Title :
Optimistic Multi-Granulation Fuzzy Rough Sets on Tolerance Relations
Author :
Xu Weihua ; Wang Qiaorong ; Luo Shuqun
Author_Institution :
Sch. of Math. & Stat., Chongqing Univ. of Technol., Chongqing, China
Abstract :
Based on the analysis of rough set model on a tolerance relation and the theory of fuzzy rough set, a new extended rough set model is constructed, which is the optimistic multi-granulation fuzzy rough sets based on tolerance relations. It follows the research on the properties of the lower and upper approximations of the new multi-granulation fuzzy rough set models based on tolerance relations. From which it can be found that the new extended model is a generalized rough set model based on tolerance relations from the perspective of granulation.
Keywords :
approximation theory; granular computing; rough set theory; extended rough set model; generalized rough set model; lower approximation; optimistic multigranulation fuzzy rough set; tolerance relation; upper approximation; Fuzzy rough set; Tolerance relation; optimistic multi-granulation;
Conference_Titel :
Information Science and Engineering (ISISE), 2012 International Symposium on
Conference_Location :
Shanghai
Print_ISBN :
978-1-4673-5680-0
DOI :
10.1109/ISISE.2012.75
