A Novel Type-2 Fuzzy Programming Approach for Solving Multiobjective Programming Problems

This article introduces a novel type-2 fuzzy programming approach for solving multiobjective programming problems. The linguistic decision variables of the model are considered as type-2 fuzzy numbers, each of which is represented by four ordinary fuzzy numbers. In the solution process a Takagi–Sugeno type-2 fuzzy inference system has been developed. The outputs achieved through the inference system are then aggregated by developing an equivalent fuzzy multiobjective programming model. Finally, a weighted fuzzy goal programming is derived to find the compromise solution of the objectives in deterministic environment. A numerical example is solved to demonstrate the application potentiality of the developed method. The achieved solutions are then compared with the existing method to establish superiority of the proposed method.