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Sugeno Integral from a Point of View of Fuzzy Logic

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Fuzzy Logic

Part of the book series: Studies in Fuzziness and Soft Computing ((STUDFUZZ,volume 81))

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Abstract

Authors attempts to translate the vagueness of fuzzy set theory and fuzzy logic to the ambiguity of fuzzy measure by considering the fact that the Sugeno integral in fuzzy measure theory can be represented in fuzzy switching functions with constants in fuzzy logic. Then, we attempt to apply the facts clarified in fuzzy logic to fuzzy measure. We propose two new concepts: “Extended fuzzy measure” and “Kleene-Sugeno integral”.

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References

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Author information

Authors and Affiliations

  1. Department of Information and Computer Sciences, Kanagawa Institute of Technology, 243-0292, Japan

    Tomoyuki Araki & Fujio Yamamoto

  2. Department of Computer Science, Meiji University, 214-8571, Japan

    Masao Mukaidono

Authors
  1. Tomoyuki Araki
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  2. Fujio Yamamoto
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  3. Masao Mukaidono
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Editor information

Editors and Affiliations

  1. School of Social Ecology and Lifelong Learning College of Arts, Education and Social Sciences, University of Western Sydney, Hawkesburg Campus, Locked Bag 1797, 1797, South Penrith DC, NSW, Australia

    Vladimir Dimitrov

  2. School of Mathematical and Decision Sciences Faculty of Informatics and Communication, Central Queensland University, Mackay Campus, PO BOX 5606, 4741, Mackay Mail Centre, QLD, Australia

    Victor Korotkich

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© 2002 Springer-Verlag Berlin Heidelberg

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Araki, T., Yamamoto, F., Mukaidono, M. (2002). Sugeno Integral from a Point of View of Fuzzy Logic. In: Dimitrov, V., Korotkich, V. (eds) Fuzzy Logic. Studies in Fuzziness and Soft Computing, vol 81. Physica, Heidelberg. https://doi.org/10.1007/978-3-7908-1806-2_14

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  • DOI: https://doi.org/10.1007/978-3-7908-1806-2_14

  • Publisher Name: Physica, Heidelberg

  • Print ISBN: 978-3-7908-2496-4

  • Online ISBN: 978-3-7908-1806-2

  • eBook Packages: Springer Book Archive

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