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Generalized fuzzy filters of BL-algebras

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Abstract

The concept of quasi-coincidence of a fuzzy interval value with an interval valued fuzzy set is considered. In fact, this is a generalization of quasi-coincidence of a fuzzy point with a fuzzy set. By using this new idea, the notion of interval valued (∈, ∈ ∨q)-fuzzy filters in BL-algebras which is a generalization of fuzzy filters of BL-algebras, is defined, and related properties are investigated. In particular, the concept of a fuzzy subgroup with thresholds is extended to the concept of an interval valued fuzzy filter with thresholds in BL-algebras.

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Authors and Affiliations

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

    Ma Xueling & Zhan Jianming

  2. Dept. of Appl. Math., Southwest Jiaotong University, Chengdu, 610031, China

    Xu Yang

Authors
  1. Ma Xueling
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  2. Zhan Jianming
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  3. Xu Yang
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Corresponding author

Correspondence to Zhan Jianming.

Additional information

Supported by the National Natural Science Foundation of China (60474022) and a grant of the Key Science Foundation of Education Committee of Hubei Province (D200729003).

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Ma, X., Zhan, J. & Xu, Y. Generalized fuzzy filters of BL-algebras. Appl. Math.- J. Chin. Univ. 22, 490–496 (2007). https://doi.org/10.1007/s11766-007-0416-x

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  • DOI: https://doi.org/10.1007/s11766-007-0416-x

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