A New Approach to Solve Type-2 Fuzzy Linear Programming Problem Using Possibility, Necessity, and Credibility Measures

ABSTRACT In this paper, a type -2 fuzzy linear programming model based on the possibility, necessity and credibility relation is introduced. By using the degree of measures, the satisfaction of constraints can be measured. With this ranking index, the bound of optimal(opt) solution is obtained at different degree of possibility and necessity measures. To validate the proposed method, Optimal solution is obtained for type -2 fuzzy linear programming problem at different degree of satisfaction by using simplex method with the help of MATLAB. Finally, the optimal solution procedure is illustrated with numerical example.