Title :
The Generalized Roughness in Lattices
Author :
Qimei Xiao ; Qingguo Li
Author_Institution :
Coll. of Math. & Econ., Hunan Univ., Changsha, China
Abstract :
In this paper, we introduce the concept of (strong) set-valued homomorphism of a lattice which is a generalization of ordinary lattice homomorphism. We constructed generalized lower and upper approximation operators, by means of a setvalued mapping, which is a generalization of the notion of lower and upper approximations of a lattice, and related properties are investigated.
Keywords :
approximation theory; rough set theory; generalized roughness; lattice approximation; lower approximation operator; ordinary lattice homomorphism generalization; set-valued homomorphism concept; set-valued mapping; upper approximation operator; Approximation methods; Biological system modeling; Educational institutions; Lattices; Rough sets;
Conference_Titel :
Intelligent Systems and Applications (ISA), 2011 3rd International Workshop on
Conference_Location :
Wuhan
Print_ISBN :
978-1-4244-9855-0
Electronic_ISBN :
978-1-4244-9857-4
DOI :
10.1109/ISA.2011.5873278
