Possibly Efficient Solution for Possibilistic Multiobjective Linear Programming Problem and Sensitivity Analysis

Abstract

In this paper, we consider possibilistic multiobjective linear programming problems. A possibly efficient solution set is defined as a fuzzy set whose membership grades represent possibility degrees for which the feasible solutions are efficient. We restrict possibilistic distributions of the coefficients in possibilistic multiobjective linear programming problems, and propose the calculation mehtod of the degree of possible efficiency for a certain feasible solution based on the dual problem. Applying the result of calculation to sensitivity analysis, we can discuss the readjustment of the parameters of fuzzy numbers.