Title :
The representation of indiscernibility relation by graph
Author :
Ognjenovic, Visnja ; Brtka, Vladimir ; Jovanovic, Martin ; Brtka, Eleonora ; Berkovic, Ivana
Author_Institution :
Tech. Fac. Mihajlo Pupin, Univ. of Novi Sad, Zrenjanin, Serbia
Abstract :
The paper presents a new form of indiscernibility relation based on graph. Based on widely accepted definitions of indiscernibility relation and its matrix representation, it has been shown how the indiscernibility relations can be obtained by a graph. The application of the indiscernibility graph enables the partitioning of the universe of objects represented by their attributes. This is in connection with the Rough sets theory (Z. Pawlak, 1980s). The relation between state space, when applied to the indiscernibility graph, is also theoretically discussed. Formal definitions are accompanied by some examples.
Keywords :
graph theory; matrix algebra; rough set theory; indiscernibility relation; matrix representation; rough sets theory; Approximation methods; Data mining; Informatics; Intelligent systems; Rough sets; Symmetric matrices;
Conference_Titel :
Intelligent Systems and Informatics (SISY), 2011 IEEE 9th International Symposium on
Conference_Location :
Subotica
Print_ISBN :
978-1-4577-1975-2
DOI :
10.1109/SISY.2011.6034298