Cross fuzzy entropy for measuring fuzzy rough uncertainty

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.