Solution value envelope to full fuzzy transportation problems

Abstract

In this paper we provide empirical solutions to the special class of full fuzzy transportation problems. We use trapezoidal fuzzy numbers to describe the both parameters and decision variables of the problem. Our approach is based on a quadratic optimization model derived from the original transportation model considering the cost coefficients, demands and supplies as decision variables. By our approach we aim to introduce a new methodology able to test the effectiveness of any approach that provides solutions to the same class of problems. In our study we analyze and compare the existing solution methods from the recent literature, and illustrate our theoretical results solving relevant instances.