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Compactness in intuitionistic fuzzy topological spaces

Author

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  • A. A. Ramadan
  • S. E. Abbas
  • A. A. Abd El-Latif

Abstract

We introduce fuzzy almost continuous mapping, fuzzy weakly continuous mapping, fuzzy compactness, fuzzy almost compactness, and fuzzy near compactness in intuitionistic fuzzy topological space in view of the definition of Šostak, and study some of their properties. Also, we investigate the behavior of fuzzy compactness under several types of fuzzy continuous mappings.

Suggested Citation

  • 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.
    • Handle: RePEc:hin:jijmms:819825
    DOI: 10.1155/IJMMS.2005.19
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    Cited by:

    1. 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.
    2. Mursaleen, M. & Danish Lohani, Q.M., 2009. "Baire’s and Cantor’s theorems in intuitionistic fuzzy 2-metric spaces," Chaos, Solitons & Fractals, Elsevier, vol. 42(4), pages 2254-2259.

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