maximum and the second maximum in the comment set are very close to each other, only the maximum is still selected, thereby causing the problem of loss of evaluation information.
(II) technical scheme
The technical scheme for solving the technical problems is as follows: a comprehensive elevator safety evaluation method based on fuzzy gravity center specifically comprises the following steps:
s1, constructing an elevator safety evaluation index system;
s2, respectively determining subjective weight and objective weight based on an improved analytic hierarchy process and an inverse entropy method, thereby determining comprehensive weight W;
s3, establishing a fuzzy evaluation matrix R represented by membership degrees between each evaluation index and each evaluation grade according to the evaluation condition, and calculating the fuzzy gravity center G of each evaluation index;
and S4, multiplying the weight vector W by the fuzzy gravity center vector G to obtain an evaluation result.
The comprehensive safety assessment is carried out on the running state of the elevator by an improved weighting method combining an analytic hierarchy process and an inverse entropy value method and matching with a fuzzy gravity center comprehensive evaluation method, so that the running state of the elevator is truly reflected.
Further, step S1 specifically includes:
s11, selecting a plurality of elevator safety performance indexes as evaluation indexes;
and S12, dividing the evaluation index into a plurality of layers, and establishing a layer structure model.
The principle of selecting the running performance index of the elevator is to select the index which is as less as possible and has important influence on the running of the elevator as an evaluation index.
Further, the evaluation index at least comprises personnel factors, equipment factors, environment factors and management factors, wherein the personnel factors comprise users, managers and maintenance personnel, the equipment factors comprise traction capacity, braking capacity, landing door protection, overspeed protection, travel position control and electrical control, the environment factors comprise use places, machine room environment, well environment and pit environment, and the management factors comprise safety management mechanisms, safety management systems, implementation and safety inspection.
The second layer of the established evaluation indexes is personnel factors, equipment factors, environmental factors and management factors, and the third layer is users, managers, maintenance personnel, traction capacity, braking capacity, layer bridge door protection, overspeed protection, travel position control, electrical control, use places, machine room environment, well environment, pit environment, safety management mechanisms, safety management system, implementation and safety inspection.
Further, the determining the objective weight based on the entropy weight method in step S2 specifically includes:
s211, setting m indexes and n evaluation objects to obtain an m multiplied by n matrix of an evaluation matrix X:
s213, calculating the inverse entropy of each index:wherein the content of the first and second substances,if p is ij When 1, then define(wherein i is more than or equal to 1 and less than or equal to m, and j is more than or equal to 1 and less than or equal to n); s214, calculating the weight of the evaluation element: thereby obtaining the weight W of each element b =(w 1 ,w 2 ,w 3 ...w n )。
Further, the step S2 of determining the subjective weight based on the improved analytic hierarchy process specifically includes:
s221, establishing a comparison matrix, and comparing the relative importance of the relevant factors on the level according to the factors of the next level, so as to establish a comparison matrix A, wherein the mutual importance of the factors is represented by (0,1,2) by using a three-scale method;
s222, firstly, m schemes are set, n indexes are set, and a comparison matrix a ═ a is established ij )m×n:
S223, calculating the ranking index of the importance of each element, converting the comparison matrix into a judgment matrix r i Is the ranking index of each index:
s224, constructing a judgment matrix by a pole difference method. Comparing matrix A ═ a ij ) m×n Converting into a judgment matrix C ═ C (C) by a pole difference method ij ) m×n :R represents a range of R max -r min ,C b 9, wherein r max =max{r 1 ,r 2 ,…,r n },r min =min{r 1 ,r 2 ,…,r n };
S225, multiplying each element according to rows and dividing by the power of n to obtain the geometric mean value of each element:
and S226, calculating the characteristic vector and the characteristic value and carrying out consistency check. First of all b i Normalizing to obtain the characteristic vector W (W) corresponding to the maximum characteristic value 1 ,w 2 ,w 3 ...w n ) WhereinS227, calculating the maximum characteristic value of the judgment matrixConsistency checkThe weight values after the consistency check is satisfied are characteristic vector values: w a =(w 1 ,w 2 ,w 3 ...w n )。
Further, the step S2 of determining the comprehensive weight based on the subjective weight and the objective weight specifically includes:
the subjective weight and the objective weight are combined in a combination mode to obtain a comprehensive weight W ═ alpha W a +(1-α)W b And alpha is preference weight, alpha is more than or equal to 0 and less than or equal to 1, and alpha is taken to be 0.4 after consulting experts and consulting data. W a Is a subjective weight, W b Is an objective weight.
