On fuzzy a-I-continuous and fuzzy a-I-open functions

Recently, El-Naschie has shown that the notion of fuzzy topology may be relevant to quantum particle physics in connection with string theory and E-infinity space time theory. In this paper, we study the concepts of fuzzy a-I-continuity and fuzzy a-I-openness in fuzzy ideal topological spaces, and obtain several characterizations and some properties of these functions. Also, we investigate their relationship with other types of functions.