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Fuzzy gb- Continuous Maps in Fuzzy Topological Spaces

by S. S. Benchalli, Jenifer J.Karnel
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International Journal of Computer Applications
Foundation of Computer Science (FCS), NY, USA
Volume 19 - Number 1
Year of Publication: 2011
Authors: S. S. Benchalli, Jenifer J.Karnel
10.5120/2325-3019

S. S. Benchalli, Jenifer J.Karnel . Fuzzy gb- Continuous Maps in Fuzzy Topological Spaces. International Journal of Computer Applications. 19, 1 ( April 2011), 24-29. DOI=10.5120/2325-3019

@article{ 10.5120/2325-3019,
author = { S. S. Benchalli, Jenifer J.Karnel },
title = { Fuzzy gb- Continuous Maps in Fuzzy Topological Spaces },
journal = { International Journal of Computer Applications },
issue_date = { April 2011 },
volume = { 19 },
number = { 1 },
month = { April },
year = { 2011 },
issn = { 0975-8887 },
pages = { 24-29 },
numpages = {9},
url = { https://ijcaonline.org/archives/volume19/number1/2325-3019/ },
doi = { 10.5120/2325-3019 },
publisher = {Foundation of Computer Science (FCS), NY, USA},
address = {New York, USA}
}
%0 Journal Article
%1 2024-02-06T20:05:52.422726+05:30
%A S. S. Benchalli
%A Jenifer J.Karnel
%T Fuzzy gb- Continuous Maps in Fuzzy Topological Spaces
%J International Journal of Computer Applications
%@ 0975-8887
%V 19
%N 1
%P 24-29
%D 2011
%I Foundation of Computer Science (FCS), NY, USA
Abstract

The purpose of this paper is to introduce a new form of generalized mapping namely fgb-continuous, fgb-irresolute mappings, fgb-closed maps, fgb-open and fgb*-open maps in fuzzy topological spaces. Some of their properties and characterization have been proved. As an application of these generalized fuzzy sets, fuzzy gbT1/2-space , fgb-homeomorphism and fgb*-homeomorphism are introduced and discussed in detail.

References
  1. D.Andrijevic,On b-open sets, Mat.vesnik 48 (1996),59-64.
  2. G. Balasubramanian and P.Sundaram, On some generalizations of fuzzy continuous, Fuzzy Sets and Systems, 86 (1997), 93-100.
  3. S.S.Benchalli and Jenifer Karnel, On Fuzzy b-open sets in Fuzzy Topological Space J.Computer and Mathematical Sciences 1(2010),127-134.
  4. S.S.Benchalli and Jenifer Karnel, On Fuzzy b-neighbourhoods and Fuzzy b-mappings in Fuzzy Topological Space, J.Computer and Mathematical Sciences 1(6),(2010),696-701.
  5. S.S.Benchalli and Jenifer Karnel, Weaker and stronger forms of fuzzy b-irresolute maps, Int. J. Math., Anal.,(communicated).
  6. S.S.Benchalli and Jenifer Karnel, On fbg-closed sets and fb-seperation Axioms in Fuzzy Topological Spaces, (communicated).
  7. C.L.Chang, Fuzzy topological spaces, J. Math. Anal. Appl. (1968), 182-190.
  8. Pao-Ming Pu and Ying- Ming Liu, Fuzzy Topology- I.Neighborhood structure of fuzzy point and Moore-smith convergence, J. Math.Anal.Appl. 6 (1980) 571-599.
  9. L.A.Zadeh, Fuzzy sets, Inform.Contr. 8(1965) 338-353.
Index Terms

Computer Science
Information Sciences

Keywords

Fgb-closed sets fgb-neighbourhood fgbq-neighbourhood fgb-continuous fgb-irresolute mappings fgb-closed maps fgb*-open maps fuzzy gbT1/2-space fgb-homeomorphism fgb*-homeomorphism

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