On Some R1-Properties in Fuzzy Topological Spaces

Authors

  • D. M. Ali Department of Mathematics, University of Rajshahi, Rajshahi-6205,Bangladesh.
  • F. A. Azam Institute of Natural Sciences, United International University, Dhaka-1209, Bangladesh.

Keywords:

Fuzzy Topological Space, Fuzzy R1-axiom, Fuzzy R0-axiom

Abstract

In this paper, we introduce six R1-axioms for fuzzy topological spaces (in short, fts). We study their interrelations, goodness and initialities. Besides we recall nine R0-axioms for fts. A complete answer is given with regard to all possible (R1=>R0)-type implications for fts.

Keywords: Fuzzy topological space; Fuzzy R1-axiom; Fuzzy R0-axiom.

© 2012 JSR Publications. ISSN: 2070-0237 (Print); 2070-0245 (Online). All rights reserved.

doi:10.3329/jsr.v4i1.7044               J. Sci. Res. 4 (1), 21-32  (2012)

 

Abstract
277
PDF
367

Downloads

Published

2011-12-23

How to Cite

On Some R1-Properties in Fuzzy Topological Spaces. (2011). Journal of Scientific Research, 4(1), 21. https://doi.org/10.3329/jsr.v4i1.7044

Issue

Vol. 4 No. 1 (2012)

Section

Section A: Physical and Mathematical Sciences

License

© Journal of Scientific Research

Creative Commons License

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.

How to Cite

On Some R1-Properties in Fuzzy Topological Spaces. (2011). Journal of Scientific Research, 4(1), 21. https://doi.org/10.3329/jsr.v4i1.7044