Solving a Fully Fuzzy Multiobjective Programming Problem using its Equivalent Weighted Goal Programming Problem

This paper introduces a computational method of solving fully fuzzy multi objective linear programming problem through goal programming approach. Here we deal the imprecise parameters as fuzzy numbers with assumption that these fuzzy numbers have some possibility distribution associated with fuzzy variables. In the study, we extend the concept of conflict and non-conflict between objective functions to fuzzy objective functions to compute the expected priority structure and expected aspiration level for various goals. Further, in view of some risk taken by decision maker, β feasibility of decision vector has been used to obtain solution for the problem. The method has been illustrated by an example and results obtained have been compared with existing solutions to show its superiority. General Terms Fully fuzzy multi objective linear programming problem