Standard completeness of Hájek basic logic and decompositions of BL-chains
Soft Computing - A Fusion of Foundations, Methodologies and Applications
Some types of filters in BL algebras
Soft Computing - A Fusion of Foundations, Methodologies and Applications
Computational methods for study of foldness of H-ideals in BCI-algebras
Soft Computing - A Fusion of Foundations, Methodologies and Applications - Special issue (pp 315-357) "Ordered structures in many-valued logic"
Soft Computing - A Fusion of Foundations, Methodologies and Applications
Some types of generalized fuzzy filters of BL-algebras
Computers & Mathematics with Applications
Some kinds of View the -fuzzy filters of BL-algebras
Computers & Mathematics with Applications
Fuzzy Boolean and positive implicative filters of BL-algebras
Fuzzy Sets and Systems
Information Sciences: an International Journal
Folding Theory for Fantastic Filters in BL-Algebras
International Journal of Artificial Life Research
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In this paper, the authors study the notion of n-fold implicative and fuzzy n-fold implicative filters, which correspond to various sets of provable formulaes, in BL-algebras. Several characterizations of fuzzy n-fold implicative filters are given and the authors analyse some relationships with various n-fold and fuzzy n-fold filters in BL-algebras, while constructing some algorithms for studying the foldness of filters in BL-algebras. The authors describe the relation between fuzzy n-fold implicative filters and fuzzy (n+1)-fold implicative filters and establish the extension property for fuzzy n-fold implicative filters in BL-algebras.