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Int-soft implicative filters in BE-algebras. (English) Zbl 1325.06013

Summary: The notion of int-soft implicative filters of a BE-algebra is introduced, and related properties are investigated. The problem of classifying int-soft implicative by their \(\gamma\)-inclusive filter is solved. Also, as a generalization of int-soft implicative filters, the foldness of int-soft implicative filters are considered. Characterizations of int-soft (\(n\)-fold) implicative filters are discussed.

MSC:

06F35 BCK-algebras, BCI-algebras
03G25 Other algebras related to logic
06D72 Fuzzy lattices (soft algebras) and related topics