Dealing with a Transportation Problem with Multi Choice Cost Coefficients and Fuzzy Supplies and Demands

In real life situations the parameters of Transportation problems are not certain. Either the parameters are fuzzy numbers or multiple choices are available. In this paper we consider a Transportation problem where the parameters like costs of transportation are multi choice in nature and other parameters like demands and supplies in the constrain are trapezoidal fuzzy numbers. We use binary variable approach to make a choice out of the available cost coefficients and ranking function is used to deal with trapezoidal fuzzy numbers. The problem was solved with existing methods and softwares like LINGO. A numerical example illustrate the purpose method.