Title :
Cross fuzzy entropy for measuring fuzzy rough uncertainty
Author :
Zhao, Junyang ; Zhang, Zhili ; Sun, Lingyi ; Zhou, Zhaofa ; Sun, Lijiang
Author_Institution :
Xi´´an Res. Inst. Of Hi-tech Hongqing Town, Xi´´an, China
Abstract :
In order to measure fuzzy uncertainty of fuzzy rough set, a cross fuzzy entropy (CFE) measuring method based on the notion of rough membership in fuzzy rough set is defined combing with the analysis of fuzzy entropy in fuzzy set, the relative properties are analyzed. This method can not only measure fuzzy uncertainty of fuzzy rough set, but also indirectly reflect rough uncertainty contained in data. Finally, an example computation is used to validate this definition.
Keywords :
fuzzy set theory; rough set theory; cross fuzzy entropy measuring method; fuzzy rough set; fuzzy uncertainty; rough membership; Entropy; Fuzzy systems; Information systems; Mathematical model; Measurement uncertainty; Rough sets; Uncertainty; cross fuzzy entropy; fuzzy rough set; rough membership; uncertainty measure;
Conference_Titel :
Intelligent Systems and Knowledge Engineering (ISKE), 2010 International Conference on
Conference_Location :
Hangzhou
Print_ISBN :
978-1-4244-6791-4
DOI :
10.1109/ISKE.2010.5680806
