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Issue:Pearson's coefficient between intuitionistic fuzzy sets

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Title of paper: Pearson's coefficient between intuitionistic fuzzy sets
Author(s):
Eulalia Szmidt
Systems Research Institute - Polish Academy of Sciences, ul. Newelska 6, 01-447 Warsaw, Poland
szmidt@ibspan.waw.pl
Janusz Kacprzyk
Systems Research Institute - Polish Academy of Sciences, ul. Newelska 6, 01-447 Warsaw, Poland
kacprzyk@ibspan.waw.pl
Paweł Bujnowski
Systems Research Institute - Polish Academy of Sciences, ul. Newelska 6, 01-447 Warsaw, Poland
Presented at: 15th ICIFS, Burgas, 11-12 May 2011
Published in: Conference proceedings, "Notes on IFS", Volume 17 (2011) Number 2, pages 25—34
Download:  PDF (210  Kb, File info)
Abstract: The correlation coefficient (Pearson's [math]\displaystyle{ r }[/math]) is one of the most frequently used tools in statistics. In this paper we discuss a correlation coefficient between Atanassov's intuitionistic fuzzy sets (A-IFSs). We have constructed the coefficient so 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.
Keywords: Intuitionistic fuzzy sets, Correlation coefficient, Hesitation margin
AMS Classification: 03E72
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