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Fuzzy Type Powerset Operators and F-Transforms

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Modeling Decisions for Artificial Intelligence (MDAI 2018)

Part of the book series: Lecture Notes in Computer Science ((LNAI,volume 11144))

Abstract

We introduce two types of aggregation operators for lattice-valued fuzzy sets, called fuzzy type powerset operators and fuzzy type F-transforms, which are derived from classical powerset operators and F-transforms, respectively. We prove that, in contrast with classical powerset operators, fuzzy type powerset operators form a subclass of fuzzy type F-transforms. Some examples of fuzzy type powerset operators are presented.

This research was partially supported by the project GA18-06915S provided by the Grant Agency of the Czech Republic.

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Author information

Authors and Affiliations

  1. Institute for Research and Applications of Fuzzy Modeling, University of Ostrava, 30. dubna 22, 701 03, Ostrava 1, Czech Republic

    Jiří Močkoř

Authors
  1. Jiří Močkoř
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Correspondence to Jiří Močkoř .

Editor information

Editors and Affiliations

  1. Maynooth University, Maynooth, Ireland

    Vicenç Torra

  2. Department Management Science, Tamagawa University, Tokyo, Japan

    Yasuo Narukawa

  3. University of the Balearic Islands, Palma de Mallorca, Spain

    Isabel Aguiló

  4. University of the Balearic Islands, Palma de Mallorca, Baleares, Spain

    Manuel González-Hidalgo

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Močkoř, J. (2018). Fuzzy Type Powerset Operators and F-Transforms. In: Torra, V., Narukawa, Y., Aguiló, I., González-Hidalgo, M. (eds) Modeling Decisions for Artificial Intelligence. MDAI 2018. Lecture Notes in Computer Science(), vol 11144. Springer, Cham. https://doi.org/10.1007/978-3-030-00202-2_15

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  • DOI: https://doi.org/10.1007/978-3-030-00202-2_15

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  • Publisher Name: Springer, Cham

  • Print ISBN: 978-3-030-00201-5

  • Online ISBN: 978-3-030-00202-2

  • eBook Packages: Computer ScienceComputer Science (R0)

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