On an enhanced method for a more meaningful pearson's correlation coefficient between intuitionistic fuzzy sets

Authors:
Eulalia Szmidt;Janusz Kacprzyk
Affiliations:
Systems Research Institute, Polish Academy of Sciences, Warsaw, Poland,Warsaw School of Information Technology, Warsaw, Poland;Systems Research Institute, Polish Academy of Sciences, Warsaw, Poland,Warsaw School of Information Technology, Warsaw, Poland
Venue:
ICAISC'12 Proceedings of the 11th international conference on Artificial Intelligence and Soft Computing - Volume Part I
Year:
2012

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Abstract

This paper is a continuation of our previous works on correlation coefficients of Atanassov's intuitionistic fuzzy sets (A-IFSs). The Pearson's coefficient we discuss here yields the strength of relationship between the A-IFSs and also indicates the direction of correlation (positive or negative). The proposed correlation coefficient takes into account all three terms describing an A-IFS (membership values, non-membership values, and the hesitation margins).