Title :
A sufficient and necessary condition for a complete residuated lattice is meet continuous
Author :
Fan, Hongjun ; Liu, Bin ; Chang, Zhengbo ; Xu, Youjie
Author_Institution :
Dept. of Logistics & Shipping Manage., Qingdao Ocean Shipping Mariners Coll., Qingdao, China
Abstract :
This paper gives a sufficient and necessary condition for that a complete residuated lattice is meet continuous through investigating the interrelationship between the categories of convergence spaces, topological spaces, L-semi-topological spaces, and L-valued preorders.
Keywords :
convergence; lattice theory; L-semi-topological spaces; L-valued preorders; complete residuated lattice; continuous lattice; convergence spaces; topological spaces; Convergence; Educational institutions; Fuzzy sets; Lattices; Oceans; Springs; Topology; L-valued preorder; L-valued topology; Meet continuous lattice; limit space; residuated lattice;
Conference_Titel :
Consumer Electronics, Communications and Networks (CECNet), 2012 2nd International Conference on
Conference_Location :
Yichang
Print_ISBN :
978-1-4577-1414-6
DOI :
10.1109/CECNet.2012.6202206
