An Interactive Fuzzy Satisficing Method for Multiobjective Intger Programming Problems with Fuzzy Numbers through Genetic Algorithms with Triple Strings

Abstract

In this paper, we focus on multiobjective intger programming problems involving fuzzy numbers to reflect the experts' ambiguous understanding of the nature of the parameters in the problem-formulation process. For such multiobjective integer programming problems with fuzzy parameters, considering the imprecise nature of the decision maker's judgements, we propose an interactive fuzzy satisficing method through genetic algorithms for deriving a satisficing solution of the decision maker. In the genetic algorithms, triple string representation and random arithmetic crossover are proposed for the purpose of the efficient search. A lot of illustrutive numerical examples demonstrate the effectiveness of the proposed method.