Spaces with weak fuzzy topology (Q1286983)

The author considers spaces which have the weak fuzzy topology with respect to a given family of fuzzy topologized subsets. This means, a fuzzy set is closed if and only if its restriction to each of these subsets is a fuzzy closed set. In Section 2, the author considers general properties and in Section 3 he considers fuzzy-\(k\)-spaces (spaces with the weak fuzzy topology by their fuzzy compact sets) and some of their properties.