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(r,s)-Fuzzy F-open sets and (r,s)-fuzzy F-closed spaces

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  • Azab Abd-Allah, M.
  • El-Saady, Kamal
  • Ghareeb, A.

Abstract

In this paper, we introduce the concepts of (r,s)-fuzzy F-open and (r,s)-fuzzy F-closed sets in double fuzzy topological spaces. We used them to explain the notions of (r,s)-fuzzy F-closed spaces. Also, we give some characterization of (r,s)-fuzzy F-closeness in terms of fuzzy filterbasis.

Suggested Citation

  • Azab Abd-Allah, M. & El-Saady, Kamal & Ghareeb, A., 2009. "(r,s)-Fuzzy F-open sets and (r,s)-fuzzy F-closed spaces," Chaos, Solitons & Fractals, Elsevier, vol. 42(2), pages 649-656.
    • Handle: RePEc:eee:chsofr:v:42:y:2009:i:2:p:649-656
    DOI: 10.1016/j.chaos.2009.01.031
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    References listed on IDEAS

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    1. A. A. Ramadan & S. E. Abbas & A. A. Abd El-Latif, 2005. "Compactness in intuitionistic fuzzy topological spaces," International Journal of Mathematics and Mathematical Sciences, Hindawi, vol. 2005, pages 1-14, January.
    2. El Naschie, M.S., 2005. "From experimental quantum optics to quantum gravity via a fuzzy Kähler manifold," Chaos, Solitons & Fractals, Elsevier, vol. 25(5), pages 969-977.
    3. El Naschie, Mohamed Saladin, 2006. "The idealized quantum two-slit gedanken experiment revisited—Criticism and reinterpretation," Chaos, Solitons & Fractals, Elsevier, vol. 27(4), pages 843-849.
    4. Nozari, Kourosh & Fazlpour, Behnaz, 2007. "Some consequences of spacetime fuzziness," Chaos, Solitons & Fractals, Elsevier, vol. 34(2), pages 224-234.
    5. El Naschie, M.S., 2005. "The two-slit experiment as the foundation of E-infinity of high energy physics," Chaos, Solitons & Fractals, Elsevier, vol. 25(3), pages 509-514.
    6. Marek-Crnjac, L., 2007. "Fuzzy Kähler manifolds," Chaos, Solitons & Fractals, Elsevier, vol. 34(3), pages 677-681.
    7. El Naschie, M.S., 2006. "On two new fuzzy Kähler manifolds, Klein modular space and ’t Hooft holographic principles," Chaos, Solitons & Fractals, Elsevier, vol. 29(4), pages 876-881.
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    Cited by:

    1. Azab Abd-Allah, M. & El-Saady, Kamal & Ghareeb, A., 2009. "Rough intuitionistic fuzzy subgroup," Chaos, Solitons & Fractals, Elsevier, vol. 42(4), pages 2145-2153.

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