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The relation between the GTi-spaces and fuzzy proximity spaces, G-compact spaces, fuzzy uniform spaces, Journal of Chaos, Solitons and Fractals 20 (2004) 955 – 966.
• 2004
Publication Information
Authors
F. Bayoumi and Ismail Ibedou
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publication.type
Local
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Abstract
In this paper, we study the relation between the fuzzy separation axioms, which had been
introduced by the authors in 2001, and the fuzzy proximity defined by Katsaras in 1980. We study
also the relation between our fuzzy separation axioms and the G-compactness defined by G¨ahler
in 1995. Moreover, we show here the relation between these fuzzy separation axioms and the fuzzy
uniform structures introduced and studied by G¨ahler and the first author in 1998.
Keywords: Fuzzy filters; Fuzzy neighborhood filters; GTi-separation axioms; GTi-spaces; Fuzzy
proximity spaces; G-compact spaces; Fuzzy uniform spaces; Separated fuzzy uniform spaces.
introduced by the authors in 2001, and the fuzzy proximity defined by Katsaras in 1980. We study
also the relation between our fuzzy separation axioms and the G-compactness defined by G¨ahler
in 1995. Moreover, we show here the relation between these fuzzy separation axioms and the fuzzy
uniform structures introduced and studied by G¨ahler and the first author in 1998.
Keywords: Fuzzy filters; Fuzzy neighborhood filters; GTi-separation axioms; GTi-spaces; Fuzzy
proximity spaces; G-compact spaces; Fuzzy uniform spaces; Separated fuzzy uniform spaces.