Defuzzication method of type-2 gamma fuzzy variables and its application to transportation problem

Abstract

The main investigation of the paper is to develop the defuzzification method of type-2 gamma fuzzy variables. For this purpose, we have proposed the deffuzification technique of type-2 gamma fuzzy variables with the help of CV based reduction method. The paper also focuses on the significance to use the type-2 fuzzy variables especially the type-2 gamma fuzzy variables. In this paper, a transportation problem (TP) has been used to perform the proposed defuzzification approach. Finally, some real life data collected from different parts of our state has been used to solve the transportation problem (TP). The proposed deffuzification method has been illustrated with two examples to enrich the method. To solve this model, Lingo 13.0 optimization software has been used. Finally some managerial views are discussed to illustrate the result along with future scope.