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## Proyecciones (Antofagasta)

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*Print version* ISSN 0716-0917

### Proyecciones (Antofagasta) vol.28 no.1 Antofagasta May 2009

#### http://dx.doi.org/10.4067/S0716-09172009000100007

Vol. 28, No 1, pp. 7587, May 2009.

Universidad Católica del Norte

Antofagasta - Chile

A NEW APPROACH TO ALMOST FUZZY COMPACTNESS

**FU-GUI SHI**

Beijing Institute of Technology, China.

Correspondencia a:

**Abstract**

A new definition of almost fuzzy compactness is introduced in Ltopological spaces by means of open L-sets and their inequality when L is a complete DeMorgan algebra. It can also be characterized by closed L-sets, regularly closed L-sets, regularly open L-sets and their inequalities. When L is a completely distributive DeMorgan algebra, its many characterizations are presented.

**Key Words :**L-topology, fuzzy compactness, almost fuzzy compactness, almost continuous, weakly continuous

**Subjclass [2000] :**03E72, 54A40, 54D35

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**FU-GUI SHI**

Department of Mathematics

Beijing Institute of Technology

Beijing 100081

P. R. China

e-mail : __fuguishi@bit.edu.cn__

*Received : February 2009. Accepted : April 2009*