On Multi-Objective Multi-Item Solid Transportation Problem in Fuzzy Environment

This paper discusses the reliability of multi-objective multi-item solid transport (F-MOMIST) problem with the transportation of penalties represented by the trapezoidal fuzzy numbers. We extended the existing F-MOMIST by introducing the fuzzy efficient concept and fuzzy crisp. We propose a weighting Tchebycheff approach to efficiently solve F-MOMIST. In the proposed approach, we first describe the first type of stability set corresponding to the optimal α-Pareto solution and then use the proposed approach to evaluate the first type of stability set corresponding to the α-optimal compromise solutions. A numerical case study to check the validity of the proposed approach is presented. The results of comparative experiments show that the proposed method is sufficiently effective in solving F-MOMIST and has better performance than the existing methods.