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http://dx.doi.org/10.5391/IJFIS.2009.9.2.083

Decomposition of fuzzy ideal continuity via fuzzy idealization  

Zahran, Ahmed M. (Department of Mathematics, Faculty of Science, Al-Azhar University)
El-Baki, S. Ahmed Abd (Department of Mathematics, Faculty of Science, Assiut University)
Saber, Yaser Mohammed (Department of Mathematics, Faculty of Science, Al-Azhar University)
Publication Information
International Journal of Fuzzy Logic and Intelligent Systems / v.9, no.2, 2009 , pp. 83-93 More about this Journal
Abstract
Recently, El-Naschie has shown that the notion of fuzzy topology may be relevant to quantum paretical physics in connection with string theory and E-infinity space time theory. In this paper, we study the concepts of r-fuzzy semi-I-open, r-fuzzy pre-I-open, r-fuzzy $\alpha$-I-open and r-fuzzy $\beta$-I-open sets, which is properly placed between r-fuzzy openness and r-fuzzy $\alpha$-I-openness (r-fuzzy pre-I-openness) sets regardless the fuzzy ideal topological space in Sostak sense. Moreover, we give a decomposition of fuzzy continuity, fuzzy ideal continuity and fuzzy ideal $\alpha$-continuity, and obtain several characterization and some properties of these functions. Also, we investigate their relationship with other types of function.
Keywords
r-fuzzy semi-I-open; r-fuzzy pre-I-open; r-fuzzy $\alpha$-I-open and r-fuzzy $\beta$-I-open sets; fuzzy ideal continuity and fuzzy ideal $\alpha$-continuity;
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