Title :
T-roughness in semigroups
Author_Institution :
Eng. Res. Center of Catastrophic Prophylaxis & Treatment of Road & Traffic Safety, Changsha Univ. of Sci. & Technol., 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 set-valued mapping, which is a generalization of the notion of lower and upper approximations of a lattice, and related properties are investigated.
Keywords :
approximation theory; group theory; mathematical operators; rough set theory; T-roughness; generalized lower approximation operators; generalized upper approximation operators; ordinary lattice homomorphism; rough sets theory; semigroups; set-valued homomorphism; set-valued mapping; Approximation methods; Lattices; Presses; Roads; Rough sets; Lower approximations; Semigroup; Set-valued homomorphism; Set-valued mapping; Upper approximations;
Conference_Titel :
Computer Science and Automation Engineering (CSAE), 2011 IEEE International Conference on
Conference_Location :
Shanghai
Print_ISBN :
978-1-4244-8727-1
DOI :
10.1109/CSAE.2011.5952494
