Optimizing Production and Distribution Problem for Agricultural Products with Type-2 Fuzzy Variables

摘要

This paper focuses on generating the optimal solutions of the production and distribution for agricultural products under fuzzy environment, where the crop's yield is characterized by type-2 fuzzy variable with known type-2 possibility distributions. In order to formulate the problem within the framework of the credibility optimization, we employ the possibility value-at-risk (VaR) reduction method to the type-2 fuzzy yield, and then reformulate the multi-fold fuzzy production and distribution problem as the chance constrained programming model. On the basis of the critical value formula for possibility value-at-risk reduced fuzzy variable, original fuzzy production and distribution model is converted into its equivalent parametric mixed integer programming form, which can be solved by general-purpose software. Numerical experiment is implemented to highlight the application of the fuzzy production and distribution model as well as the effectiveness of the solution method.