Title :
On the Point Closure System by Tolerance
Author_Institution :
Dept. of Comput. Eng., Anhui Inst. of Archit. & Ind., Hefei, China
Abstract :
Tolerances provide a general tool for studying indiscernibility phenomena that are ubiquitous in data analysis and knowledge system. The collections of blocks, classes and point closures form three different coverings closely related to the given tolerance. The structure and property of the induced point closure system are investigated, and axiomizations of three types of covering based rough approximation operators are discussed from the relational viewpoint, in which point closure system plays an important role.
Keywords :
approximation theory; data analysis; rough set theory; ubiquitous computing; data analysis; knowledge system; point closure system; relational viewpoint; rough approximation operators; tolerance; ubiquitous computing; Approximation methods; Data analysis; Indexes; Information science; Kernel; Topology; covering; point closure system; tolerance;
Conference_Titel :
Intelligent Systems (GCIS), 2012 Third Global Congress on
Conference_Location :
Wuhan
Print_ISBN :
978-1-4673-3072-5
DOI :
10.1109/GCIS.2012.52
