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Correlation coefficient for type‐2 fuzzy sets
Author(s) -
Mitchell H.B.
Publication year - 2006
Publication title -
international journal of intelligent systems
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.291
H-Index - 87
eISSN - 1098-111X
pISSN - 0884-8173
DOI - 10.1002/int.20124
Subject(s) - mathematics , membership function , defuzzification , fuzzy classification , fuzzy set , fuzzy set operations , fuzzy number , fuzzy mathematics , type (biology) , fuzzy logic , type 2 fuzzy sets and systems , generalization , discrete mathematics , algorithm , artificial intelligence , computer science , mathematical analysis , ecology , biology
Abstract 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.