Title :
Probability rough sets model between different universes and its applications
Author :
Gong, Zeng-tai ; Sun, Bing-zhen
Author_Institution :
Coll. of Math. & Inf. Sci., Northwest Normal Univ., Lanzhou
Abstract :
In present paper, the measure of probability is introduced to the non-empty finite universe, and the probability rough sets model between different universes is defined. Furthermore, some basic properties of it are built. Additionally, the relationships between the probability rough sets model that is defined in this paper and the other rough set model is investigated, too. The result shows that the probability rough sets model between different universes included the others basic rough sets models on two universes. Therefore, the fields of the applications of rough sets are extended. Finally, a test example is given, and the background of this research in this paper is elaborated.
Keywords :
probability; rough set theory; nonempty finite universe; probability; rough sets; Cybernetics; Educational institutions; Information science; Machine learning; Mathematical model; Mathematics; Probability; Rough sets; Sun; Traffic control; Mapping of set-valued; Measure of probability; Probability approximation space; Rough sets; Two universes;
Conference_Titel :
Machine Learning and Cybernetics, 2008 International Conference on
Conference_Location :
Kunming
Print_ISBN :
978-1-4244-2095-7
Electronic_ISBN :
978-1-4244-2096-4
DOI :
10.1109/ICMLC.2008.4620468
