On correlation measures of intuitionistic fuzzy sets

Abstract

The intuitionistic fuzzy set, developed by Atanassov [1], is a useful tool to deal with vagueness and uncertainty. Correlation analysis of intuitionistic fuzzy sets is an important research topic in the intuitionistic fuzzy set theory and has great practical potential in a variety of areas, such as engineering, decision making, medical diagnosis, pattern recognition, etc. In this paper, we propose a new method for deriving the correlation coefficients of intuitionistic fuzzy sets, which has some advantages over the existing methods. Furthermore, we extend the developed method to the interval-valued intuitionistic fuzzy set theory, and show its application in medical diagnosis. © Springer-Verlag Berlin Heidelberg 2006.