Solving a new mathematical fuzzy multi-objective for supply chain of based on fuzzy necessity measure.

Abstract

The Supply Chain is considered a necessity for the success of organizations seeking the most economic, environmental and social impacts. In addition, the implementation and suitable execution of this supply chain seems to be necessary. Considering the importance of the social impacts of this supply chain, a fuzzy multi-objective mathematical model is provided such that, in addition to considering the environmental and economic impacts, social impacts are also considered. In order to approximate the provided model to real-world conditions, some parameters are considered under conditions of uncertainty and in the form of triangular fuzzy numbers. A two-step method is provided to solve the proposed model. In the first step, the model converges to a determinate multi- objective problem using the necessity measure and in the second step the model is solved using the cumulative function method .Finally, to show the applicability of the proposed method, a real industrial case study is provided.