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Fuzzy Multisets and Their Generalizations

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Multiset Processing (WMC 2000)

Part of the book series: Lecture Notes in Computer Science ((LNCS,volume 2235))

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Abstract

Fuzzymultisets with infinitemembership sequences and their generalization using set-valued memberships are considered. Two metric spaces of the infinite fuzzy multisets are defined in terms of cardinality. One is the completion of fuzzy multisets of finite membership sequences; the other is derived from operations among fuzzy multisets and realvalued multisets. Theoretical properties of these infinite fuzzy multisets are discussed.

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Author information

Authors and Affiliations

  1. Institute of Engineering Mechnics and Systems, University of Tsukuba, 305-8573, Ibaraki, Japan

    Sadaaki Miyamoto

Authors
  1. Sadaaki Miyamoto
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Editor information

Editors and Affiliations

  1. Department of Computer Science Center for Discrete Mathematics and Theoretical Computer Science, University of Auckland, Auckland

    Cristian S. Calude

  2. Institute of Mathematics of the Romanian Academy, Romanian

    Gheorghe PĂun

  3. Leiden Institute for Advanced Computer Science, Leiden University, Leiden

    Grzegorz Rozenberg

  4. Turku Center for Computer Science, TUCS, Turku

    Arto Salomaa

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© 2001 Springer-Verlag Berlin Heidelberg

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Miyamoto, S. (2001). Fuzzy Multisets and Their Generalizations. In: Calude, C.S., PĂun, G., Rozenberg, G., Salomaa, A. (eds) Multiset Processing. WMC 2000. Lecture Notes in Computer Science, vol 2235. Springer, Berlin, Heidelberg. https://doi.org/10.1007/3-540-45523-X_11

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  • DOI: https://doi.org/10.1007/3-540-45523-X_11

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-43063-6

  • Online ISBN: 978-3-540-45523-3

  • eBook Packages: Springer Book Archive

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