Some Remarks on Fuzzy R0, R1 and Regular Topological Spaces
Keywords:
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)
311
303
Downloads
Published
How to Cite
Issue
Section
License
© Journal of Scientific Research
Articles published in the "Journal of Scientific Research" are Open Access articles under a Creative Commons Attribution-ShareAlike 4.0 International license (CC BY-SA 4.0). This license permits use, distribution and reproduction in any medium, provided the original work is properly cited and initial publication in this journal. In addition to that, users must provide a link to the license, indicate if changes are made and distribute using the same license as original if the original content has been remixed, transformed or built upon.
