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The Lower and Upper Approximations of Fuzzy Sets in a Fuzzy Group

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Advances in Soft Computing — AFSS 2002 (AFSS 2002)

Part of the book series: Lecture Notes in Computer Science ((LNAI,volume 2275))

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Abstract

In this paper we define the lower and upper approximations of fuzzy sets in a group with respect to a fuzzy normal subgroup and study their product properties. We introduce the notion of a rough fuzzy subgroup of a group with respect to a fuzzy normal subgroup and study the relation between the fuzzy subgroup and the rough fuzzy subgroup. We also study the homomorphic properties of the rough fuzzy subgroups.

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References

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Author information

Authors and Affiliations

  1. Department of Mathematics, Jinzhou Teacher’s College, 121003, Jinzhou, P.R. China

    Degang Chen

  2. Institute for Information and System Science, Faculty of Science, Xi’an Jiaotong University, 710049, Xi’an, Shaan’xi, P.R. China

    Degang Chen & Wenxiu Zhang

Authors
  1. Degang Chen
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  2. Wenxiu Zhang
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Editor information

Editors and Affiliations

  1. Electronics and Communication Sciences Unit, Indian Statistical Institute, 203 B.T. Road, 700108, Calcutta, India

    Nikhil R. Pal

  2. Brain Science Institute, RIKEN, 2-1 Hirosawa, Wako, Japan

    Michio Sugeno

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© 2002 Springer-Verlag Berlin Heidelberg

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Chen, D., Zhang, W. (2002). The Lower and Upper Approximations of Fuzzy Sets in a Fuzzy Group. In: Pal, N.R., Sugeno, M. (eds) Advances in Soft Computing — AFSS 2002. AFSS 2002. Lecture Notes in Computer Science(), vol 2275. Springer, Berlin, Heidelberg. https://doi.org/10.1007/3-540-45631-7_69

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  • DOI: https://doi.org/10.1007/3-540-45631-7_69

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-43150-3

  • Online ISBN: 978-3-540-45631-5

  • eBook Packages: Springer Book Archive

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