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    On fuzzy pre-I-open sets and a decomposition of fuzzy I-continuity
    (PERGAMON-ELSEVIER SCIENCE LTD, 2009) Nasef, Arafa A.; Hatir, E.
    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 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.