Title :
Global roughness of approximation and boundary rough sets
Author :
Yang, Yingjie ; John, Robert
Author_Institution :
Centre for Comput. Intell., De Montfort Univ., Leicester
Abstract :
This paper defines a new parameter for describing the uncertainty of rough sets. Different from the roughness of a rough set, a global roughness measures the uncertainty of rough sets with respect to the entire information system. This is essential especially for a special rough set - boundary rough sets.We give the definition of global roughness of approximation and boundary rough sets, and analyse their properties. Some examples are also provided to show the complementary features of global roughness and roughness of rough sets.
Keywords :
approximation theory; rough set theory; approximation rough sets; boundary rough sets; global roughness; rough sets uncertainty; Decision making; Fuzzy sets; Information systems; Measurement uncertainty; Rough sets; Set theory;
Conference_Titel :
Fuzzy Systems, 2008. FUZZ-IEEE 2008. (IEEE World Congress on Computational Intelligence). IEEE International Conference on
Conference_Location :
Hong Kong
Print_ISBN :
978-1-4244-1818-3
Electronic_ISBN :
1098-7584
DOI :
10.1109/FUZZY.2008.4630508
