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

Authors

  • E. Roja Sri Sarada College for Women.
  • M. K. Uma Sri Sarada College for Women.
  • G. Balasubramanian Periyar University.

DOI:

https://doi.org/10.4067/S0716-09172008000300002

Keywords:

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.

Author Biographies

E. Roja, Sri Sarada College for Women.

Department of Mathematics.

M. K. Uma, Sri Sarada College for Women.

Department of Mathematics.

G. Balasubramanian, Periyar University.

Department of Mathematics.

References

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[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.

Issue

Section

Artículos