an:04040792
Zbl 0638.54007
??ostak, A. P.
On a fuzzy topological structure
EN
Rend. Circ. Mat. Palermo, II. Ser. Suppl. 11, 89-103 (1985).
00269119
1985
j
54A40 54B30
generalization of fuzzy topology
The author introduces a generalization of fuzzy topology and relates it to previously studied notions through the categorical framework introduced by \textit{S. E. Rodabaugh} [Fuzzy Sets Syst. 9, 241-265 (1983; Zbl 0527.54005)]. The author's structures are fuzzy subsets of I X instead of the crisp subcollections usually studied. He develops a category of such structures and introduces several functors - for example, a generalization of Lowen's \(\omega\) construction. Lastly, he defines a degree of compactness, announces several results without proof, and states a related unsolved problem.
A.J.Klein
Zbl 0527.54005