Solving the Multiobjective Transportation Decision-Making Problem Based on Improved S-Type Membership Function | Zendy

Ziquan Xiang | Zendy; Jiaqi Yang | Zendy; Muhammad Hamza Naseem | Zendy; Zuquan Xiang | Zendy

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Solving the Multiobjective Transportation Decision-Making Problem Based on Improved S-Type Membership Function

Author(s) -

Ziquan Xiang,

Jiaqi Yang,

Muhammad Hamza Naseem,

Zuquan Xiang

Publication year - 2021

Publication title -

journal of mathematics

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.252

H-Index - 13

eISSN - 2314-4785

pISSN - 2314-4629

DOI - 10.1155/2021/4169352

Subject(s) - compromise , mathematical optimization , flexibility (engineering) , fuzzy logic , mathematics , membership function , function (biology) , multi objective optimization , range (aeronautics) , interval (graph theory) , goal programming , fuzzy set , computer science , artificial intelligence , engineering , statistics , social science , combinatorics , evolutionary biology , sociology , aerospace engineering , biology

Aiming at the problem of multiobjective transportation decision-making, a fuzzy compromise method with an improved S-type membership function is proposed. This method not only considers a single objective and evaluates it marginally but also evaluates the overall objective as a whole. First of all, a multiobjective transportation decision-making model is established. Then, each objective function is mapped to a function on the interval [0,1] through the S-type membership function, thereby transforming the multiobjective transportation linear programming model into a multiobjective transportation fuzzy compromise programming model, and its satisfaction is expressed by the global utility function. Finally, through two examples, the results of the example algorithm are compared with the results in the literature, highlighting the superiority of the method. The experimental results show that in the multiobjective transportation decision-making problem, the fuzzy compromise method of the S-type membership function has better flexibility and effectiveness.

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