Commun. Korean Math. Soc. 2004 Vol. 19, No. 1, 35-51 Printed March 1, 2004
Yong Chan Kim, Jung Mi Ko Kangnung National University, Kangnung National University
Abstract : We introduce fuzzy closure systems and fuzzy closure operators as extensions of closure systems and closure operators. We study relationships between fuzzy closure systems and fuzzy closure spaces. In particular, two families $F(S)$ and $F(C)$ of fuzzy closure systems and fuzzy closure operators on $X$ are complete lattice isomorphic.