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The Parametrization of Fuzzy Sets by Single-Valued Mappings

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Fuzzy Logic

Part of the book series: Theory and Decision Library ((TDLD,volume 12))

Abstract

We give a parametric representation of fuzzy sets and fuzzy functions, in terms of single-valued functions parametrized over the unit ball.

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References

  1. J.-P. Aubin and H. Prankowska, Set-Valued Analysis, Birkhäuser, Boston, 1990.

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Author information

Authors and Affiliations

  1. University of Queensland, QLD 4072, Australia

    Phil Diamond

  2. Deakin University, Geelong, 3127, Australia

    Peter Kloeden

Authors
  1. Phil Diamond
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  2. Peter Kloeden
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Editor information

Editors and Affiliations

  1. University of Antwerp, Antwerp, Belgium

    R. Lowen

  2. Université de Liège, Liège, Belgium

    M. Roubens

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© 1993 Springer Science+Business Media Dordrecht

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Diamond, P., Kloeden, P. (1993). The Parametrization of Fuzzy Sets by Single-Valued Mappings. In: Lowen, R., Roubens, M. (eds) Fuzzy Logic. Theory and Decision Library, vol 12. Springer, Dordrecht. https://doi.org/10.1007/978-94-011-2014-2_9

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  • DOI: https://doi.org/10.1007/978-94-011-2014-2_9

  • Publisher Name: Springer, Dordrecht

  • Print ISBN: 978-94-010-4890-3

  • Online ISBN: 978-94-011-2014-2

  • eBook Packages: Springer Book Archive

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