Multi-Choice Goal Programming with Flexible Fuzzy Goals and Constraints

Goal Programming(GP) is one of the most important techniques to solve multiple objective programming 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 problem which was first proposed by chang.T.C., in 2007. The first research on fuzzy multi-choice GP was presented by Bankian-Tabrizi, B. and etc. al., In the year (2012), they used triangular fuzzy numbers as the aspirational level of target. In this paper, a new model of flexible fuzzy multi-choice GP is considered which goals and constraints are of fuzzy flexible type, and in this paper a new method is presented to solve problem 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 and solve it using the above method.