© Hindawi Publishing Corp. FUZZY cγ-OPEN SETS AND FUZZY cγ-CONTINUITY IN FUZZIFYING TOPOLOGY

The concepts of fuzzy cγ-open sets and fuzzy cγ-continuity are introduced and studied in fuzzifying topology and by making use of these concepts, some decompositions of fuzzy continuity are introduced. 2000 Mathematics Subject Classification: 54A40, 54C08. 1. Introduction. In [8, 9, 10], Ying introduced the concept of fuzzifying topology with the semantic method of continuous valued logic. All the conventions in [8, 9, 10] are good in this paper. Andrijevíc [3] introduced the concepts of b-open sets in general topology. We note that the concepts of γ-open sets and γ-continuity are considered by Hanafy [4] to fuzzy topology. In [7], the concepts of fuzzy γ-open sets and fuzz