Solution of Multi Objective Transportation Problem Under Fuzzy Environment

Abstract

The crisp transportation problem is one of the special case of linear programming problems. It is explained with the hypothesis that the cost parameters are indicated inaccurate way. But in the present world, the transportation parameters may be uncertain due to many uncontrolled factors; this gives rise to fuzzy environment. Here, we proposed a method for the solution of fully fuzzy multi objective transportation problems involving triangular fuzzy numbers. We solve the fully fuzzy multi objective transportation problems without converting it into crisp form. A numerical example is discussed to demonstrate the theory formulated in this article.

Convex Combination Method on Probabilistic Fuzzy Multiobjective Transportation Problem with Pareto Distribution

“…In some cases, transportation problems have more than one objective function, for example the time and cost functions will be optimized simultaneously. Transportation problems with more than one objective function are called multiobjective transportation problems (Kakran & Dhodiya, 2020), (Bagheri et al, 2020), (Gowthami & Prabakaran, 2019), (Samanta et al, 2020), (Roy et al, 2018).…”