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On (\(\in, \in \vee q\))-Fuzzy Filters of BL-Algebras

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Abstract

The authors introduce the notions of (\(\in, \in \vee q\))-fuzzy Boolean (implicative, positive implicative, and fantastic) filters in BL-algebras, present some characterizations on these generalized fuzzy filters, and describe the relations among these generalized fuzzy filters. It is proved that an (\(\in, \in \vee q\))-fuzzy filter in a BL-algebra is Boolean (implicative) if and only if it is both positive implicative and fantastic.

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Authors and Affiliations

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

    Xueling Ma & Jianming Zhan

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  1. Xueling Ma
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  2. Jianming Zhan
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Correspondence to Jianming Zhan.

Additional information

This research is supported by the Key Science Foundation of Education Committee of Hubei Province, China, under Grant No. D200729003.

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Ma, X., Zhan, J. On (\(\in, \in \vee q\))-Fuzzy Filters of BL-Algebras. J. Syst. Sci. Complex. 21, 144–158 (2008). https://doi.org/10.1007/s11424-008-9073-2

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  • DOI: https://doi.org/10.1007/s11424-008-9073-2

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