Further, step S3 specifically includes:
establishing a fuzzy evaluation matrix represented by membership degrees between each evaluation index and each evaluation grade according to the evaluation conditionThe fuzzy center of gravity G of each evaluation index is calculated.
If the universe of discourse U is a bounded measurable set in a real universe, the membership function mu of the fuzzy set A on U A (x) The center of gravity of (c) is defined as:wherein ^ mu A (x)dx≠0。
Further, step S4 specifically includes: and the weight vector W is multiplied by the fuzzy gravity center vector G to obtain an evaluation result.
The beneficial effects of the invention are:
1. according to the elevator safety comprehensive assessment method based on the fuzzy gravity center, the improved analytic hierarchy process is adopted to calculate the subjective weight, the three-scale method is utilized to construct the judgment matrix, the knowledge and experience of experts are considered, too many subjective factors can be effectively reduced, and the calculation workload is reduced.
2. According to the elevator safety comprehensive evaluation method based on the fuzzy gravity center, the anti-entropy weight method is adopted to calculate the objective weight, the generated weight contrast is weak, and the method can supplement an AHP algorithm.
3. The elevator safety comprehensive assessment method based on the fuzzy gravity center adopts an improved weighting method combining an Analytic Hierarchy Process (AHP) and an anti-entropy weight method, is matched with a fuzzy gravity center comprehensive evaluation method, reduces information loss by calculating the gravity center of a fuzzy set, and performs comprehensive safety assessment on the elevator safety state.
Drawings
FIG. 1 is a schematic flow chart of the present invention.
Fig. 2 is a flow chart of substeps of the present invention.
Fig. 3 is a hierarchy diagram of elevator safety performance indicators in accordance with the present invention.
Detailed Description
In order to facilitate a better understanding of the invention for those skilled in the art, the invention will be described in further detail with reference to the accompanying drawings and specific examples, which are given by way of illustration only and do not limit the scope of the invention.
As shown in fig. 1, the comprehensive elevator safety evaluation method based on a fuzzy center of gravity in this embodiment specifically includes:
s1, constructing an elevator safety evaluation index system;
s2, respectively determining subjective weight and objective weight based on an improved analytic hierarchy process and an inverse entropy method, thereby determining comprehensive weight W;
s3, establishing a fuzzy evaluation matrix R represented by membership degrees between each evaluation index and each evaluation grade according to the evaluation condition, and calculating the fuzzy gravity center G of each evaluation index;
and S4, multiplying the weight vector W by the fuzzy gravity center vector G to obtain an evaluation result.
The comprehensive safety assessment is carried out on the running state of the elevator by an improved weighting method combining an analytic hierarchy process and an entropy weight resisting method and matching with a fuzzy gravity center comprehensive evaluation method, so that the running state of the elevator is truly reflected.
The steps of the comprehensive elevator safety evaluation method based on the fuzzy center of gravity of the invention are described in detail below with reference to fig. 2 and 3.
Fig. 2 shows a flow chart of the substeps included in the fuzzy gravity center based elevator safety comprehensive evaluation method of the present invention.
Step S1 specifically includes:
s11, selecting a plurality of elevator safety performance indexes as evaluation indexes;
and S12, dividing the evaluation index into a plurality of layers, and establishing a layer structure model.
The established elevator safety performance evaluation index system is shown in fig. 3, and in the embodiment, 16 elevator operation performance indexes are selected as evaluation indexes and are divided into three levels. The first layer of the established evaluation indexes is a target layer, the elevator safety comprehensive evaluation C is performed, the second layer of the evaluation indexes comprises personnel factors C1, equipment factors C2, environmental factors C3 and management factors C4, the third layer of the evaluation indexes comprises a user C11, a manager C12, maintenance personnel C13, traction capacity C21, braking capacity C22, layer bridge door protection C23, overspeed protection C24, travel position control C25, electrical control C26, a use place C31, a machine room environment C32, a hoistway environment C33, a pit environment C34, a safety management mechanism C41, a safety management system, implementation C42 and safety inspection C43.
Step S2 specifically includes: and respectively determining subjective weight and objective weight based on an improved analytic hierarchy process and an inverse entropy method, and determining comprehensive weight W based on the subjective weight and the objective weight.
Wherein, the determining the objective weight based on the entropy weight resisting method specifically comprises the following steps:
s211, m evaluation indexes and n evaluation objects are provided, and an m multiplied by n matrix of the evaluation matrix X can be obtained. In the embodiment, 3 experts are selected to score 16 evaluation indexes, and an evaluation matrix A is constructed.
