(<i>L</i>,⊙)-Fuzzy (<i>K</i>,<i>E</i>)-Soft Filter

Abstract

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

Keywords

• strictly two-sided commutative quantale lattice
• (<i>L</i>,⊙)-fuzzy (<i>K</i>,<i>E</i>)-soft filter
• (<i>L</i>,⊙)-fuzzy (<i>K</i>,<i>E</i>)-soft topology)