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

Goal Programming (GP) is one of the most important tech-niques to solve Multiple Objective Programming (MOP) problem, whichfor each target an aspirational level is considered by the decision maker.If several aspiration level are considered for each target, then there will bethe issue of Multi- Choice Goal Programming (MCGP) problem. Recentlya 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 whichis named as Flexible Fuzzy Multi-Choice Goal Programming (FFMCGP)Problem. In this way, we present a new method to solve FFMCGP modelusing linear multi-parametric programming while the minimum degreemembership for constraints and goals are considered by decision maker.For further understanding, we present a numerical example to illustratethe proposed approach