Categories isomorphic to the category of L-fuzzy closure system spaces

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.

کلیدواژه ها:

L-fuzzy closure system ، L-fuzzy closure operator ، L-fuzzy interior operator ، L-fuzzy remote neighborhood ، L-fuzzy quasi-coincident neighborhood ، L-fuzzy neighborhood ، Isomorphism of categories