Folding Theory for Fantastic Filters in BL-Algebras

  • Authors:
  • Celestin Lele

  • Affiliations:
  • University of Dschang, Cameroon

  • Venue:
  • International Journal of Artificial Life Research
  • Year:
  • 2011

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Abstract

In this paper, the author examines the notion of n-fold fantastic and fuzzy n-fold fantastic filters in BL-algebras. Several characterizations of fuzzy n-fold fantastic filters are given. The author shows that every n-fold (fuzzy n-fold) fantastic filter is a filter (fuzzy filter), but the converse is not true. Using a level set of a fuzzy set in a BL-algebra, the author gives a characterization of fuzzy n-fold fantastic filters. Finally, the author establishes the extension property for n-fold and fuzzy n-fold fantastic filters in BL-algebras. The author also constructs some algorithms for folding theory applied to fantastic filters in BL-algebras.