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Fuzzy b- Compact and Fuzzy b-closed 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 18 - Number 3
Year of Publication: 2011
Authors: S. S. Benchalli, Jenifer J.Karnel
10.5120/2263-2911

S. S. Benchalli, Jenifer J.Karnel . Fuzzy b- Compact and Fuzzy b-closed Spaces. International Journal of Computer Applications. 18, 3 ( March 2011), 26-29. DOI=10.5120/2263-2911

@article{ 10.5120/2263-2911,
author = { S. S. Benchalli, Jenifer J.Karnel },
title = { Fuzzy b- Compact and Fuzzy b-closed Spaces },
journal = { International Journal of Computer Applications },
issue_date = { March 2011 },
volume = { 18 },
number = { 3 },
month = { March },
year = { 2011 },
issn = { 0975-8887 },
pages = { 26-29 },
numpages = {9},
url = { https://ijcaonline.org/archives/volume18/number3/2263-2911/ },
doi = { 10.5120/2263-2911 },
publisher = {Foundation of Computer Science (FCS), NY, USA},
address = {New York, USA}
}
%0 Journal Article
%1 2024-02-06T20:05:21.879834+05:30
%A S. S. Benchalli
%A Jenifer J.Karnel
%T Fuzzy b- Compact and Fuzzy b-closed Spaces
%J International Journal of Computer Applications
%@ 0975-8887
%V 18
%N 3
%P 26-29
%D 2011
%I Foundation of Computer Science (FCS), NY, USA
Abstract

A new form of fuzzy compact spaces namely fuzzy b-compact spaces ,b-closed spaces and fbg-compact spaces with the concept of fuzzy b-open set are introduced.Some characterization on their properties are obtained.The invariance of fuzzy b-compact spaces, b-closed spaces and fbg-compact spaces under fuzzy mapping and their heriditary property are also investigated.

References
  1. S.S.BENCHALLI and JENIFER KARNEL, On Fuzzy b-open sets in Fuzzy Topological Space J.Computer and Mathematical Sciences 1(2010),127-134.
  2. 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.
  3. S.S.BENCHALLI and JENIFER KARNEL,On fbg-closed sets and fb-seperation axioms in fuzzy topological spaces,(communicated)
  4. C.L.Chang, Fuzzy topological spaces, J. Math. Analysis Appl. 24 (1968), 182-190.
  5. S.GANGULY and S. SAHA,, A note on Compactness in fuzzy topological spaces, Fuzzy Sets and Systems, 34,1990,117-124.,
  6. 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.
  7. L.A.ZADEH, Fuzzy sets, Inform.Contr. 8(1965) 338-353.
Index Terms

Computer Science
Information Sciences

Keywords

Fuzzy b-Compactness fuzzy b-closed spaces fbg-compact spaces fuzzy topological space

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