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On \((\bar\in,\bar\in\vee \bar q)\)-Fuzzy Filters of Residuated Lattices

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Quantitative Logic and Soft Computing 2010

Part of the book series: Advances in Intelligent and Soft Computing ((AINSC,volume 82))

Abstract

The aim of this paper is to develop further the fuzzy filter theory of general residuated lattices. Mainly, we introduce the concept of \((\bar\in,\bar\in\vee \bar q)\)- fuzzy regular filters in general residuated lattices, and derive some of their characterizations. Moreover, we discuss some relations between \((\bar\in,\bar\in\vee \bar q)\)- fuzzy regular filters and several other special \((\bar\in,\bar\in\vee \bar q)\)-fuzzy filters.

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Author information

Authors and Affiliations

  1. Division of Basic Sci., Guangzhou Maritime Univ., Guangzhou, 510725, China

    Yi-quan Zhu

  2. Dept of Math., Hubei Institute for Nationalities, Enshi, 445000, Hubei, China

    Jian-ming Zhan

  3. Dept of Math. Education, Gyeongsang National Univ., Chinju, 660-701, Korea

    Young Bae Jun

Authors
  1. Yi-quan Zhu
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  2. Jian-ming Zhan
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  3. Young Bae Jun
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Editor information

Editors and Affiliations

  1. Guangzhou University, Guangdong, China

    Bing-yuan Cao

  2. Shaanxi Normal University, Xi’an, China

    Guo-jun Wang

  3. Jimei University, Fujian, China

    Shui-li Chen

  4. Liaoning Technical University, Fuxing, China

    Si-zong Guo

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© 2010 Springer-Verlag Berlin Heidelberg

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Zhu, Yq., Zhan, Jm., Jun, Y.B. (2010). On \((\bar\in,\bar\in\vee \bar q)\)-Fuzzy Filters of Residuated Lattices. In: Cao, By., Wang, Gj., Chen, Sl., Guo, Sz. (eds) Quantitative Logic and Soft Computing 2010. Advances in Intelligent and Soft Computing, vol 82. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-15660-1_64

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  • DOI: https://doi.org/10.1007/978-3-642-15660-1_64

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-642-15659-5

  • Online ISBN: 978-3-642-15660-1

  • eBook Packages: EngineeringEngineering (R0)

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