A scoring criterion is determined. U ═ safety (safe, relatively safe, generally safe, very unsafe). 85-100 is safe, 70-85 is relatively safe, 55-70 is generally safe, and less than 55 is very unsafe.
Table 1 elevator safety evaluation index scoring raw data table:
s212, data is normalized. In this example, the normalization process results in the following table 2:
second level index | Inverse entropy E j |
C11 | 0.808104262 |
C12 | 0.754104689 |
C13 | 0.867563228 |
C21 | 0 |
C22 | 0.711755305 |
C23 | 0.990965617 |
C24 | 0.711755305 |
C25 | 0.789269644 |
C26 | 0.867563228 |
C31 | 0.754104689 |
C32 | 0.705583925 |
C33 | 0.711755305 |
C34 | 0.699825402 |
C41 | 0.702043421 |
C42 | 0.929138007 |
C43 | 0.724005544 |
And S214, calculating to obtain objective weight. Table 3 evaluation index weight table.
The subjective weight determination based on the improved analytic hierarchy process specifically comprises: a comparison matrix is established using a three-scale method.
Then calculating the ranking index r of the importance of each element, constructing a judgment matrix by a range method, finally obtaining a vector value,
obtaining a comparison matrix and a sequencing index:
C1 | C11 | C12 | C13 | r i |
C11 | 1 | 2 | 2 | 5 |
C12 | 0 | 1 | 2 | 3 |
C13 | 0 | 0 | 1 | 1 |
obtaining a judgment matrix:
calculate the corresponding b i And w i The value is obtained. b i =(3,1,1/3);W i (0.6923, 0.2308, 0.0769), CR is 0 < 0.1 as calculated by the identity test, satisfying the identity test, i.e. weight w is (0.6923, 0.2308, 0.0769).
Similarly, the subjective weights of all indexes of the evaluation index system can be obtained, and are shown in the evaluation index weight table 3.
Calculation of combining weight, W ═ α W a +(1-α)W b Table 3 evaluation index weight table.
Step S3 specifically includes: according to a designed evaluation index system, some experts are requested to evaluate the elevator safety condition of the enterprise, each expert gives a corresponding evaluation grade (safe, relatively safe, generally safe and very unsafe) to each evaluation index according to an evaluation standard, a fuzzy evaluation matrix R represented by membership degrees between each evaluation index and each evaluation grade is established according to the evaluation condition, and the fuzzy gravity center G of each evaluation index of the secondary indexes is calculated.
The evaluation grade (safe, safer, generally safer and less safe) is represented by a number (7, 5, 3, 1), and the center of gravity is blurred(wherein, a, b, c, d represent membership degrees with evaluation grades of safe, relatively safe, generally safe and very unsafe, and a + b + c + d is 1). Table 4 shows the evaluation of the elevator safety index system.
Step S4 specifically includes: and multiplying the weight vector W by the fuzzy gravity center vector G to obtain an evaluation result.
According to the fuzzy barycenter of the secondary index in the table 4, the fuzzy barycenter of the personnel factor is calculated to be G 1 The fuzzy center of gravity G of the installation factors can be determined in the same way as 0.4788 × 5.8+0.3511 × 4.4+0.1701 × 4.7 ═ 5.1214 2 4.6159, fuzzy center of gravity G of environmental factors 3 5.2813 fuzzy center of gravity G of management factor 4 =4.6193。
The four first-level indexes are ranked as G 3 >G 1 >G 4 >G 2 The evaluation of the environmental factors can be obtained as being safer.
And multiplying the four calculated fuzzy barycenters by the weights of the four primary indexes to obtain a final result G of elevator safety evaluation, which is 4.9071, wherein the evaluation result shows that the elevator state is safer.
The foregoing is considered as illustrative only of the principles and embodiments of the invention, and no unnecessary description is made herein of the details of known or customary practice in the art. It should be noted that, for those skilled in the art, without departing from the present invention, several modifications can be made, which should also be regarded as the protection scope of the present invention, and these will not affect the effect of the implementation of the present invention and the practicability of the patent. The scope of protection claimed in the present application shall be subject to the contents of the claims, and the description of the embodiments and the like in the specification shall be used to explain the contents of the claims.
