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Fuzzy prime and maximal filters of residuated lattices

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Abstract

In this paper, given a residuated lattice M and a lattice L, we introduce the notions of L-fuzzy filter of M, L-fuzzy prime (and maximal) filter of M and give some characterizations of theses notions.

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Acknowledgments

We thank the referee for the helpful comments that allow us to improve the quality of the work.

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Authors and Affiliations

  1. Department of Mathematics, University of Yaounde 1, P.O. Box 812, Yaounde, Cameroon

    Albert Kadji & Marcel Tonga

  2. Department of Mathematics, University of Dschang, P.O. Box 67, Dschang, Cameroon

    Celestin Lele

Authors
  1. Albert Kadji
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  2. Celestin Lele
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  3. Marcel Tonga
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Corresponding author

Correspondence to Marcel Tonga.

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The authors declare that there is no conflict of interests regarding the publication of this work

Additional information

Communicated by A. Di Nola.

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Kadji, A., Lele, C. & Tonga, M. Fuzzy prime and maximal filters of residuated lattices. Soft Comput 21, 1913–1922 (2017). https://doi.org/10.1007/s00500-016-2113-2

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  • DOI: https://doi.org/10.1007/s00500-016-2113-2

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