A ranking method for solving type-2 fuzzy unbalanced transportation problem using the triangular fuzzy number

Abstract

Due to the inconsistent economic and environment conditions, it becomes difficult to measure the demand and production costs of a transportation problem. In this paper, we proposed a fuzzy transportation problem involving transportation cost, availability, and demand of the product, which are represented by type-2 triangular fuzzy numbers. Additionally, a (Perfectly Interval Type-2 Fuzzy Number) PIT2TFN, generalized ranking method, VAM method are incorporated. Using the mentioned concept, we present an algorithm to solve an unbalanced transportation problem. Finally, an illustrated numerical example using this algorithm is presented.