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Erschienen in:
2010 | OriginalPaper | Buchkapitel
Correlation of Intuitionistic Fuzzy Sets
verfasst von : Eulalia Szmidt, Janusz Kacprzyk
Erschienen in: Computational Intelligence for Knowledge-Based Systems Design
Verlag: Springer Berlin Heidelberg
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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.