Convergence Classes of L-Filters in L,M-Fuzzy Topological Spaces

Convergence Classes of L-Filters in L,M-Fuzzy Topological Spaces

Blog Article

An L,M-fuzzy topological convergence structure on a set X is a mapping which defines a degree in M for any L-filter (of crisp degree) on X to be convergent vibrating-nipple-toys to a molecule in LX.By means of L,M-fuzzy topological neighborhood operators, we show that the category of L,M-fuzzy topological convergence spaces is isomorphic to the Cosmetics Bag category of L,M-fuzzy topological spaces.Moreover, two characterizations of L-topological spaces are presented and the relationship with other convergence spaces is concretely constructed.