Correlation coefficient for type-2 fuzzy sets
Harvey B. Mitchell · International Journal of Intelligent Systems · 2005
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.