International Journal of Mathematics and Mathematical Sciences
Volume 2010 (2010), Article ID 949143, 25 pages
Research Article

A Theoretical Development of Distance Measure for Intuitionistic Fuzzy Numbers

Department of Mathematics, IIT-Kharagpur, Kharagpur 721302, India

Received 4 August 2009; Revised 14 January 2010; Accepted 18 February 2010

Academic Editor: Andrzej Skowron

Copyright © 2010 Debashree Guha and Debjani Chakraborty. 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.


The objective of this paper is to introduce a distance measure for intuitionistic fuzzy numbers. Firstly the existing distance measures for intuitionistic fuzzy sets are analyzed and compared with the help of some examples. Then the new distance measure for intuitionistic fuzzy numbers is proposed based on interval difference. Also in particular the type of distance measure for triangle intuitionistic fuzzy numbers is described. The metric properties of the proposed measure are also studied. Some numerical examples are considered for applying the proposed measure and finally the result is compared with the existing ones.