Proyecciones Journal of Mathematics
Vol. 25, No 2, pp. 191-203, August 2006.
Universidad Católica del Norte
Antofagasta - Chile

GENERALIZED CONNECTIVITY *

YUELI YUE
and
JINMING FANG

OCEAN UNIVERSITY OF CHINA, CHINA

Abstract

In this paper, we introduce generalized connectivity in L-fuzzy topological spaces by ÃLukasiewicz logic and prove K. Fan’s theorem.

Key words: ÃLukasiewicz logic; L-fuzzy topology; quasi-coincident neighborhood system.

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*This work is supported by Natural Science Foundation of China 192 Yueli Yue and Jinming Fang

Received : November 2005. Accepted : April 2006

Yueli Yue
Department of Mathematics
Ocean University of China
Qingdao, 266071,
P. R. China
e-mail : yueliyue@163.com
and
Jinming Fang
Department of Mathematics
Ocean University of China
Qingdao, 266071,
P. R. China
e-mail : jinming-fang@163.com