An Optimal Algorithm for a Fuzzy Transportation Problem

Abstract

This paper deals with the optimal approximate solution to a special type of optimization problem called a fuzzy transportation problem using pentagonal fuzzy numbers. The values of the cost, supply, and demand for fuzzy transportation problems are taken as pentagonal fuzzy numbers. The pentagonal fuzzy numbers are converted into crisp values using a novel suggested ranking function. By comparing this with the conventional ranking methods, we can achieve better results with the aid of the proposed new ranking method. Vogel’s Approximation Method is then applied to obtain the solution. Several experiments have been conducted in order to investigate the suggested technique.