Optimal Bounds for Fully Fuzzy Transportation Problems: A Parametric Approach

Abstract

Abstract This article presents an algorithm for addressing optimization problems using fuzzy sets. Fuzzy optimization refers to the process of optimizing in a fuzzy environment, specifically involving optimization with fuzzy constraints. We have simplified this problem by employing the parametric technique, which transforms a fuzzy set into a collection of ordinary sets. As a result, we have converted it into a family of conventional optimization problems. The Vogel's Approximation Method (VAM) has been utilized to determine the best optimal solution for the fuzzy transportation problem. In addition, we employed the exact optimal solution to guarantee the accuracy of the acquired results.