Proyecciones
Vol. 25, No 3, pp. 237-247, December 2006.
Universidad Católica del Norte
Antofagasta - Chile

L-FUZZY CLOSURE OPERATOR*

YUELI YUE¹, FU.GUI SHI²

¹INSTITUTE OF TECHNOLOGY, CHINA
²UNIVERSITY OF CHINA, CHINA

Abstract

The aim of this paper is to study L-fuzzy closure operator in Lfuzzy topological spaces. We introduce two kinds of L-fuzzy closure operators from different point view and prove that both L-TFCS.the category of topological L-fuzzy closure spaces.and L-PTFCS.the category of topological pointwise L-fuzzy closure paces.are isomorphic to L-FCTOP.

Key words: L-fuzzy co-topology; fuzzy remote neighborhood system; L-fuzzy closure operator

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Yueli Yue
Department of Mathematics
Beijing Institute of Technology
Beijing, 100081,
P. R. China

e-mail : yueliyue@163.com

Fu-Gui Shi
Department of Mathematics
Ocean University of China,
Qingdao, 266071,
P. R. China
e-mail : fuguishi@bit.edu.cn

Received : May 2006. Accepted : October 2006

*The project is supported by the National Natural Science Foundation of China (10371079) and the Base Research Foundation of Beijing Institute of Technology.