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Algebraic analysis of fuzzy indiscernibility

  • 3. Fuzzy Sets
  • Conference paper
  • First Online:
Uncertainty in Knowledge Bases (IPMU 1990)

Part of the book series: Lecture Notes in Computer Science ((LNCS,volume 521))

Abstract

First, this paper investigates a model of the database with fuzzy information and generalizes a class of fuzzy indiscernibility relations from the model. Next, this paper is focused on algebraic analysis of the fuzzy indiscernibility, i.e., defining an algebraic structure based on the fuzzy indiscernibility; showing the representation theorem and the center of a given algebra.

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Author information

Authors and Affiliations

  1. Department of Applied Mathematics, Hiroshima University, 724, Higashi-Hiroshima, Japan

    Jian-Ming Gao & Akira Nakamura

Authors
  1. Jian-Ming Gao
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  2. Akira Nakamura
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Editor information

Bernadette Bouchon-Meunier Ronald R. Yager Lotfi A. Zadeh

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© 1991 Springer-Verlag Berlin Heidelberg

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Gao, JM., Nakamura, A. (1991). Algebraic analysis of fuzzy indiscernibility. In: Bouchon-Meunier, B., Yager, R.R., Zadeh, L.A. (eds) Uncertainty in Knowledge Bases. IPMU 1990. Lecture Notes in Computer Science, vol 521. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0028098

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  • DOI: https://doi.org/10.1007/BFb0028098

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-54346-6

  • Online ISBN: 978-3-540-47580-4

  • eBook Packages: Springer Book Archive

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