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International Conference on Information Processing and Management of Uncertainty in Knowledge-Based Systems

IPMU 2010: Information Processing and Management of Uncertainty in Knowledge-Based Systems. Theory and Methods pp 490–499Cite as

Fuzzy Measure Spaces Generated by Fuzzy Sets

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Part of the book series: Communications in Computer and Information Science ((CCIS,volume 80))

Abstract

In this paper we study fuzzy measures which are defined on algebras of fuzzy subsets of a given fuzzy set. Subsequently, we use these fuzzy measures to define a fuzzy integral. We show basic properties of these fuzzy measures and integrals. We are motivated by our research on fuzzy quantifiers, where this fuzzy integral is used.

This paper has been supported by the grant IAA108270901 of the GA AV ČR.

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References

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Author information

Authors and Affiliations

  1. Institute for Research and Applications of Fuzzy Modeling, University of Ostrava, 30. dubna 22, 70103, Ostrava, Czech Republic

    Antonín Dvořák & Michal Holčapek

Authors
  1. Antonín Dvořák
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  2. Michal Holčapek
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Editor information

Editors and Affiliations

  1. Fachbereich Mathematik und Informatik, Philipps-Universität Marburg, Marburg, Germany

    Eyke Hüllermeier

  2. Department of Knowledge Processing and Language Engineering, Otto-von-Guericke University of Magdeburg, Universitätsplatz 2, 39106, Magdeburg, Germany

    Rudolf Kruse

  3. Fakultät für Elektrotechnik und Informationstechnik, Technische Universität Dortmund, 44221, Dortmund, Germany

    Frank Hoffmann

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Dvořák, A., Holčapek, M. (2010). Fuzzy Measure Spaces Generated by Fuzzy Sets. In: Hüllermeier, E., Kruse, R., Hoffmann, F. (eds) Information Processing and Management of Uncertainty in Knowledge-Based Systems. Theory and Methods. IPMU 2010. Communications in Computer and Information Science, vol 80. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-14055-6_51

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  • DOI: https://doi.org/10.1007/978-3-642-14055-6_51

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-642-14054-9

  • Online ISBN: 978-3-642-14055-6

  • eBook Packages: Computer ScienceComputer Science (R0)

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