Fuzzy Lindelof Closed Spaces and their Operations

In this paper, we investigate two new spaces an Lindelof closed space and a fuzzy Lindelof closed space, the main purpose of this work is to study the relation between fuzzy Lindelof closed and other spaces such as fuzzy Lindelof, fuzzy lightly compact, fuzzy semi regular, CII , fuzzy paracompact, fuzzy separable, and others. Also In this paper we show that a fuzzy topological space X is fuzzy Lindelof closed space if for every net{K n , n ∈D of fuzzy closed sets in X such that F − limsupD (k n ) = 0 , there exists n0 ∈ for which k n = 0 , for every n ∈ D,n ≥ n0 . Also we show that X is fuzzy Lindel of closed space if for every α ∈ I , for every net {Kn ,n ∈ D} of fuzzy closed sets in X such that F and for every − limsup D (Kn) = 1−α and for everyε ∈ (0, α], there exists an element D n0 ∈ for which ≤ 1−α + ε , for every n ∈ D,n ≥ n .