A generalized equilibrium value-based approach for solving fuzzy transportation problems with triangular fuzzy numbers

摘要

Transportation Problem (TP) is one of the most best known operational research problems, which plays an important role in many practical applications. In this paper, we first propose the concept of generalized equilibrium value of fuzzy number, and further give a comparison method for ranking fuzzy numbers, namely GEV-CM; secondly, for Fuzzy Transportation Problem (FTP) where the unit transportation cost is represented by triangular fuzzy number and supplies and demands is real numbers, we convert it into a crisp TP using GEV-CM, which can be easily solved by standard solution methods; thirdly, we show that our methods are efficient in solving the above mentioned FTP through a numerical example. Therefore, our discussions can be widely applied in many real life transportation problems for the decision makers.