Mathematica Eterna
Open Access

Abstract

(L, ⊙)-fuzzy topologies induced by functions

Yong Chan Kim

H¨ohle and Sostak [6] introduced the notion of ( ˇ L, ⊙)-fuzzy topological spaces on a complete quasi-monoidal lattice (or GL-monoid) instead of a completely distributive lattice or an unit interval. H¨ohle and Sostak [6] introduced the concept of (L, ⊙)-filters for a complete quasi-monoidal lattice L. In this paper, we investigate the products of (L, ⊙)-fuzzy topologies and (L, ⊙)-filters induced by functions on strictly two-sided, commutative quantale lattices (L, ⊙) and (L, ∗). Furthermore, we study relations among LFcontinuous maps, filter convergence, (F x , ∗)-neighborhood filters and L-filter maps.