Strong and ultra separation axioms on L-fuzzy topological spaces

摘要

Given an L-fuzzy topological space (X,δ), we introduce new notions of L-fuzzy separation axioms, using the family of its level topology: {iα(δ):α∈Pr(L)}. We check that these are well-defined L-fuzzy topological concepts and we compare them with the analogous L-fuzzy ones introduced in the literature. We verify that these notations are not equivalent, and we give many examples which illustrate this fact. Furthermore, some results concerning the new concepts have been established.