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Mathematics of Multisets

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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

This paper is an attempt to summarize the basic elements of the multiset theory. We begin by describing multisets and the operations between them, then we present hybrid sets and their operations. We continue with a categorical approach to multisets, and then we present fuzzy multisets and their operations. Finally, we present partially ordered multisets.

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Author information

Authors and Affiliations

  1. Department of Civil Engineering, Democritus University of Thrace, 671 00, Xanthi, GR, Greece

    Apostolos Syropoulos

Authors
  1. Apostolos Syropoulos
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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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Syropoulos, A. (2001). Mathematics of Multisets. 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_17

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  • DOI: https://doi.org/10.1007/3-540-45523-X_17

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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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