Correlation between two fuzzy membership functions

Authors:
C. A. Murthy;S. K. Pal;D. Dutta Majumder
Affiliations:
Electronics and Communication Sciences Unit, Indian Statistical Institute, Calcutta 700035, India;Electronics and Communication Sciences Unit, Indian Statistical Institute, Calcutta 700035, India;Electronics and Communication Sciences Unit, Indian Statistical Institute, Calcutta 700035, India
Venue:
Fuzzy Sets and Systems
Year:
1985

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Abstract

The need for a measure of correlation between two membership functions is stated. The properties that the correlation measure may possess are examined. A measure of correlation is defined on the basis of those properties. The definition is extended to the cases when (a) the domain is finite and (b) the domain is a subset of R^n. The problems encountered while extending the definition are also discussed.