Correlation coefficient for type-2 fuzzy sets: Research Articles

Authors:
H. B. Mitchell
Affiliations:
Elta Electronics Industries Ltd., Intelligent Centers Department (Section 6174), Signal Processing and Computer Division, Ashdod, Israel
Venue:
International Journal of Intelligent Systems
Year:
2006

Citing 0
Cited 7

Handling partial truth on type-2 similarity-based reasoning

Expert Systems with Applications: An International Journal
On similarity and inclusion measures between type-2 fuzzy sets with an application to clustering

Computers & Mathematics with Applications
Similarity, inclusion and entropy measures between type-2 fuzzy sets based on the Sugeno integral

Mathematical and Computer Modelling: An International Journal
On interval type-2 rough fuzzy sets

Knowledge-Based Systems
On characterization of generalized interval type-2 fuzzy rough sets

Information Sciences: an International Journal
Correlation coefficient of linguistic variables and its applications to quantifying relations in imprecise management data

Engineering Applications of Artificial Intelligence
A type-2 linguistic set theory and its application to multi-criteria decision making

Computers and Industrial Engineering

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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.