CN115936317A - Suspension cable-stayed cooperative system scheme evaluation method and system - Google Patents

Suspension cable-stayed cooperative system scheme evaluation method and system Download PDF

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CN115936317A
CN115936317A CN202211710572.XA CN202211710572A CN115936317A CN 115936317 A CN115936317 A CN 115936317A CN 202211710572 A CN202211710572 A CN 202211710572A CN 115936317 A CN115936317 A CN 115936317A
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scheme
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杨则英
曲植霖
段蓉蓉
毕传龙
孙芮
王成赫
张平
王恩东
孟庆伟
李英勇
曲建波
单煜辉
房明
于先伟
刘杰
曲伟松
杨乾一
周广通
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Shandong University
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Abstract

The invention relates to the technical field of bridge scheme evaluation, and provides a suspension cable-stayed cable cooperative system scheme evaluation method and system, which comprise the following steps: for each criterion layer index, determining the subjective weight of each evaluation factor; for each criterion layer index, determining a standardized matrix according to the evaluation factor value, and calculating the objective weight of each evaluation factor by adopting an entropy method; for each criterion layer index, calculating to obtain the final weight of each evaluation factor by adopting a comprehensive weight method based on the subjective weight and the objective weight of each evaluation factor; for each criterion layer index, obtaining a weighted standardized decision matrix based on the comprehensive weight and the standardized matrix, determining an ideal solution and a negative ideal solution, and obtaining the relative closeness of each scheme and the ideal solution; and obtaining a closeness evaluation matrix according to the relative closeness of each scheme and the ideal solution in all the criteria layer indexes. The first part can conveniently and quickly know various aspects of the scheme and compare and score.

Description

Suspension cable-stayed cooperative system scheme evaluation method and system
Technical Field
The invention belongs to the technical field of bridge scheme evaluation, and particularly relates to a suspension cable-stayed cable cooperative system scheme evaluation method and system.
Background
The statements in this section merely provide background information related to the present disclosure and may not constitute prior art.
The suspension cable-stayed cooperative system bridge integrates the respective advantages of a suspension bridge and a cable-stayed bridge, and particularly can embody the superiority of the super-large span sea-crossing bridge engineering. With the continuous maturity of bridge design theory, the continuous promotion of people's demand, and the advantage of suspension cable-stayed cooperative system relative single suspension bridge, cable-stayed bridge, domestic and foreign people are also constantly exploring the bridge structure of bigger span in order to realize the sea-crossing engineering.
Therefore, the establishment of the multi-criterion rapid optimization method for the large-span suspension cable-stayed cooperative system bridge scheme is particularly important.
Disclosure of Invention
In order to solve the technical problems existing in the background technology, the invention provides a method and a system for evaluating a suspension cable-stayed cooperative system scheme, which fully utilize subjective and objective information, calculate the weight of each evaluation factor, and select a positive and negative ideal solution on the basis to obtain a proximity evaluation matrix, so that a first party can quickly know the comparison and the evaluation of each aspect of the scheme.
In order to achieve the purpose, the invention adopts the following technical scheme:
the invention provides a method for evaluating a suspension cable-stayed cable cooperative system scheme, which comprises the following steps:
obtaining evaluation factor values of a suspension cable-stayed cable cooperation system scheme to be evaluated under different criterion layer index indexes;
for each criterion layer index, determining the subjective weight of each evaluation factor;
for each criterion layer index, determining a standardized matrix according to the evaluation factor value, and calculating objective weight of each evaluation factor by adopting an entropy method based on the standardized matrix;
for each criterion layer index, calculating to obtain the final weight of each evaluation factor by adopting a comprehensive weight method based on the subjective weight and the objective weight of each evaluation factor;
for each criterion layer index, obtaining a weighted standardized decision matrix based on the comprehensive weight and the standardized matrix, determining an ideal solution and a negative ideal solution according to the weighted standardized decision matrix, and obtaining the relative closeness of each scheme and the ideal solution after calculating the distance between each scheme and the ideal solution and the negative ideal solution;
and obtaining a closeness evaluation matrix according to the relative closeness of each scheme and the ideal solution in all the criteria layer indexes.
