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The Minimization of Axiom Sets Characterizing Generalized Fuzzy Rough Approximation Operators

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Fuzzy Systems and Knowledge Discovery (FSKD 2005)

Part of the book series: Lecture Notes in Computer Science ((LNAI,volume 3613))

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Abstract

In the axiomatic approach of fuzzy rough set theory, fuzzy rough approximation operators are characterized by a set of axioms that guarantees the existence of certain types of fuzzy binary relations reproducing the operators. Thus axiomatic characterization of fuzzy rough approximation operators is an important aspect in the study of rough set theory. In this paper, the independence of axioms of generalized fuzzy rough approximation operators is investigated, and their minimal sets of axioms are presented.

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Author information

Authors and Affiliations

  1. Information College, Zhejiang Ocean University, Zhoushan, Zhejiang, 316004, P.R. China

    Xiao-Ping Yang

Authors
  1. Xiao-Ping Yang
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Editors and Affiliations

  1. School of Electrical and Electronic Engineering, Nanyang Technological University, Block S1, Nanyang Avenue, 639798, Singapore

    Lipo Wang

  2. Honda Research Institute Europe GmbH, Offenbach/Main, Germany

    Yaochu Jin

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© 2005 Springer-Verlag Berlin Heidelberg

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Yang, XP. (2005). The Minimization of Axiom Sets Characterizing Generalized Fuzzy Rough Approximation Operators. In: Wang, L., Jin, Y. (eds) Fuzzy Systems and Knowledge Discovery. FSKD 2005. Lecture Notes in Computer Science(), vol 3613. Springer, Berlin, Heidelberg. https://doi.org/10.1007/11539506_164

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  • DOI: https://doi.org/10.1007/11539506_164

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-28312-6

  • Online ISBN: 978-3-540-31830-9

  • eBook Packages: Computer ScienceComputer Science (R0)

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