Nasef, Arafa A.Hatir, E.2020-03-262020-03-2620090960-07791873-2887https://dx.doi.org/10.1016/j.chaos.2007.08.073https://hdl.handle.net/20.500.12395/23714Recently, 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 introduce and study the notion of fuzzy pre-I-open sets, which is properly placed between fuzzy openness and fuzzy pre-openness regardless the fuzzy topological ideal. Moreover, we give a decomposition of fuzzy I-continuity by proving that a function f: (X, tau, I) -> (Y, sigma) is fuzzy I-continuous if and only if it is fuzzy pre-I-continuous and fuzzy *-I-coiltinuous. (C) 2009 Published by Elsevier Ltd.en10.1016/j.chaos.2007.08.073info:eu-repo/semantics/closedAccessArticle40311851189Q1WOS:000266418000017Q1