Interactive decision making using possibility and necessity measures for a fuzzy random multiobjective 0-1 programming problem

This article deals with a multiobjective 0-1 programming problem involving fuzzy random variable coefficients. A novel decision-making model based on stochastic programming and possibilistic programming is proposed. The aim of this article is to seek a solution to maximize expected degrees of possibility or necessity for which objective function values satisfy fuzzy goals. It is shown that the problem, including fuzziness and randoness, equivalently is transformed into a deterministic multiobjective stochastic 0-1 programming problem. In order to find a satisficing solution of the problem for a decision maker, interactive decision making is constructed using the reference point method.