A Comparison of Triangular Fuzzy Numbers and Intuitionistic Triangular Fuzzy Numbers Using Apex Base Least Cost Method

Abstract

The transportation model is a special class of the linear programming problem. In real world problems, optimization techniques are useful for solving problems like, project schedules, assignment problems and network flow analysis. The objective is to minimize the transportation cost of some commodities through a capacitated network when the supply and demand of nodes and the capacity and cost of edges are represented as fuzzy numbers. Here, we are proposed for solving fuzzy transportation problem, where fuzzy demand and supply all are in the form of triangular fuzzy numbers and Intuitionistic triangular fuzzy numbers. In this paper a new method is ABLC for finding an optimal solution for a wide range of fuzzy transportation problem. This method is very easy to understand and use compared to other methods. A numerical example is solved using the proposed algorithm.