Title :
L-closure operators, L-closure systems and L-closure L-systems on complete L-ordered sets
Author :
Liu, Yu-Hui ; Lu, Ling-Xia
Author_Institution :
Sch. of Math. & Sci., Shijiazhuang Univ. of Econ., Shijiazhuang, China
Abstract :
For L a complet Heyting algebra, on any complete L-ordered sets we introduce the concepts of L-closure operators, L-closure systems and L-closure L-systems. We show that there is a one-to-one correspondence between all L-closure operators and all L-closure systems (resp., L-closure L-systems).
Keywords :
algebra; set theory; L-closure L-systems; L-closure operators; L-closure systems; complete Heyting algebra; complete L-ordered sets; Fuzzy logic; Fuzzy sets; Lattices; Rough sets; Topology;
Conference_Titel :
Fuzzy Systems and Knowledge Discovery (FSKD), 2010 Seventh International Conference on
Conference_Location :
Yantai, Shandong
Print_ISBN :
978-1-4244-5931-5
DOI :
10.1109/FSKD.2010.5569695
