Multiobjective Fuzzy Random Linear Programming Problems Based on E-Model and V-Model

In this paper, an interactive decision making method for multiobjective fuzzy random linear programming problems based on an expectation model (E-model) and a variance minimization model (V-model) is proposed. In the proposed method, it is assumed that the decision maker intends to not only maximize the expected degrees of possibilities that the original objective functions attain the corresponding fuzzy goals, but also minimize the standard deviations for such possibilities, and such fuzzy goals are quantified by eliciting the corresponding membership functions. Using the fuzzy decision, both the expected degrees of possibilities and the membership functions of the standard deviations are integrated, and an EV-Pareto optimality concept is introduced. In the integrated membership space, a satisfactory solution is obtained from among an EV-Pareto optimal solution set through the interaction with the decision maker.