Uniform properties of normal and compact fuzzy topological spaces (Q1104590)

The main results are the fuzzy versions of the following well-known theorem: A completely regular space is normal iff the family of the finite open covers is a basis for a compatible uniformity and a completely regular compact space admits exactly one compatible uniformity. The proofs are technically based on the results of \textit{B. Hutton} [Topology Appl. 11, 59-67 (1980; Zbl 0422.54006)] and on the concepts introduced by the same authors in their previous paper [J. Math. Anal. Appl. 99, 320-337 (1984; Zbl 0558.54002)], of which this work is a natural continuation.