Post Optimality Analysis in Fuzzy Multi Objective Linear Programming

Abstract

Models of linear programming problems with fuzzy constraints are well known in the current literature. In this paper, the post optimality analysis (POA) of a given fuzzy efficient solution in a general fuzzy multi-objective linear programming (FMOLP) problem is considered. The POA determines the largest sensitivity region of changes in the input data the fuzzy efficient solution of FMOLP problem remains unchanged. For this reason, three cases are considered separately: changing in one objective function coefficient (the change in one of objective functions' coefficient), objective function removal and objective function addition. Each case is illustrated by a numerical example.