Abstract
In this paper, we find the optimal solution for an unbalanced intuitionistic fuzzy transportation problem by using monalisha’s approximation method. The main aim of this method is to avoid large number of iterations. To illustrate this method a numerical example Triangular intuitionistic fuzzy number, unbalanced intuitionistic fuzzy transportation problem, accuracy function.is given.
Highlights
The concept of fuzzy set theory introduced by Zadeh [7] was extended to intuitionistic fuzzy sets (IFS) by Atanassov [1]
Let Xij(i = 1, 2, ..., m, j = 1, 2, ..., n) is quantity transported from ith IF origin to jth IF destination
The main contribution of this paper is to derive the optimal solution of a triangular intuitionistic fuzzy transportation problem using Monalishas approximation method with fewer steps in comparison to other methods
Summary
The concept of fuzzy set theory introduced by Zadeh [7] was extended to intuitionistic fuzzy sets (IFS) by Atanassov [1]. Intuitionistic fuzzy set is a tool in modelling real life problems like sale analysis, new product marketing, financial services, negotiation process, psychological investigations etc., Intuitionistic fuzzy set has greater influence in solving transportation problem. The basic transportation problem was originally developed by Hitchcock [2]. If the quantities (transportation cost, supply and demand) are intuitionistic fuzzy it is a intuitionistic fuzzy transportation problem (IFTP). Nagoor et al [3, 4] solved IFTP by various methods. By using monalisha’s approximation method, find an optimal solution for balanced IFTP has been studied by number of authors [5, 6]. We solve unbalanced intuitionistic fuzzy transportation problems, as it requires least iterations to reach optimality. The procedure for the solution is illustrated with a numerical example
Sign-in/Register to view highlights & summary Sign-in/Register to access full text options 
Free) 
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a call
