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On an Enhanced Method for a More Meaningful Pearson’s Correlation Coefficient between Intuitionistic Fuzzy Sets

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Artificial Intelligence and Soft Computing (ICAISC 2012)

Part of the book series: Lecture Notes in Computer Science ((LNAI,volume 7267))

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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).

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Author information

Authors and Affiliations

  1. Systems Research Institute, Polish Academy of Sciences, ul. Newelska 6, 01–447, Warsaw, Poland

    Eulalia Szmidt & Janusz Kacprzyk

  2. Warsaw School of Information Technology, ul. Newelska 6, 01-447, Warsaw, Poland

    Eulalia Szmidt & Janusz Kacprzyk

Authors
  1. Eulalia Szmidt
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  2. Janusz Kacprzyk
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Editor information

Editors and Affiliations

  1. Częstochowa University of Technology, Armii Krajowej 36, 42-200, Częstochowa, Poland

    Leszek Rutkowski , Marcin Korytkowski  & Rafał Scherer ,  & 

  2. AGH University of Science and Technology, Mickiewicza 30, 30-059, Kraków, Poland

    Ryszard Tadeusiewicz

  3. Department of Electrical Engineering and Computer Sciences, Computer Science Division, University of California Berkeley, 94720-1776, Berkeley, CA, USA

    Lotfi A. Zadeh

  4. Computational Intelligence Laboratory, Electrical and Computer Engineering, University of Louisville, 405 Lutz Hall, 40292, Louisville, KY, USA

    Jacek M. Zurada

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Szmidt, E., Kacprzyk, J. (2012). On an Enhanced Method for a More Meaningful Pearson’s Correlation Coefficient between Intuitionistic Fuzzy Sets. In: Rutkowski, L., Korytkowski, M., Scherer, R., Tadeusiewicz, R., Zadeh, L.A., Zurada, J.M. (eds) Artificial Intelligence and Soft Computing. ICAISC 2012. Lecture Notes in Computer Science(), vol 7267. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-29347-4_39

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  • DOI: https://doi.org/10.1007/978-3-642-29347-4_39

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-642-29346-7

  • Online ISBN: 978-3-642-29347-4

  • eBook Packages: Computer ScienceComputer Science (R0)

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