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Fuzzy Ultra Filters and Fuzzy G-Filters of MTL-Algebras

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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

The concepts of fuzzy ultra filters and fuzzy G-filters of MTL-algebras are introduced. Some examples are given and the following main results are proved: (1) a fuzzy filter of MTL-algebra is fuzzy ultra filter if and only if it is both a fuzzy prime filter and fuzzy Boolean filter; (2) a fuzzy filter of MTL-algebra is fuzzy Boolean filter if and only if it is both a fuzzy G-filter and fuzzy MV-filter.

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Author information

Authors and Affiliations

  1. Faculty of Science, Ningbo University, Ningbo, 315211, Zhejiang Province, P.R.China

    Xiao-hong Zhang

  2. Information Technology Center, East China University of Politics and Law, Shanghai, 200042, P.R.China

    Yong-quan Wang

  3. Department of Mathematics, Nanping Teachers College, Nanping, 353000, P.R.China

    Yong-lin Liu

Authors
  1. Xiao-hong Zhang
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  2. Yong-quan Wang
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  3. Yong-lin Liu
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Editor information

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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Zhang, Xh., Wang, Yq., Liu, Yl. (2005). Fuzzy Ultra Filters and Fuzzy G-Filters of MTL-Algebras. 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_20

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  • DOI: https://doi.org/10.1007/11539506_20

  • 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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