Furthermore, for each criterion layer index, a weight judgment matrix is constructed, the feature vector corresponding to the maximum feature root is obtained, and the obtained feature vector is normalized to obtain the subjective weight of each evaluation factor.
Further, consistency check is carried out on the subjective weight of each evaluation factor, and if the consistency check fails, the elements in the weight judgment matrix are adjusted.
Further, an initial evaluation index matrix is established according to the evaluation factor values, and the trend of each evaluation factor is unified by adopting a range method to obtain a standardized matrix.
Further, the entropy of the jth evaluation factor is:
Figure BDA0004027256950000021
in the formula (I), the compound is shown in the specification,
Figure BDA0004027256950000022
x i j and m represents the total number of the suspension cable-stayed cooperative system scheme to be evaluated as the element of the ith row and the jth column in the standardized matrix.
Further, the weighted normalized decision matrix is:
Z=(z ij ) m×n
wherein z is ij =w j x i j ,w j Representing the final weight, x, of the j-th index i j The element in the ith row and the jth column of the normalized matrix.
Further, the ideal solution x and the negative ideal solution x - Respectively expressed as:
Figure BDA0004027256950000031
Figure BDA0004027256950000032
wherein the content of the first and second substances,
Figure BDA0004027256950000033
z ij the element of the ith row and the jth column in the weighted normalized decision matrix is n, which is the number of evaluation factors.
The second aspect of the present invention provides a system for evaluating a suspension cable-stayed cooperative system scheme, comprising:
a data acquisition module configured to: obtaining evaluation factor values of a suspension cable-stayed cable cooperation system scheme to be evaluated under different criteria layer indexes;
a subjective weight determination module configured to: for each criterion layer index, determining the subjective weight of each evaluation factor;
an objective weight calculation module configured to: for each criterion layer index, determining a standardized matrix according to the evaluation factor value, and calculating objective weight of each evaluation factor by adopting an entropy method based on the standardized matrix;
a final weight calculation module configured to: for each criterion layer index, calculating to obtain the final weight of each evaluation factor by adopting a comprehensive weight method based on the subjective weight and the objective weight of each evaluation factor;
a closeness calculation module configured to: for each criterion layer index, obtaining a weighted standardized decision matrix based on the comprehensive weight and the standardized matrix, determining an ideal solution and a negative ideal solution according to the weighted standardized decision matrix, and obtaining the relative closeness of each scheme and the ideal solution after calculating the distance between each scheme and the ideal solution and the negative ideal solution;
a decision matrix determination module configured to: and obtaining a closeness evaluation matrix according to the relative closeness of each scheme and the ideal solution in all the criteria layer indexes.
A third aspect of the present invention provides a computer-readable storage medium, on which a computer program is stored, which, when executed by a processor, implements the steps in the method for evaluating a suspension-cable-stay coordination system scenario as described above.
A fourth aspect of the present invention provides a computer device, including a memory, a processor, and a computer program stored in the memory and executable on the processor, where the processor executes the computer program to implement the steps in the method for evaluating a suspension-cable-stayed cooperative system scheme as described above.
Compared with the prior art, the invention has the beneficial effects that:
the invention provides a suspension cable-stayed cooperative system scheme evaluation method, which fully utilizes subjective and objective information to achieve subjective and objective consistency, calculates the weight of each evaluation factor by adopting a comprehensive weight method, and selects a positive and negative ideal solution on the basis to obtain a closeness evaluation matrix, thereby facilitating a first party to quickly know the comparison and scoring of all aspects of a scheme.
The invention provides a suspension cable-stayed cable cooperative system scheme evaluation method, which uses comprehensive weight for a TOPSIS method to further improve the reliability; the coverage and depth of scheme evaluation can be adjusted according to requirements, and the requirements of the first party are flexibly met.
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The accompanying drawings, which are incorporated in and constitute a part of this specification, are included to provide a further understanding of the invention, and are included to illustrate an exemplary embodiment of the invention and not to limit the invention.
