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

In this paper, first of all we obtain some properties and characterizations of fuzzy beta-I-open sets. After that, we also define the notion of beta-I-closed sets and obtain some properties. Lastly, we introduce the notions of fuzzy beta-I-continuity with the help of fuzzy beta-I-open sets to obtain decomposition of fuzzy continuity. (C) 2009 Elsevier Ltd. All rights reserved.