FUZZY IRRESOLVABLE SETS AND FUZZY OPEN HEREDITARILY IRRESOLVABLE SPACES

Abstract

In this paper, several characterizations of fuzzy irresolvable sets in fuzzy topological spaces are established. The existence of fuzzy regular closed sets and fuzzy regular open sets in fuzzy topological spaces is established by means of fuzzy irresolvable sets. By means of fuzzy resolvable and irresolvable sets, the notions of fuzzy hereditarily irresolvable spaces and fuzzy open hereditarily irresolvable spaces are introduced and studied.