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Journal of Applied Mathematics
Volume 2015, Article ID 952150, 12 pages
Research Article

Using Metric Distance Ranking Method to Find Intuitionistic Fuzzy Critical Path

1Department of Mathematics, Sudharsan Engineering College, Tamil Nadu 622501, India
2Department of Mathematics, Anna University Chennai, BIT Campus, Tamil Nadu 620024, India

Received 1 April 2015; Revised 4 June 2015; Accepted 28 June 2015

Academic Editor: Humberto Bustince

Copyright © 2015 P. Jayagowri and G. Geetharamani. 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.


Network analysis is a technique which determines the various sequences of activities concerning a project and the project completion time. The popular methods of this technique which is widely used are the critical path method and program evaluation and review techniques. The aim of this paper is to present an analytical method for measuring the criticality in an (Atanassov) intuitionistic fuzzy project network. Vague parameters in the project network are represented by (Atanassov) intuitionistic trapezoidal fuzzy numbers. A metric distance ranking method for (Atanassov) intuitionistic fuzzy numbers to a critical path method is proposed. (Atanassov) Intuitionistic fuzzy critical length of the project network is found without converting the (Atanassov) intuitionistic fuzzy activity times to classical numbers. The fuzzified conversion of the problem has been discussed with the numerical example. We also apply four different ranking procedures and we compare it with metric distance ranking method. Comparison reveals that the proposed ranking method is better than other raking procedures.