Fig. 1 is a flowchart of a solution evaluation method for a suspension cable-stayed cable cooperation system according to an embodiment of the present invention.
Detailed Description
The invention is further described with reference to the following figures and examples.
It is to be understood that the following detailed description is exemplary and is intended to provide further explanation of the invention as claimed. Unless defined otherwise, all technical and scientific terms used herein have the same meaning as commonly understood by one of ordinary skill in the art to which this invention belongs.
Example one
The embodiment provides a method for evaluating a suspension cable-stayed cable cooperation system scheme, which comprises the following steps of:
step 1, obtaining evaluation factor values of a suspension cable-stayed cable cooperation system scheme to be evaluated under different criteria layer indexes.
Specifically, as shown in table 1, the evaluation criterion layer indexes and the multi-level index layers are selected according to the requirements, the endmost initial index layer can be selected under continuous treeing, and only one level of index layer is selected in this embodiment.
Criteria layer metrics include: wind resistance, earthquake resistance, scouring resistance, collision resistance, construction and economy.
The wind resistance evaluation factors include: member stiffness, sag ratio;
evaluation factors of earthquake resistance include: passive damping control, active damping control, semi-active damping control, and hybrid damping control;
evaluation factors for scour resistance include: water flow speed, scouring depth and bridge scouring protection;
the evaluation factors of the crashworthiness include: failure probability and anti-collision measures;
the evaluation factors of the construction include: construction method, degree of labor, construction speed and noise;
economic evaluation factors include: materials, manual, mechanical, and decoration.
TABLE 1, evaluation criteria layer and Multi-level index layer
Figure BDA0004027256950000051
/>
Figure BDA0004027256950000061
Step2, for each criterion layer index, constructing each level of index weight judgment matrix according to an Analytic Hierarchy Process (AHP), solving a feature vector A corresponding to the maximum feature root of the index weight judgment matrix, and normalizing the solved feature vector to obtain the subjective weight alpha of each evaluation factor; and finally, carrying out consistency check on the subjective weight of the index, and judging whether the obtained weight distribution is reasonable or not. And judging and scoring the importance among different indexes of the first-level index layer by an expert to finally obtain the weight judgment matrix.
Step 201, constructing an index weight judgment matrix. (i, j =1,2,. Multidot., n) represents an evaluation factor, and n represents the total number of evaluation factors in a certain rule layer index. u. of ij The relative importance value of the evaluation factor i to the evaluation factor j is shown. The index weight determination matrix P is composed of:
Figure BDA0004027256950000071
/>
step 202, calculating importance ranking. And according to the judgment matrix, solving a feature vector A corresponding to the maximum feature root:
PA=λ max A
wherein λ is max Representing the maximum eigenvalue corresponding to matrix P.
The obtained characteristic vector A is normalized to be the weight alpha of each evaluation factor j
Step 203, consistency check. Whether the obtained weight distribution is reasonable or not needs to be checked for consistency of the weight judgment matrix. The test formula is as follows:
CR=CI/RI
in the formula, CR is the random consistency ratio of the judgment matrix; CI is a consistency index of the judgment matrix and is given by the following formula:
CI=(λ max -n)/(n-1)
where n represents the total number of evaluation factors in a criterion layer index.
RI is the average random consistency index of the decision matrix, and RI values of 1-9 order decision matrices are shown in Table 2.
TABLE 2 average random consistency index RI values
n 1 2 3 4 5 6 7 8 9
RI 0 0 0.58 0.9 1.12 1.24 1.32 1.41 1.45
When CR of the matrix P is judged to be less than 0.1 or lambda Max If n, CI =0, P is said to haveSatisfactory consistency, otherwise the elements in P need to be adjusted to have satisfactory consistency.
Taking the indexes of the construction criterion layer as an example:
and constructing a construction index weight judgment matrix. The P index weight judgment matrix consists of:
Figure BDA0004027256950000081
and according to the judgment matrix, obtaining the eigenvector A corresponding to the maximum characteristic root. The equation is as follows:
PA=λ max A
the obtained characteristic vector A is normalized to be the subjective weight alpha of each evaluation factor:
α=(0.295 0.0583 0.099 0.547)
whether the obtained weight distribution is reasonable or not also needs to carry out consistency check on the weight judgment matrix.
