An interactive fuzzy satisficing method through possibility and probability maximization for multiobjective 0-1 programming problems with fuzzy random variable coefficients

Abstract

In this paper, we focus on fuzzy random multiobjective 0-1 programming problems. Introducing fuzzy goals for objective functions to consider the ambiguity in the judgment of the decision maker, we transform the minimization of objective functions in the problems into the maximization of the satisfaction degree of each fuzzy goal. Since those degrees are random variables, we reduce the transformed problems to deterministic multiobjective 0-1 programming problems using probability maximization. In order to derive a satisficing solution for the reduced multiobjective problems, we propose an interactive fuzzy satisficing method through interactions with the decision maker.