(L, ⊙)-Fuzzy (K, E)-Soft Filter

In the present study, we preface the notion of the (L, circle dot)-fuzzy (K, E)-soft filter and probe many of its characteristics. Using certain operations, we induce (L, circle dot)-fuzzy (K, E)-soft topologies from (L, circle dot)-fuzzy (K, E)-soft filters. Finally, we introduce the products of the (L, circle dot) -fuzzy (K, E)-soft filters and (L, circle dot)-fuzzy (K, E)-soft topologies on strictly two-sided commutative quantale lattices (L, circle dot) and (L, *).

Automated summary

In this study, the concept of (L, circle dot)-fuzzy (K, E)-soft filter is introduced and its characteristics are explored. By using specific operations, (L, circle dot)-fuzzy (K, E)-soft topologies are induced from (L, circle dot)-fuzzy (K, E)-soft filters. Furthermore, the products of (L, circle dot)-fuzzy (K, E)-soft filters and (L, circle dot)-fuzzy (K, E)-soft topologies are introduced on strictly two-sided commutative quantale lattices (L, circle dot) and (L, *).