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Baire’s and Cantor’s theorems in intuitionistic fuzzy 2-metric spaces

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  • Mursaleen, M.
  • Danish Lohani, Q.M.

Abstract

Recently, Mursaleen, Lohani and Mohiuddine [Chaos Solitons & Fractals (2009), accepted] have introduced the notions of intuitionistic fuzzy 2-metric space. In this paper, we study various topological properties and prove Baire’s Theorem and Cantor’s Intersection Theorem in this new setup.

Suggested Citation

  • 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.
    • Handle: RePEc:eee:chsofr:v:42:y:2009:i:4:p:2254-2259
    DOI: 10.1016/j.chaos.2009.03.134
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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. Mursaleen, M. & Lohani, Q.M. Danish & Mohiuddine, S.A., 2009. "Intuitionistic fuzzy 2-metric space and its completion," Chaos, Solitons & Fractals, Elsevier, vol. 42(2), pages 1258-1265.
    3. Saadati, Reza & Park, Jin Han, 2006. "On the intuitionistic fuzzy topological spaces," Chaos, Solitons & Fractals, Elsevier, vol. 27(2), pages 331-344.
    4. Mursaleen, M. & Danish Lohani, Q.M., 2009. "Intuitionistic fuzzy 2-normed space and some related concepts," Chaos, Solitons & Fractals, Elsevier, vol. 42(1), pages 224-234.
    5. El Naschie, M.S., 2006. "Fuzzy Dodecahedron topology and E-infinity spacetime as a model for quantum physics," Chaos, Solitons & Fractals, Elsevier, vol. 30(5), pages 1025-1033.
    6. 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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