A New Hybrid Intelligent Algorithm for Fuzzy Multiobjective Programming Problem Based on Credibility Theory

Based on the credibility theory, this paper is devoted to the fuzzy multiobjective programming problem. Firstly,the expected-value model of fuzzy multiobjective programming problem is provided based on credibility theory;then two new approaches for obtaining efficient solutions are proposed on the basis of the expected-value model,whose validity has been proven. For solving the fuzzy MOP problem efficiently, Latin hypercube sampling, fuzzysimulation, support vector machine, and artificial bee colony algorithm are integrated to build a hybrid intelligentalgorithm. An application case study on availability allocation optimization problem in repairable parallel-seriessystem design is documented. The results suggest that the proposed method has excellent consistency and efficiencyin solving fuzzy multiobjective programming problem and is particularly useful for expensive systems