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.
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H. B. Mitchell (2004) studied this question.