Some Remarks on Fuzzy <i>R</i><sub>0</sub>, <i>R</i><sub>1</sub> and <i>Regular</i> Topological Spaces
DOI:
https://doi.org/10.3329/jsr.v4i2.6663Keywords:
Fuzzy Topological Space, Fuzzy R0-axiom, Fuzzy R1-axiom, Fuzzy regular axiom.Abstract
In this paper, five regular-axioms, eighteen -axioms and nine -axioms for fuzzy topological spaces are recalled. A complete answer is given with regard to all possible -type implications for fuzzy topological spaces. It is also shown that, though the regular-axiom implies -axiom in general topological spaces, this is not true for fuzzy topological spaces, in general.
Keywords: Fuzzy Topological Space; Fuzzy -axiom; Fuzzy -axiom; Fuzzy regular axiom.
© 2012 JSR Publications. ISSN: 2070-0237 (Print); 2070-0245 (Online). All rights reserved.
doi: http://dx.doi.org/10.3329/jsr.v4i2.6663 J. Sci. Res. 4 (2), 327-336 (2012)
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