Transportation of Materials Under Fuzzy Environment Using Expected Monetary Value Strategy

There are many circumstances in real-word situations where multiple objectives were taken into account and optimized simultaneously.Developing an acceptable solution for a multi-objective optimizing problem might be done in various ways.The multiobjective optimization problems include assignment problem, transport problem, travelling salesman problem and many more.To better tackle real-world scenarios, a fuzzy set theory-based multi-objective transportation problem (MOTP) is examined.An understandable and direct method is intended to find the fully fuzzy multi objective transportation problems where the parameters are triangular fuzzy numbers.By applying a new ranking method and a new type of arithmetic operations on the parametric representation of triangular fuzzy numbers, we have obtained a nondominated solution of the fully fuzzy multi objective transportation problems.The new ranking method preserves the fuzzy nature of the problem.The Expected Monetary Value (EMV) strategy is applied to deal with the multi-objective optimization circumstances and a numerical example is provided to illustrate the strategy.