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The Kendall Rank Correlation between Intuitionistic Fuzzy Sets: An Extended Analysis

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Book cover Soft Computing: State of the Art Theory and Novel Applications

Part of the book series: Studies in Fuzziness and Soft Computing ((STUDFUZZ,volume 291))

Abstract

This paper is a continuation and extension of our previous works on correlation coefficients between Atanassov’s intuitionistic fuzzy sets (A-IFSs, for short), notably on the Pearson coefficient r and the Spearman correlation coefficient to measure the degree of association between A-IFSs. Here, we develop, and illustrate on examples, the concept of the Kendall rank correlation for A-IFSs which is another important measure of correlation.

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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 & Paweł Bujnowski

  2. WIT – 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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  3. Paweł Bujnowski
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Corresponding author

Correspondence to Eulalia Szmidt .

Editor information

Editors and Affiliations

  1. , Iona College, Machine Intelligence Institute, New Rochelle, 10801, New York, USA

    Ronald R. Yager

  2. Information Technologies of the, Republic of Azerbaijan, Ministry of Communications and, Zarifa Aliyeva str. 33, Baku, AZ1000, Azerbaijan

    Ali M. Abbasov

  3. , Department of Electrical, University of Alberta, ECERF Building W5-023, Edmonton, T6G 2V4, Alberta, Canada

    Marek Z. Reformat

  4. , Department of Information Technology, Azerbaijan Technical University, 25 H.Cavid Ave., Baku, AZ1073, Azerbaijan

    Shahnaz N. Shahbazova

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Szmidt, E., Kacprzyk, J., Bujnowski, P. (2013). The Kendall Rank Correlation between Intuitionistic Fuzzy Sets: An Extended Analysis. In: Yager, R., Abbasov, A., Reformat, M., Shahbazova, S. (eds) Soft Computing: State of the Art Theory and Novel Applications. Studies in Fuzziness and Soft Computing, vol 291. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-34922-5_4

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  • DOI: https://doi.org/10.1007/978-3-642-34922-5_4

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-642-34921-8

  • Online ISBN: 978-3-642-34922-5

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