By calculation, the results of the consistency check were passed and the results of the consistency check are summarized in table 3.
TABLE 3 summary of the results of the consistency checks
Root of maximum feature CI value RI value CR value Consistency test results
4.119 0.04 0.89 0.045 By passing
Step 3, establishing an initial evaluation index matrix B of each level of index for each criterion layer index 1 And unifying the trend of each index by adopting a range method to obtain a standardized evaluation matrix B.
Step 301, establishing an initial evaluation index matrix.
m is the total number of the suspension cable-stayed cable cooperative system scheme to be evaluated, and n is the number of the standards (evaluation factors), the initial evaluation index matrix is as follows:
Figure BDA0004027256950000091
in the formula, x ij The value of the jth criterion representing the ith alternative.
And step 302, unifying the trend of each index (evaluation factor) by adopting a range method.
For the growth index (larger is better):
Figure BDA0004027256950000092
wherein x is j The j-th column in the initial evaluation index matrix is shown.
For the attenuation index (smaller is better):
Figure BDA0004027256950000093
thereby obtaining a normalized matrix B = (x) i j ) mn
Taking the indexes of the construction criterion layer as an example:
establishing a construction initial evaluation index matrix: in the three schemes and four indexes, the construction initial evaluation index matrix is as follows:
Figure BDA0004027256950000094
and unifying the trend of each index by adopting a range method so as to obtain a standardized matrix:
Figure BDA0004027256950000095
and 4, calculating the index objective weight beta of each criterion layer index by adopting an entropy method based on the standardized matrix.
Step 401, calculating the entropy of the jth evaluation factor:
Figure BDA0004027256950000096
in the formula (I), the compound is shown in the specification,
Figure BDA0004027256950000101
and assume when r ij When =0, r ij lnr ij =0。
Step 402, calculating a weight vector for each criterion (evaluation factor):
Figure BDA0004027256950000102
finally obtaining the objective weight beta of the jth evaluation factor j
β j =(w j ) 1j
Wherein (C) 1j Representing a matrix of rows and columns.
The entropy weight method is adopted to calculate the objective weight, so that the influence of subjective factors can be effectively eliminated.
Taking the indexes of the construction criterion layer as an example:
the objective weights calculated are as follows:
β=(0.2680.2310.2310.268)
and 5, for each criterion layer index, uniformly and comprehensively considering the weights obtained by the AHP method and the entropy method by adopting a comprehensive weight method to obtain the final weight W of each level of index.
In order to take subjective and objective needs into consideration, and make full use of subjective and objective information to achieve subjective and objective consistency, a comprehensive weight method is adopted to calculate the final weight:
W=[(μα 1 +(1-μ)β 1 ,μα 2 +(1-μ)β 2 ,...,μα m +(1-μ)β m )] T
=(w j ) 1×n
wherein, 0< mu <1 is a preference coefficient which reflects the preference degree of the analyst for the subjective weight and the objective weight.
Taking the indexes of the construction criterion layer as an example:
the preference coefficient is 0.5, and the final weight W of the construction index is calculated by adopting a comprehensive weight method:
W=(0.2820.1450.1650.407)
step 6, constructing a weighted normalized decision matrix Z = (Z) for each criterion layer index ij ) m×n And determining a positive ideal solution and a negative ideal solution according to the weighted standardized decision matrix of each level. Calculating Euclidean distance V between the upper-level index of each scheme and the corresponding ideal solution and negative ideal solution i * And V i -
Step 601, constructing a weighted normalized decision matrix Z = (Z) ij ) m×n . Wherein:
Figure BDA0004027256950000111
step 602, determining an ideal solution x and a negative ideal solution x according to the weighted normalized decision matrix - I.e. the most desirable and the least desirable.
