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The 2-Additive Choquet Integral of Bi-capacities

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Artificial Intelligence and Soft Computing (ICAISC 2019)

Part of the book series: Lecture Notes in Computer Science ((LNAI,volume 11508))

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Abstract

In this paper, we propose the expression of a 2-additive Choquet integral of bi-capacities by using a bipolar M\(\ddot{o}\)bius transform based on ternary-element sets. This expression is equivalent to the expressions which are defined by Grabisch and Labreuche [12], and defined by Mayag et al. [13].

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Author information

Authors and Affiliations

  1. Department of Applied Sciences, University of Technology, Baghdad, Iraq

    Jabbar Abbas

Authors
  1. Jabbar Abbas
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Correspondence to Jabbar Abbas .

Editor information

Editors and Affiliations

  1. Częstochowa University of Technology, Częstochowa, Poland

    Leszek Rutkowski

  2. Częstochowa University of Technology, Częstochowa, Poland

    Rafał Scherer

  3. Częstochowa University of Technology, Częstochowa, Poland

    Marcin Korytkowski

  4. University of Alberta, Edmonton, AB, Canada

    Witold Pedrycz

  5. AGH University of Science and Technology, Kraków, Poland

    Ryszard Tadeusiewicz

  6. University of Louisville, Louisville, KY, USA

    Jacek M. Zurada

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Abbas, J. (2019). The 2-Additive Choquet Integral of Bi-capacities. In: Rutkowski, L., Scherer, R., Korytkowski, M., Pedrycz, W., Tadeusiewicz, R., Zurada, J. (eds) Artificial Intelligence and Soft Computing. ICAISC 2019. Lecture Notes in Computer Science(), vol 11508. Springer, Cham. https://doi.org/10.1007/978-3-030-20912-4_27

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  • DOI: https://doi.org/10.1007/978-3-030-20912-4_27

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  • Publisher Name: Springer, Cham

  • Print ISBN: 978-3-030-20911-7

  • Online ISBN: 978-3-030-20912-4

  • eBook Packages: Computer ScienceComputer Science (R0)

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