TY - JOUR
T1 - Categories isomorphic to the category of L-fuzzy closure system spaces
AU - Shi, Fu Gui
AU - Pang, Bin
PY - 2013/10
Y1 - 2013/10
N2 - 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-FCS of L-fuzzy closure system spaces.
AB - 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-FCS of L-fuzzy closure system spaces.
KW - Isomorphism of categories
KW - L-fuzzy closure operator
KW - L-fuzzy closure system
KW - L-fuzzy interior operator
KW - L-fuzzy neighborhood
KW - L-fuzzy quasi-coincident neighborhood
KW - L-fuzzy remote neighborhood
UR - http://www.scopus.com/inward/record.url?scp=84906312771&partnerID=8YFLogxK
M3 - Article
AN - SCOPUS:84906312771
SN - 1735-0654
VL - 10
SP - 127
EP - 146
JO - Iranian Journal of Fuzzy Systems
JF - Iranian Journal of Fuzzy Systems
IS - 5
ER -