Categories isomorphic to the category of $L$-fuzzy closure system spaces
نویسندگان
1 School of Mathematics, Beijing Institute of Technology, 5 South Zhong- guancun Street, Haidian District, 100081 Beijing, P.R. China
2 School of Mathematics, Beijing Institute of Technology, 5 South Zhong- guancun Street, Haidian District, 100081 Beijing, P.R. China
doi
10.22111/ijfs.2013.1213چکیده
In this paper, new definitions of $L$-fuzzy closure operator, $L$-fuzzy interior operator, $L$-fuzzy remote neighborhood system, $L$-fuzzy neighborhood system and $L$-fuzzy quasi-coincident neighborhood system are proposed. It is proved that the category of $L$-fuzzy closure spaces, the category of $L$-fuzzy interior spaces, the category of $L$-fuzzy remote neighborhood spaces, the category of $L$-fuzzy quasi-coincident neighborhood spaces, the category of $L$-fuzzy neighborhood spaces are all isomorphic to the category $L$-{\bf FCS} of $L$-fuzzy closure system spaces.
