Some fuzzy topological operators via fuzzy ideals

Fuzzy ideals, fuzzy local function and the notion of compatibility of fuzzy ideals with fuzzy topologies were introduced and studied by D. Sarker (Fuzzy Sets and Systems 87 (1997) 117). The purpose of this paper deals with new sort of fuzzy local function namely fuzzy α-local function. Many of its characterizations, properties and connections between it and other corresponding fuzzy notions are studied. Also we introduce and study two types of fuzzy compatibility namely fuzzy α-compatibility and fuzzy weak α-compatibility of fuzzy topologies via fuzzy ideals. Possible application to superstrings and E(∞) space-time are touched upon. © 2001 Elsevier Science Ltd.