Fuzzy sets and functions on fuzzy spaces
The author uses fuzzy points and quasi-coincidence to characterize fuzzy semi-regular and fuzzy regular spaces as defined by \textit{K. K. Azad} [J. Math. Anal. Appl. 82, 14-32 (1981; Zbl 0511.54006)]. For example, X is fuzzy regular if and only if every \(p\in X\) has a Q-neighborhood base of fuzzy closed sets. Several characterizations of fuzzy semi-continuity, fuzzy weak continuity, and fuzzy almost continuity are also derived. Lastly, these concepts are related to fuzzy versions of Urysohn spaces, Wilansky almost openness, and Hussian almost continuity.
scientific article; zbMATH DE number 4042800
scientific article