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Ordered L-fuzzy Gd-extremally disconnected spaces and tietze extension theorem

  • Roja, E. [2] ; Uma, M. K. [2] ; Balasubramanian, G. [1]
    1. [1] Periyar University

      Periyar University

      India

    2. [2] Sri Sarada College for Women.
  • Localización: Proyecciones: Journal of Mathematics, ISSN 0716-0917, ISSN-e 0717-6279, Vol. 27, Nº. 3, 2008, págs. 237-248
  • Idioma: inglés
  • DOI: 10.4067/S0716-09172008000300002
  • Enlaces
  • Resumen
    • In this paper we introduce a new class of fuzzy topological spaces called ordered L-fuzzy Gd-extremally disconnected spaces. Besides giving several characterizations and some interesting properties of these spaces, we also establish Tietze extension theorem.

  • Referencias bibliográficas
    • Citas [1] G. Balasubramanian, On ordered L-fuzzy bitopological spaces, The Journal of Fuzzy Mathematics, Vol. 8, No.1, (2000).
    • [2] G. Birkhoff, Lattice theory, Amer. Math. Soc. Colloq. Publ. 25 Amer. Math. Soc. Providence, R. I., (1973).
    • [3] U. Hoehle, Characterization of L-topologies by L-valued neighbourhoods, in [5], pp. 389-432.
    • [4] A. K. Katsaras, Ordered fuzzy topological spaces, J. Math. Anal. Appl. 84, pp. 44-58, (1981).
    • [5] S. E. Rodabaugh, Normality and the L-fuzzy unit interval, Abstracts Amer. Math. Soc. 1, 126, (1980).
    • [6] S. E. Rodabaugh, Fuzzy addition in the L-fuzzy real line, Fuzzy sets and systems 8, pp. 39-52, (1982).
    • [7] G.Thangaraj and G.Balasubramanian, On fuzzy basically disconnected spaces, The journal of fuzzy mathematics, Vol. 9, No. 1, pp. 103-110,...
    • [8] Tomasz Kubiak, L-fuzzy normal spaces and Tietze extension theorem, J. Math. Anal. Appl., Vol. 125, No.1, (1987).
    • [9] L. A. Zadeh, Fuzzy Sets, Information and control 8, pp. 338-353, (1965).

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