Figure BDA0004027256950000112
Figure BDA0004027256950000113
Wherein x is * And x - Representing the most preferred solution (ideal solution) and the least preferred solution (negative ideal solution), respectively:
Figure BDA0004027256950000115
Figure BDA0004027256950000116
step 603, calculating Euclidean distances V between each scheme and the ideal solution and between each scheme and the negative ideal solution i * And V i -
Figure BDA0004027256950000117
Figure BDA0004027256950000118
Wherein z is i =(z i1 ,i2,..., ij ) Is compared with scheme x i Corresponding weighted normalized decision matrix Z = (Z) ij ) m×n Row i of (2).
Taking the indexes of the construction criterion layer as an example:
constructing a weighted normalized decision matrix:
Figure BDA0004027256950000121
according to the initial evaluation index matrix of the construction, determining an ideal solution x and a negative ideal solution x, namely an optimal scheme and a least optimal scheme:
x * =(0.282,0.145,0.165,0.407)
x - =(0.089,0.0725,0.0825,0.136)
calculating Euclidean distance V between each scheme and ideal solution and negative ideal solution respectively i * And V i -
V * =(0.465 0.206 0.215) T
V - =(0.141 0.283 0.246) T
And 7, calculating the relative closeness C' of each scheme of the same-level index and an ideal solution for the q index (the q index of the criterion layer) under the same index layer (the target layer, the criterion layer, the primary index layer and the secondary index layer). i
Figure BDA0004027256950000122
In the formula (I), the compound is shown in the specification,
Figure BDA0004027256950000124
the value of (d) is used to represent the relative closeness of the solution to the ideal solution. Obviously if x i =x * Then->
Figure BDA0004027256950000125
If x i =x - And then C' i And =0. When +>
Figure BDA0004027256950000123
Scheme x i Closer and closer to x * 。/>
Figure BDA0004027256950000126
The larger the value of (A) is, the better the index condition is. And the closeness obtained by the secondary index is a numerical value corresponding to the initial evaluation index matrix of the previous stage, a subjective weight judgment matrix of the index of the previous stage is introduced, step2-7 is repeated, and the closeness of the index of the previous stage and the ideal solution is calculated. Repeating the steps until the closeness degree of each scheme target layer is calculated>
Figure BDA0004027256950000129
And judging whether the scheme is good or bad according to the proximity. Therefore, the grade of the evaluation parameter index can be continuously refined through treeing according to the requirement.
Taking the indexes of the construction criterion layer as an example: by calculation
Figure BDA0004027256950000127
Figure BDA0004027256950000128
And 8, establishing data statistics software and proximity matrix calculation software by using Python according to step2-7, establishing data link of the two software, exporting data through statistical software of designers, importing the proximity matrix calculation software of scheme selection personnel, finally obtaining a proximity judgment matrix, and outputting the matrix as a final proximity table shown in a table 4.
TABLE 4 Final closeness Table
Figure BDA0004027256950000131
And 9, the scheme selecting personnel can firstly know the overall scores of all the schemes according to the final pasting progress table and secondly select the deviation aspect according to the index closeness and self-requirements of all the criterion layers. The method shows the straight white, is convenient for the first party to quickly know all aspects of the scheme and compare and grade, and can quickly and simply select the scheme of the suspension cable stayed-cable system according to self needs.
Example two
The embodiment provides a system for evaluating a suspension cable-stayed cooperative system scheme, which specifically includes:
a data acquisition module configured to: obtaining evaluation factor values of a suspension cable-stayed cable cooperation system scheme to be evaluated under different criteria layer indexes;
a subjective weight determination module configured to: for each criterion layer index, determining the subjective weight of each evaluation factor;
an objective weight calculation module configured to: for each criterion layer index, determining a standardized matrix according to the evaluation factor value, and calculating objective weight of each evaluation factor by adopting an entropy method based on the standardized matrix;
a final weight calculation module configured to: for each criterion layer index, calculating to obtain the final weight of each evaluation factor by adopting a comprehensive weight method based on the subjective weight and the objective weight of each evaluation factor;
a proximity calculation module configured to: for each criterion layer index, obtaining a weighted standardized decision matrix based on the comprehensive weight and the standardized matrix, determining an ideal solution and a negative ideal solution according to the weighted standardized decision matrix, and obtaining the relative closeness of each scheme and the ideal solution after calculating the distance between each scheme and the ideal solution and the distance between each scheme and the negative ideal solution;
a decision matrix determination module configured to: and obtaining a closeness evaluation matrix according to the relative closeness of each scheme and the ideal solution in all the criteria layer indexes.
