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CN-122022581-A - Old building structure safety toughness assessment method and system based on game theory combined weighting

CN122022581ACN 122022581 ACN122022581 ACN 122022581ACN-122022581-A

Abstract

The invention relates to a method and a system for evaluating the safety toughness of an old building structure based on game theory combined weighting, wherein the method comprises the steps of constructing a multi-layer index system of the safety toughness of the old building structure, calculating independent weights of each safety toughness index in the multi-layer index system of the safety toughness and associated weights among the safety toughness indexes, acquiring optimal combination coefficients based on the independent weights and the associated weights, calculating comprehensive weights based on the optimal combination coefficients, the independent weights and the associated weights, calculating cloud digital characteristic parameters of corresponding safety toughness indexes, calculating comprehensive cloud parameters based on the comprehensive weights and the cloud digital characteristic parameters, generating a safety toughness cloud chart based on the comprehensive cloud parameters, constructing a safety toughness standard cloud chart, comparing the safety toughness cloud chart with the safety toughness standard cloud chart, and determining the safety toughness grade of the old building. Compared with the prior art, the method comprehensively considers the coupling relation among the external environment, the management system, the early warning mechanism and all levels of evaluation indexes, and realizes more accurate safety toughness evaluation.

Inventors

  • LI WEI
  • Chen Zirou

Assignees

  • 上海应用技术大学

Dates

Publication Date
20260512
Application Date
20260130

Claims (10)

  1. 1. The method for evaluating the safety toughness of the old building structure based on game theory combined weighting is characterized by comprising the following steps of: constructing a safety toughness multi-layer index system of an old building structure, and calculating independent weights of each safety toughness index in the safety toughness multi-layer index system and associated weights among the safety toughness indexes, wherein the safety toughness multi-layer index system comprises a first level index and a second level index; performing linear combination on the independent weights and the associated weights by using a game theory and taking the minimized weight deviation as an objective function to obtain an optimal combination coefficient, and calculating the comprehensive weight of each safety toughness index based on the optimal combination coefficient, the independent weights and the associated weights; Acquiring a plurality of scores of each safety toughness index, calculating cloud digital characteristic parameters of the corresponding safety toughness index based on the scores, calculating comprehensive cloud parameters based on the comprehensive weights and the cloud digital characteristic parameters, and generating a safety toughness cloud chart based on the comprehensive cloud parameters, wherein the cloud digital characteristic parameters comprise expectations, entropies and super entropies; And (3) constructing a safety toughness standard cloud picture, and comparing the safety toughness cloud picture with the safety toughness standard cloud picture to determine the safety toughness grade of the old building.
  2. 2. The method for evaluating the safety toughness of the old building structure based on the game theory combined weighting of claim 1, wherein the first level indexes comprise a robustness index, a redundancy index, an efficiency index and an adaptability index; The second-level index is a sub-index of the first-level index, wherein the robustness index comprises the service life of a building, the construction quality and design level, the cracking and deformation degree of a building bearing member, the environmental influence, the illegal reconstruction, expansion and maintenance and improper use, the redundancy index comprises the management system construction, the prevention and response capability, the emergency management comprehensive platform and the dangerous-room archive, the efficiency index comprises the maintenance reinforcement reconstruction capability, the establishment of each-level linkage treatment system and the establishment of an emergency plan, and the adaptability index comprises the support guarantee investment, the citizen safety awareness, the emergency training and exercise and the house emergency work assessment.
  3. 3. The method for evaluating the safety toughness of the old building structure based on game theory combined weighting according to claim 1, wherein the method for acquiring the independent weighting is as follows: acquiring the importance degree of each safety toughness index, sequencing the first level indexes based on the importance degree, sequencing the second level indexes based on the importance degree, and establishing a sequence relation; Under the sequence relation, calculating the importance ratio of adjacent safety toughness indexes based on the importance; and calculating the independent weight of each safety toughness index in each second level index based on the importance ratio.
  4. 4. The method for evaluating the safety toughness of the old building structure based on the game theory combined weighting according to claim 3, wherein the method for calculating the independent weights based on the importance ratio is as follows: , , Wherein, the N represents the total number of the safety toughness indexes of the second level; the importance ratio of the kth safety toughness index compared with the kth-1 safety toughness index is shown, and: , indicating the importance of the kth safety toughness index.
  5. 5. The method for evaluating the safety toughness of the old building structure based on game theory combined weighting according to claim 1, wherein the method for acquiring the association weight is as follows: Constructing an influence relation matrix of the safety toughness index, normalizing to obtain a direct influence relation matrix, and obtaining a comprehensive influence matrix based on the direct influence relation matrix; calculating influence degree and influenced degree of each safety toughness index based on the comprehensive influence matrix, and calculating centrality based on the influence degree and the influenced degree; and normalizing the centrality to obtain the associated weight of the corresponding safety toughness index.
  6. 6. The method for evaluating the safety toughness of the old building structure based on game theory combined weighting according to claim 5, wherein the method for calculating the influence degree and the affected degree is as follows: , , , Wherein, the Indicating the influence of the ith safety toughness index; indicating the affected degree of the ith safety toughness index; to a comprehensive influence matrix The element in (2) represents the influence degree of the ith safety toughness index on the jth safety toughness index, and: , Representing a constant; representing the identity matrix; representing a direct influence relationship matrix, and: , Representing the association relation between the ith safety toughness index and the jth safety toughness index for influencing the elements in the relation matrix; representing the total number of the second-level safety toughness indexes; representing the influence relation matrix.
  7. 7. The method for evaluating the safety toughness of the old building structure based on game theory combined weighting according to claim 1, wherein the method for obtaining the optimal combination coefficient is as follows: The construction objective function is as follows: , Linear combination coefficients representing the kth weighting method; represents the basic weight vector set corresponding to the kth weighting method, and , Representing the basis weight of the ith security toughness vector in the kth weighting method, Representing a transpose; Representing the total number of weighting methods; Based on the objective function, the linear combination coefficients corresponding to different weighting methods are optimized by using a game theory principle, and the output optimal combination coefficients are as follows: , An optimal linear combination coefficient representing the kth weighting method, and: 。
  8. 8. The method for evaluating the safety toughness of the old building structure based on game theory combined weighting according to claim 1, wherein the method for calculating the cloud digital characteristic parameters is as follows: the expectation is the arithmetic mean of the scores; the entropy is calculated based on the expected value and the score value, and is: , entropy representing the ith safety toughness index; Representing the total number of scores of the ith safety toughness index; A qth score representing i safety toughness indicators; indicating the desire for the ith safety toughness indicator; the super entropy is obtained by calculation based on the variance and entropy of the score, and is: , representing the variance of the ith safety toughness index score.
  9. 9. The method for evaluating the safety toughness of the old building structure based on game theory combined weighting according to claim 1, wherein the method for calculating the comprehensive cloud parameters is as follows: , , , Wherein, the Representing expectations in the comprehensive cloud parameters; entropy representing the ith safety toughness index; indicating the desire for the ith safety toughness indicator; comprehensive weight representing the ith safety toughness index; Representing entropy in the comprehensive cloud parameters; representing the super entropy in the comprehensive cloud parameters; and (5) the super entropy of the ith safety toughness index.
  10. 10. An old building structure safety toughness assessment system based on game theory combined weighting, which is characterized in that the system is used for realizing the method as claimed in any one of claims 1-9.

