The countability of induced R(L)-fuzzy topological spaces

摘要

In this paper, We prove that that the weight, character, density and Lindelöf degree of(LX, δ) are equal with those of (R(L)X, ω(δ)), and that (LX, δ) is a Lindelöf space if and only if (R(L)X, ω(δ)) is a Lindelöf space. We also compare (LX, δ) and (R(L)X, ω(δ)) in respects of dense set.