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General types of \(({\in,}\,{\in}\,{\vee}\,{\rm q})\)-fuzzy filters in BL-algebras

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Abstract

As a generalization of an \(({\in,}\,{\in}\,{\vee}\, \hbox{q})\)-fuzzy filter in a BL-algebra, the notion of an \(({\in,}\,{\in}\,{\vee}\,\hbox{q}_k)\)-fuzzy filter in a BL-algebra is introduced, and related properties are investigated. Characterizations of an \(({\in,}\,{\in\,\vee}\,\hbox{q}_k)\)-fuzzy filter are considered. The implication-based fuzzy filters of a BL-algebra are discussed.

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Acknowledgments

The authors are very grateful to referees for their valuable comments and suggestions for improving this paper.

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Authors and Affiliations

  1. Department of Mathematics Education (and RINS), Gyeongsang National University, Chinju, 660-701, Korea

    Young Bae Jun

  2. Department of Mathematics Education, Silla University, Pusan, 617-736, Korea

    Yong Uk Cho

  3. Department of Mathematics Education, Chinju National University of Education, Chinju, 660-756, Korea

    Eun Hwan Roh

  4. Department of Mathematics, Hubei Institute for Nationalities, Enshi, Hubei Province, 445000, China

    Jianming Zhan

Authors
  1. Young Bae Jun
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  2. Yong Uk Cho
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  3. Eun Hwan Roh
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  4. Jianming Zhan
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Correspondence to Eun Hwan Roh.

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Jun, Y.B., Cho, Y.U., Roh, E.H. et al. General types of \(({\in,}\,{\in}\,{\vee}\,{\rm q})\)-fuzzy filters in BL-algebras. Neural Comput & Applic 20, 335–343 (2011). https://doi.org/10.1007/s00521-010-0379-3

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  • DOI: https://doi.org/10.1007/s00521-010-0379-3

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