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Folding Theory for Fantastic Filters in BL-Algebras

Folding Theory for Fantastic Filters in BL-Algebras

Celestin Lele
Copyright: © 2011 |Volume: 2 |Issue: 4 |Pages: 11
ISSN: 1947-3087|EISSN: 1947-3079|EISBN13: 9781613505762|DOI: 10.4018/ijalr.2011100104
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MLA

Lele, Celestin. "Folding Theory for Fantastic Filters in BL-Algebras." IJALR vol.2, no.4 2011: pp.32-42. http://doi.org/10.4018/ijalr.2011100104

APA

Lele, C. (2011). Folding Theory for Fantastic Filters in BL-Algebras. International Journal of Artificial Life Research (IJALR), 2(4), 32-42. http://doi.org/10.4018/ijalr.2011100104

Chicago

Lele, Celestin. "Folding Theory for Fantastic Filters in BL-Algebras," International Journal of Artificial Life Research (IJALR) 2, no.4: 32-42. http://doi.org/10.4018/ijalr.2011100104

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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.

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