On Fuzzy ββ-I -open sets and Fuzzy ββ-I-continuous functions

In this paper, first of all we obtain some properties and characterizations of fuzzy ββ-I  -open sets. After that, we also define the notion of ββ-I  -closed sets and obtain some properties. Lastly, we introduce the notions of fuzzy ββ-I-continuity   with the help of fuzzy ββ-I-open sets to obtain decomposition of fuzzy continuity.