Correlation of intuitionistic fuzzy sets

Authors:
Eulalia Szmidt;Janusz Kacprzyk
Affiliations:
Systems Research Institute, Polish Academy of Sciences, Warsaw, Poland and Warsaw School of Information Technology, Warsaw, Poland;Systems Research Institute, Polish Academy of Sciences, Warsaw, Poland and Warsaw School of Information Technology, Warsaw, Poland
Venue:
IPMU'10 Proceedings of the Computational intelligence for knowledge-based systems design, and 13th international conference on Information processing and management of uncertainty
Year:
2010

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Abstract

The correlation coefficient (Pearson's r) is one of the most frequently used tools in statistics. In this paper we propose a correlation coefficient of Atanassov's intuitionistic fuzzy sets (A-IFSs). It provides the strength of the relationship between A-IFSs and also shows if the considered sets are positively or negatively correlated. Next, the proposed correlation coefficient takes into account not only the amount of information related to the A-IFS data (expressed by the membership and non-membership values) but also the reliability of the data expressed by a so-called hesitation margin.