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On Fuzzy Ideals in BCH-Algebras

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Fuzzy Information and Engineering

Part of the book series: Advances in Soft Computing ((AINSC,volume 40))

Abstract

The aim of this paper is to introduce the notions of fuzzy quasi-associative ideal and other fuzzy ideals of BCH-algebras and to investigate their properties. We give several characterizations of quasi-associative fuzzy ideals and closed fuzzy ideals. The relations among various fuzzy ideals are discussed as well. Finally, we characterize quasi-associative BCH-algebras via fuzzy ideals.

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Authors and Affiliations

  1. Department of Mathematics, Shaanxi University of Technology, Hanzhong 723000,  

    Feng-xiao Wang

Authors
  1. Feng-xiao Wang
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Bing-Yuan Cao

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© 2007 Springer-Verlag Berlin Heidelberg

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Wang, Fx. (2007). On Fuzzy Ideals in BCH-Algebras. In: Cao, BY. (eds) Fuzzy Information and Engineering. Advances in Soft Computing, vol 40. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-540-71441-5_21

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  • DOI: https://doi.org/10.1007/978-3-540-71441-5_21

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-71440-8

  • Online ISBN: 978-3-540-71441-5

  • eBook Packages: EngineeringEngineering (R0)

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