1Department of Mathematics, Thiruvalluvar University, Serkkdau, Vellore, Tamil Nadu632115, India
2Department of Mathematics, Thiruvalluvar University, Serkkdau, Vellore, Tamil Nadu632115, India
*Corresponding Author: G. Thangaraj, Professor and Head, Department of Mathematics, Thiruvalluvar University, Serkkdau, Vellore, Tamil Nadu 632115, India. E-mail: g.thangaraj@rediffmail.com
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.
Fuzzy dense set, fuzzy somewhere dense set, fuzzy resolvable set, fuzzy hyperconnected space, fuzzy globally disconnected space, fuzzy strongly irresolvable space, 54A40, 03E72
