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Advances in Fuzzy Systems
Volume 2014 (2014), Article ID 183607, 6 pages
http://dx.doi.org/10.1155/2014/183607
Research Article

Using Trapezoidal Intuitionistic Fuzzy Number to Find Optimized Path in a Network

1Department of Mathematics, Sudharsan Engineering College, Pudukkottai, Tamil Nadu 622501, India
2Department of Mathematics, Anna University Chennai, BIT Campus, Tamil Nadu 620 024, India

Received 6 February 2013; Revised 18 October 2013; Accepted 2 April 2014; Published 11 May 2014

Academic Editor: Ning Xiong

Copyright © 2014 P. Jayagowri and G. Geetha Ramani. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

Abstract

In real life, information available on situations/issues/problems is vague, inexact, or insufficient and so the parameters involved therein are grasped in an uncertain way by the decision maker. But in real life such uncertainty is unavoidable. One possible way out is to consider the knowledge of experts about the parameters involved as fuzzy data. In a network, the arc length may represent time or cost. In Relevant literature reports there are several methods to solve such problems in network-flow. This paper proposes an optimized path for use in networks, using trapezoidal intuitionistic fuzzy numbers, assigned to each arc length in a fuzzy environment. It proposes a new algorithm to find the optimized path and implied distance from source node to destination node.