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Integral-Based Modifications of OWA-Operators

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Nonlinear Mathematics for Uncertainty and its Applications

Part of the book series: Advances in Intelligent and Soft Computing ((AINSC,volume 100))

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Abstract

An OWA-operator (ordered weighted averaging aggregation operator) can be seen as a discrete Choquet integral with respect to a symmetric monotone measure. Based on this representation and using universal integrals, several modifications of OWA-operators are introduced and discussed.

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Author information

Authors and Affiliations

  1. Department of Knowledge-Based Mathematical Systems, Johannes Kepler University, 4040, Linz, Austria

    Erich Peter Klement

  2. Department of Mathematics and Descriptive Geometry, Faculty of Civil Engineering, Slovak University of Technology, 81 368, Bratislava, Slovakia

    Radko Mesiar

  3. Institute for Research and Applications of Fuzzy Modeling, University of Ostrava, 70103, Ostrava, Czech Republic

    Radko Mesiar

Authors
  1. Erich Peter Klement
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  2. Radko Mesiar
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Editor information

Editors and Affiliations

  1. College of Applied Sciences, Beijing University of Technology, 100 Pingleyuan, 100124, Chaoyang District, Beijing, P.R. China

    Shoumei Li , Xia Wang  & Li Guan ,  & 

  2. Department of Systems Design and Informatics, Kyushu Institute of Technology, 680-4, Kawazu, 820-8502, lizuka, Japan

    Yoshiaki Okazaki

  3. Department of Mathematics, Shinshu University, 4-17-1 Wakasato, 380-8553, Nagano, Japan

    Jun Kawabe

  4. Department of Computational Intelligence and Systems Science, Tokyo Institute of Technology, 4259-G3-47, Nagatsuta, Midori-ku, 226-8502, Yokohama, Japan

    Toshiaki Murofushi

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© 2011 Springer-Verlag Berlin Heidelberg

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Klement, E.P., Mesiar, R. (2011). Integral-Based Modifications of OWA-Operators. In: Li, S., Wang, X., Okazaki, Y., Kawabe, J., Murofushi, T., Guan, L. (eds) Nonlinear Mathematics for Uncertainty and its Applications. Advances in Intelligent and Soft Computing, vol 100. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-22833-9_39

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  • DOI: https://doi.org/10.1007/978-3-642-22833-9_39

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-642-22832-2

  • Online ISBN: 978-3-642-22833-9

  • eBook Packages: EngineeringEngineering (R0)

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