A correlation coefficient for intuitionistic fuzzy sets

descriptionPublicationkeyboard_double_arrow_right Article 01 Jan 2004 English Publisher:Hindawi LimitedJournal:International Journal of Intelligent Systems, volume 19, pages 483-490 (issn: 0884-8173, eissn: 1098-111X,

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Authors: H. B. Mitchell;

doi: 10.1002/int.20004

A correlation coefficient for intuitionistic fuzzy sets

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Abstract

Summary: Intuitionistic fuzzy sets are a generalization of the ordinary fuzzy sets in which we have both a membership function \(\mu\) and a nonmembership function \(\nu\). 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.

Keywords

Theory of fuzzy sets, etc.

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