Description

Old building structure safety toughness assessment method and system based on game theory combined weighting Technical Field The invention relates to the field of building structure safety management and risk assessment, in particular to a method and a system for evaluating the safety toughness of an old building structure based on game theory combined weighting. Background With the continuous promotion of the urban process in China, old buildings in towns and self-built houses of residents gradually enter an aging stage. According to the seventh population census data, the urban building area with the service life of China exceeding 50 years is about 3993.29 ten thousand m <2 >. It is expected that around 2040 years ago, approximately 80% of the houses will become "old cells". In the context of frequent house collapse events and continuous increase of the stock of old and old buildings, how to effectively evaluate and improve the toughness of the old and old buildings has become an important topic in urban security management. Structural safety toughness refers to the integrated ability of a building structure to achieve "resistance-adaptation-recovery" through its own design, structure, system and management mechanisms when faced with various potential risks. The traditional structural design is based on reliability, aims to ensure that the structure is not damaged under the design load, and ensures the lower limit of safety, and the structural safety toughness is the expansion and sublimation of the structural reliability, and is not only embodied as the capability of resisting risks of a system, but also emphasizes the comprehensive development strategy of coping with the risks in a complex environment, and aims to pursue the comprehensive disaster prevention capability of a higher level. At present, in the aspect of constructing a toughness evaluation index system, the existing research focuses on subsystem components of an evaluation main body, such as infrastructure, environment, personnel and the like, and mainly adopts quantitative analysis methods, such as an analytic hierarchy process, an entropy weight process, an optimized sequence priority process, a CRITIC process and the like, specifically, such as a Chinese patent application CN120450531A, the method provides an old building health evaluation method based on the optimized sequence priority process, the importance ranking of the first-level index is adjusted through the pearson correlation coefficient on the basis of the traditional sequence priority process, the index weight distribution of the traditional sequence priority process is optimized, the scientific and accurate evaluation can be improved, but the structural safety toughness evaluation of the old building is required to pay attention to the main body structure, the factors, such as external environment, management, early warning mechanism and the like are also required to be comprehensively considered, the problems of serious structural damage, more illegal reconstruction, insufficient maintenance management and the like of the old building are also required to be considered, the response capability, bearing capability and the large-scale adaptability in sudden events and the relative performance in the traditional sequence priority process are also required to be considered, the relevance ranking is only ignored, and the relevance ranking between the first-level index is not guaranteed, but the relevant indexes are not guaranteed, and the relevant relevance ranking is only is ignored. Therefore, the safety toughness assessment method capable of comprehensively considering the external environment, the management system, the early warning mechanism and the coupling relation among all levels of evaluation indexes is a technical problem to be solved. Disclosure of Invention The invention aims to overcome the defects of the prior art and provide a method and a system for evaluating the safety toughness of an old building structure based on game theory combined weighting. The aim of the invention can be achieved by the following technical scheme: According to a first aspect of the invention, there is provided a method for evaluating the safety toughness of old building structures based on game theory combined weighting, the method comprising: constructing a safety toughness multi-layer index system of an old building structure, and calculating independent weights of each safety toughness index in the safety toughness multi-layer index system and associated weights among the safety toughness indexes, wherein the safety toughness multi-layer index system comprises a first level index and a second level index; performing linear combination on the independent weights and the associated weights by using a game theory and taking the minimized weight deviation as an objective function to obtain an optimal combination coefficient, and calculating the comprehensive weight of each safety tough