Claims (8)
1. The comprehensive elevator safety evaluation method based on the fuzzy gravity center is characterized by comprising the following steps:
s1, constructing an elevator safety evaluation index system;
s2, respectively determining subjective weight and objective weight based on an improved analytic hierarchy process and an inverse entropy method, thereby determining comprehensive weight W;
s3, establishing a fuzzy evaluation matrix R represented by membership degrees between each evaluation index and each evaluation grade according to the evaluation condition, and calculating the fuzzy gravity center G of each evaluation index;
and S4, multiplying the weight vector W by the fuzzy gravity center vector G to obtain an evaluation result.
2. The comprehensive elevator safety evaluation method based on the fuzzy center of gravity according to claim 1, wherein the step S1 specifically comprises:
s11, selecting a plurality of elevator safety performance indexes as evaluation indexes;
and S12, dividing the evaluation index into a plurality of layers, and establishing a layer structure model.
3. The comprehensive elevator safety assessment method according to claim 2, wherein the assessment indexes at least include personnel factors, equipment factors, environmental factors and management factors, the personnel factors include users, managers and maintenance personnel, the equipment factors include traction capacity, braking capacity, landing door protection, overspeed protection, travel position control and electrical control, the environmental factors include use places, machine room environment, hoistway environment and pit environment, and the management factors include safety management mechanisms, safety management system and implementation and safety inspection.
4. The comprehensive elevator safety assessment method according to claim 1, wherein the determining objective weights based on the entropy weight method in step S2 specifically comprises:
s211, setting m indexes and n evaluation objects, and obtaining an m multiplied by n matrix of the evaluation matrix X:
s213, calculating the inverse entropy of each index:wherein the content of the first and second substances,if p is ij When 1, then define(wherein i is more than or equal to 1 and less than or equal to m, and j is more than or equal to 1 and less than or equal to n);
5. The comprehensive elevator safety assessment method according to claim 1, wherein the step S2 of determining subjective weights based on improved analytic hierarchy process specifically comprises:
s221, constructing a comparison matrix by adopting a three-scale method, and representing the mutual importance among all factors by (0,1, 2);
s222, firstly, m schemes are set, n indexes are set, and a comparison matrix a ═ a is established ij ) m×n :
S223, calculating the ranking index of the importance of each element, converting the comparison matrix into a judgment matrix r i Is the ranking index of each index:
s224, constructing the determination matrix by the range method, and changing the comparison matrix a to (a) ij ) m×n Converting into a judgment matrix C ═ C (C) by a range method ij ) m×n :R represents a polar difference of R max -r min ,C b 9, wherein r max =max{r 1 ,r 2 ,…,r n },r min =min{r 1 ,r 2 ,…,r n };
S225, multiplying each element according to rows and dividing by the power of n to obtain the geometric mean value of each element:
s226, calculating the characteristic vector and the characteristic value and carrying out consistency check, firstly b i Normalizing to obtain the characteristic vector W (W) corresponding to the maximum characteristic value 1 ,w 2 ,w 3 …w n ) WhereinS227, calculating the maximum characteristic value of the judgment matrixConsistency checkW is the characteristic vector value after the consistency test is satisfied a =(w 1 ,w 2 ,w 3 …w n )。
6. The fuzzy center-of-gravity based elevator safety comprehensive assessment method according to claim 1, wherein said step S2 is performed by determining a comprehensive weight based on subjective weight and objective weightThe body includes: the subjective weight and the objective weight are combined in a combination mode to obtain a comprehensive weight W ═ alpha W a +(1-α)W b Alpha is preference weight, alpha is more than or equal to 0 and less than or equal to 1, after consulting experts and consulting data, alpha is taken to be 0.4, W a Is a subjective weight, W b Is an objective weight.
7. The comprehensive elevator safety evaluation method based on the fuzzy center of gravity of claim 1, wherein the step S3 specifically comprises: establishing a fuzzy evaluation matrix represented by membership degrees between each evaluation index and each evaluation grade according to the evaluation conditionCalculating fuzzy barycenter G of each evaluation index, wherein if a domain U is a bounded measurable set in a real number domain, a membership function mu of a fuzzy set A on the U A (x) The center of gravity of (c) is defined as:wherein ^ mu A (x)dx≠0。
8. The comprehensive elevator safety evaluation method based on the fuzzy center of gravity of claim 1, wherein the step S4 specifically comprises: and the weight vector W is multiplied by the fuzzy gravity center vector G to obtain an evaluation result.
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CN115936506B (en) * | 2022-12-07 | 2023-11-24 | 国网江苏省电力有限公司电力科学研究院 | Wind-storage combined frequency modulation system evaluation method, device and medium based on FCE method |
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