Correlation coefficient for type‐2 fuzzy sets

Type‐2 fuzzy sets are a generalization of the ordinary fuzzy sets in which each fuzzy set is characterized by a fuzzy membership function. In this article we consider how to define the correlation coefficient between two type‐2 fuzzy sets. We have adopted the embedded function model and interpret each type‐2 fuzzy set as a weighted ensemble of ordinary fuzzy sets. Using this interpretation enables us to define a correlation coefficient between two type‐2 fuzzy sets. © 2006 Wiley Periodicals, Inc. Int J Int Syst 21: 143–153, 2006.

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