Separation axioms for fuzzy spaces

Abstract Using the concepts of fuzzy points as introduced by Wong [15] and of ‘belonging to’ as introduced by R. Srivastava, S.N. Lal and A.K. Srivastava [13], we introduce several notions of fuzzy separation axioms and examine their productivity. Relations between these axioms have been observed. We also introduce four types of separated fuzzy sets and clarify some relations between them.