Research Article

Fuzzy b- Compact and Fuzzy b-closed Spaces

by  S. S. Benchalli, Jenifer J.Karnel
journal cover
International Journal of Computer Applications
Foundation of Computer Science (FCS), NY, USA
Volume 18 - Issue 3
Published: March 2011
Authors: S. S. Benchalli, Jenifer J.Karnel
10.5120/2263-2911
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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 },
                        year    = { 2011 },
                        volume  = { 18 },
                        number  = { 3 },
                        pages   = { 26-29 },
                        doi     = { 10.5120/2263-2911 },
                        publisher = { Foundation of Computer Science (FCS), NY, USA }
                        }
                        %0 Journal Article
                        %D 2011
                        %A S. S. Benchalli
                        %A Jenifer J.Karnel
                        %T Fuzzy b- Compact and Fuzzy b-closed Spaces%T 
                        %J International Journal of Computer Applications
                        %V 18
                        %N 3
                        %P 26-29
                        %R 10.5120/2263-2911
                        %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
  • S.S.BENCHALLI and JENIFER KARNEL, On Fuzzy b-open sets in Fuzzy Topological Space J.Computer and Mathematical Sciences 1(2010),127-134.
  • 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.
  • S.S.BENCHALLI and JENIFER KARNEL,On fbg-closed sets and fb-seperation axioms in fuzzy topological spaces,(communicated)
  • C.L.Chang, Fuzzy topological spaces, J. Math. Analysis Appl. 24 (1968), 182-190.
  • S.GANGULY and S. SAHA,, A note on Compactness in fuzzy topological spaces, Fuzzy Sets and Systems, 34,1990,117-124.,
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Index Terms
Computer Science
Information Sciences
No index terms available.
Keywords

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

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