It should be noted that, each module in the present embodiment corresponds to each step in the first embodiment one to one, and the specific implementation process is the same, which is not described again here.
EXAMPLE III
The present embodiment provides a computer-readable storage medium, on which a computer program is stored, where the computer program, when executed by a processor, implements the steps in the evaluation method of the suspension cable-stayed coordination system scheme as described in the first embodiment.
Example four
The embodiment provides a computer device, which includes a memory, a processor, and a computer program stored in the memory and executable on the processor, where the processor executes the computer program to implement the steps in the method for evaluating a suspension cable-stayed cooperative system scheme according to the first embodiment.
As will be appreciated by one skilled in the art, embodiments of the present invention may be provided as a method, system, or computer program product. Accordingly, the present invention may take the form of a hardware embodiment, a software embodiment, or an embodiment combining software and hardware aspects. Furthermore, the present invention may take the form of a computer program product embodied on one or more computer-usable storage media (including, but not limited to, disk storage, optical storage, and the like) having computer-usable program code embodied therein.
The present invention has been described with reference to flowchart illustrations and/or block diagrams of methods, apparatus (systems), and computer program products according to embodiments of the invention. It will be understood that each flow and/or block of the flow diagrams and/or block diagrams, and combinations of flows and/or blocks in the flow diagrams and/or block diagrams, can be implemented by computer program instructions. These computer program instructions may be provided to a processor of a general purpose computer, special purpose computer, embedded processor, or other programmable data processing apparatus to produce a machine, such that the instructions, which execute via the processor of the computer or other programmable data processing apparatus, create means for implementing the functions specified in the flowchart flow or flows and/or block diagram block or blocks.
These computer program instructions may also be stored in a computer-readable memory that can direct a computer or other programmable data processing apparatus to function in a particular manner, such that the instructions stored in the computer-readable memory produce an article of manufacture including instruction means which implement the function specified in the flowchart flow or flows and/or block diagram block or blocks.
These computer program instructions may also be loaded onto a computer or other programmable data processing apparatus to cause a series of operational steps to be performed on the computer or other programmable apparatus to produce a computer implemented process such that the instructions which execute on the computer or other programmable apparatus provide steps for implementing the functions specified in the flowchart flow or flows and/or block diagram block or blocks.
It will be understood by those skilled in the art that all or part of the processes of the methods of the embodiments described above can be implemented by a computer program, which can be stored in a computer-readable storage medium, and when executed, can include the processes of the embodiments of the methods described above. The storage medium may be a magnetic disk, an optical disk, a Read-Only Memory (ROM), a Random Access Memory (RAM), or the like.
The above description is only a preferred embodiment of the present invention and is not intended to limit the present invention, and various modifications and changes may be made by those skilled in the art. Any modification, equivalent replacement, or improvement made within the spirit and principle of the present invention should be included in the protection scope of the present invention.

Claims (10)

1. A method for evaluating a suspension cable-stayed cooperative system scheme is characterized by comprising the following steps:
obtaining evaluation factor values of a suspension cable-stayed cable cooperation system scheme to be evaluated under different criteria layer indexes;
for each criterion layer index, determining the subjective weight of each evaluation factor;
for each criterion layer index, determining a standardized matrix according to the evaluation factor value, and calculating objective weight of each evaluation factor by adopting an entropy method based on the standardized matrix;
for each criterion layer index, calculating to obtain the final weight of each evaluation factor by adopting a comprehensive weight method based on the subjective weight and the objective weight of each evaluation factor;
for each criterion layer index, obtaining a weighted standardized decision matrix based on the comprehensive weight and the standardized matrix, determining an ideal solution and a negative ideal solution according to the weighted standardized decision matrix, and obtaining the relative closeness of each scheme and the ideal solution after calculating the distance between each scheme and the ideal solution and the distance between each scheme and the negative ideal solution;
and obtaining a closeness evaluation matrix according to the relative closeness of each scheme and the ideal solution in all the criteria layer indexes.
