Title :
Fuzzy Rough Set Model Based on Multi-fuzzy Granulations
Author :
Wu, Mingfen ; Kou, Guangxue
Author_Institution :
Sch. of Comput. Sci., Wuyi Univ., Jiangmen, China
Abstract :
Based on opinions of Y. H. Qian and J. Y. Liang about MGRS model, we make further research about these rough set models in fuzzy environment. The lower and upper approximations of fuzzy sets are defined based multi-fuzzy equivalence relations, and basic properties are investigated. It is shown that basic properties of fuzzy rough sets and MGRS models are special instance of MFGRS model. Afterwards, we propose an approximation measure of fuzzy sets based multi-fuzzy granulations, and the approximation of a fuzzy set described using multi-fuzzy granulations is always better than using single fuzzy granulation.
Keywords :
approximation theory; fuzzy set theory; rough set theory; MGRS model; fuzzy rough set model; fuzzy sets approximation; multifuzzy equivalence relation; multifuzzy granulation; Approximation methods; Computational modeling; Extraterrestrial measurements; Fuzzy sets; Knowledge based systems; Rough sets; Fuzzy rough set; approximation measure; fuzzy equivalence relation; fuzzy knowledge base; lower (upper) approximation; multi-fuzzy granulations;
Conference_Titel :
Granular Computing (GrC), 2010 IEEE International Conference on
Conference_Location :
San Jose, CA
Print_ISBN :
978-1-4244-7964-1
DOI :
10.1109/GrC.2010.127
