A correlation coefficient for intuitionistic fuzzy sets

Authors:
H. B. Mitchell
Affiliations:
Elta Systems, Ltd., Image Intelligence Exploitation Department (Section 6174), Image Intelligence and Radar Division, 77102 Ashdod, Israel
Venue:
International Journal of Intelligent Systems
Year:
2004

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Abstract

Intuitionistic fuzzy sets are a generalization of the ordinary fuzzy sets in which we have both a membership function μ and a nonmembership function ν. In this article we consider the problem of defining a correlation coefficient between two intuitionistic fuzzy sets. We show that by interpreting an intuitionistic fuzzy set as an ensemble of ordinary fuzzy sets we are able to derive a simple, intuitively satisfying correlation coefficient between two intuitionistic fuzzy sets. We show the reasonableness of the results obtained by examining several test cases. © 2004 Wiley Periodicals, Inc.