2. The method for evaluating a suspension cable-stayed cooperative system scheme as claimed in claim 1, wherein for each criterion layer index, a weight judgment matrix is constructed, the eigenvector corresponding to the largest characteristic root is obtained, and the obtained eigenvector is normalized to obtain the subjective weight of each evaluation factor.
3. The method for evaluating a suspension cable-stayed cooperative system scheme as claimed in claim 2, wherein the subjective weights of the evaluation factors are subjected to consistency check, and if the consistency check fails, the elements in the weight judgment matrix are adjusted.
4. The evaluation method of the suspension cable-stayed cooperative system scheme as claimed in claim 1, wherein an initial evaluation index matrix is established according to evaluation factor values, and the trend of each evaluation factor is unified by adopting a range method to obtain a standardized matrix.
5. The method for evaluating a suspension cable-stayed cooperative system scheme as claimed in claim 1, wherein the entropy of the jth evaluation factor is:
Figure FDA0004027256940000021
in the formula (I), the compound is shown in the specification,
Figure FDA0004027256940000022
x i j and m represents the total number of the suspension cable-stayed cooperative system scheme to be evaluated as the element of the ith row and the jth column in the standardized matrix.
6. The method for evaluating a suspension cable-stayed cooperative system scheme as claimed in claim 1, wherein the weighted standardized decision matrix is:
Z=(z ij ) m×n
wherein z is ijj x i j ,w j Representing the final weight, x, of the j-th index i j Is the element in the ith row and jth column of the normalized matrix.
7. The method for evaluating a suspension cable-stayed cooperative system scheme as claimed in claim 1, wherein the ideal solution x and the negative ideal solution x - Respectively expressed as:
Figure FDA0004027256940000023
Figure FDA0004027256940000024
wherein the content of the first and second substances,
Figure FDA0004027256940000025
z ij the element of the ith row and the jth column in the weighted normalized decision matrix is n, which is the number of evaluation factors. />
8. A system for evaluating a scheme of a suspension cable-stayed cooperative system is characterized by comprising the following components:
a data acquisition module configured to: obtaining evaluation factor values of a suspension cable-stayed cable cooperation system scheme to be evaluated under different criteria layer indexes;
a subjective weight determination module configured to: for each criterion layer index, determining the subjective weight of each evaluation factor;
an objective weight calculation module configured to: for each criterion layer index, determining a standardized matrix according to the evaluation factor value, and calculating objective weight of each evaluation factor by adopting an entropy method based on the standardized matrix;
a final weight calculation module configured to: for each criterion layer index, calculating to obtain the final weight of each evaluation factor by adopting a comprehensive weight method based on the subjective weight and the objective weight of each evaluation factor;
a closeness calculation module configured to: for each criterion layer index, obtaining a weighted standardized decision matrix based on the comprehensive weight and the standardized matrix, determining an ideal solution and a negative ideal solution according to the weighted standardized decision matrix, and obtaining the relative closeness of each scheme and the ideal solution after calculating the distance between each scheme and the ideal solution and the negative ideal solution;
a decision matrix determination module configured to: and obtaining a closeness evaluation matrix according to the relative closeness of each scheme and the ideal solution in all the criteria layer indexes.
9. A computer-readable storage medium, on which a computer program is stored, which, when being executed by a processor, carries out the steps of a method for evaluating a suspension-cable-stay collaborative system scenario according to any one of claims 1-7.
10. A computer device comprising a memory, a processor and a computer program stored on the memory and executable on the processor, wherein the processor implements the steps of the method for evaluating a suspension-cable-stay coordination scheme according to any one of claims 1 to 7 when executing the program.
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CN116681204A (en) * 2023-05-17 2023-09-01 湖北交投智能检测股份有限公司 Expressway bridge evaluation method and device based on multiple indexes and storage medium

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