Proyecciones
Vol. 25, No 3, pp. 249-259, December 2006.
Universidad Católica del Norte
Antofagasta - Chile

A NEW NOTION OF SP-COMPACT L-FUZZY SETS*

SHI - ZHONG BAI

WUYI UNIVERSITY, P. R. CHINA

Abstract

A new notion of SP-compactness is introduced in L-topological spaces by means of semi-preopen L-sets and their inequality, where L is a complete De Morgan algebra. This new notion does not depend on the structure of basis lattice L and L does not require any distributivity. This new notion implies semicompactness, hence it also implies compactness. This new notion is a good extension and it has many characterizations if L is completely distributive De Morgan algebra.

Key Words and Phrases: L-topology; semi-preopen L-set; SPcompactness.

Mathematics Subject Classification (2000): 54A40, 54A20

Dedicatory: Department ofMathematics,Wuyi University, Guangdong529020, P.R.China

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Shi-Zhong Bai
Department of Mathematics
Wuyi University
Guangdong 529020
P.R. China
E-mail : shizhongbai@yahoo.com

Received : September 2006. Accepted : October 2006

*The work is supported by the NNSF of China, NSF of Guangdong Province and STF of Jiangmen City(No. 60473009,60542001,021358, [2005]102)