Abstract
In order to solve the problem on optimal selection of old bridge reinforcement schemes, a decision-making method of gray relation analysis based on fuzzy-AHP weights is proposed. Firstly, the fuzzy-AHP is used to develop the decision index system of old bridge reinforcement schemes and determine the weight of decision indexes. The 0.1–0.9 scale method is introduced as the index judgment criterion, and the weight judgment matrix is established. Through the consistency test, the relative weight vector of each decision index in the index layer is calculated. Secondly, according to the gray relation model of the old bridge reinforcement schemes, the decision matrix is constructed, and the gray relation coefficient matrix is calculated to obtain the gray relation coefficient corresponding to the ideal optimal scheme. Finally, the optimal scheme is determined. Through an engineering example, the reinforcement scheme of a concrete-filled steel tube arch bridge deck system is calculated and analyzed, and the best reinforcement scheme is selected. The optimal selection result is consistent with the actual reinforcement scheme available for the bridge. The decision-making method of gray relation analysis based on fuzzy-AHP weights make the evaluation system more organized and systematic and the index weight more operable and quantitative, reduce the subjective evaluation impact, and make the evaluation result more objective and reliable. Considering the fuzzy and gray information of comparison and selection, the optimal scheme with high feasibility and applicability is selected by the gray relation method.
Highlights
With the operation of in-service bridges, due to the increase of traffic volume and vehicle load, the influence of unfavorable factors in the surrounding environment, and the natural aging of materials, the bridge structure is faced with performance degradation during its life cycle, resulting in the weakening of its function
Ese methods comprehensively consider the bearing capacity, durability, impact of traffic interruption, economic rationality of reinforcement cost, and complexity of reinforcement technology. e determination of the reinforcement scheme is the key to the success of the reconstruction and reinforcement, especially the feasibility, reliability, and economy of the reinforcement scheme. e optimal selection process of the old bridge reinforcement scheme is a multiobjective decision-making process. e multiobjective decision-making is characterized by the conflicting objectives, inconsistent objective dimensions, and adjustable “optimal solution,” making the decisionmaking process more complicated [1]
Dagdeviren and Yuksel developed the evaluation index system of bridge reinforcement schemes based on the analytic hierarchy process (AHP) and performed the optimal selection analysis [2]
Summary
With the operation of in-service bridges, due to the increase of traffic volume and vehicle load, the influence of unfavorable factors in the surrounding environment, and the natural aging of materials, the bridge structure is faced with performance degradation during its life cycle, resulting in the weakening of its function. Kalemci et al used the combined weight method to establish a simplified gray wolf optimization algorithm method model for the optimal selection of bridge reinforcement schemes [7] For this reason, according to the characteristics of the old bridge reinforcement scheme evaluation, this paper organically combines the fuzzy theory [8,9,10,11] with AHP, proposes a method to determine the index weight, and adopts the gray relation method [12] to realize the comprehensive evaluation of each reinforcement alternative and the selection of optimal scheme, making the optimal selection process more simple, objective, reasonable, and reliable. In order to solve the problem on optimal selection of old bridge reinforcement schemes, a decision-making method of gray relation analysis based on fuzzy-AHP weights is proposed
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