Title :
The axiomatization of rough similarity degree
Author :
Li, Jian ; Xu, Xiao-jing ; Shi, Kai-quan
Author_Institution :
Shandong Univ., Jinan
Abstract :
Rough similarity degree is used to measure the degree of similarity between two rough sets. The definition of rough similarity degree is generalized and the axiomatic definition of rough similarity degree is proposed. Several new forms of a rough similarity degree, which satisfies the axiomatic definition, are given. According to different cases in fact, the best form of a rough similarity degree can be chosen to measure the degree of similarity between two rough sets.
Keywords :
rough set theory; axiomatization; rough set theory; rough similarity degree; Data analysis; Data mining; Fuzzy sets; Intelligent systems; Pattern analysis; Pattern recognition; Rough sets; Set theory;
Conference_Titel :
Grey Systems and Intelligent Services, 2007. GSIS 2007. IEEE International Conference on
Conference_Location :
Nanjing
Print_ISBN :
978-1-4244-1294-5
Electronic_ISBN :
978-1-4244-1294-5
DOI :
10.1109/GSIS.2007.4443407
