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 |