A Novel Ranking Technique to Resolve Unbalanced Fuzzy Transportation Problems Using Trapezoidal Fuzzy Numbers

Abstract

This research uses trapezoidal fuzzy numbers to solve a fuzzy transportation problem in a fuzzy environment. Applied mathematics has extensively researched the transportation problem, which involves solving a set of linear equations with various scientific applications. Simultaneous mathematical models play a crucial role in operational research. This research paper's primary goal is to determine the lowest possible transportation cost for certain supplies via a capacitated network, where the demand and availability notes are previously represented by fuzzy trapezoidal values. The membership function is demonstrated by using trapezoidal fuzzy numbers. This approach is demonstrated by solving a fuzzy transportation problem with trapezoidal fuzzy numbers and the ranking strategy. A numerical example is provided to illustrate that it is the best conceivable solution.