A multi-parametric approach to solve flexible fuzzy multi-choice goal programming

Abstract

Goal Programming (GP) is one of the most important techniques to solve Multiple Objective Programming (MOP) problem, which for each target an aspirational level is considered by the decision maker. If several aspiration level are considered for each target, then there will be the issue of Multi- Choice Goal Programming (MCGP) problem. Recently a fuzzy version of the MCGP problem is proposed by some researchers. In this paper, we are going to extend the current model to the general form, where a flexible assumption is added to the constraints and the goals which is named as Flexible Fuzzy Multi-Choice Goal Programming (FFMCGP) Problem. In this way, we present a new method to solve FFMCGP model using linear multi-parametric programming while the minimum degree membership for constraints and goals are considered by decision maker. For further understanding, we present a numerical example to illustrate the proposed approach.