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Fundamentals of a Generalized Measure Theory

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Mathematics of Fuzzy Sets

Part of the book series: The Handbooks of Fuzzy Sets Series ((FSHS,volume 3))

Abstract

In this chapter, we try to present a coherent survey on some recent attempts in building a theory of generalized measures. Our main goal is to emphasize a minimal set of axioms both for the measures and their domains, and still to be able to prove significant results. Therefore we start with fairly general structures and enrich them with additional properties only if necessary.

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Author information

Authors and Affiliations

  1. Institut für Mathematik, Johannes Kepler Unversität Linz, A-4040, Linz, Austria

    E. P. Klement

  2. Fachbereich Mathematik Johannes Gutenberg-Universität Mainz, D-55099, Mainz, Germany

    S. Weber

Authors
  1. E. P. Klement
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  2. S. Weber
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Editor information

Editors and Affiliations

  1. Fachbereich Mathematik, Bergische Universität, Wuppertal, Germany

    Ulrich Höhle

  2. Department of Mathematics and Statistics, Youngstown State University, Youngstown, Ohio, USA

    Stephen Ernest Rodabaugh

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Klement, E.P., Weber, S. (1999). Fundamentals of a Generalized Measure Theory. In: Höhle, U., Rodabaugh, S.E. (eds) Mathematics of Fuzzy Sets. The Handbooks of Fuzzy Sets Series, vol 3. Springer, Boston, MA. https://doi.org/10.1007/978-1-4615-5079-2_13

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  • DOI: https://doi.org/10.1007/978-1-4615-5079-2_13

  • Publisher Name: Springer, Boston, MA

  • Print ISBN: 978-1-4613-7310-0

  • Online ISBN: 978-1-4615-5079-2

  • eBook Packages: Springer Book Archive

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