Ordered L-fuzzy Gd-extremally disconnected spaces and tietze extension theorem
DOI:
https://doi.org/10.4067/S0716-09172008000300002Keywords:
Ordered L-fuzzy Gd-extremally disconnected space increasing L-fuzzy Gd, -continuous, lower (upper) fuzzy Gd-continuous, increasing (decreasing) L-fuzzy closure and increasing (decreasing) L-fuzzy interior, espacios ordenados L-difusos Gd-desconectados.Abstract
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.References
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[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, (2001).
[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).
Published
2017-04-06
How to Cite
[1]
E. Roja, M. K. Uma, and G. Balasubramanian, “Ordered L-fuzzy Gd-extremally disconnected spaces and tietze extension theorem”, Proyecciones (Antofagasta, On line), vol. 27, no. 3, pp. 237-248, Apr. 2017.
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