Properties of Cut Set of Rough Fuzzy Sets and their Applications
Zhan Wan-rong · Luoyang Shifan Xueyuan xuebao · 2010
In this paper,properties of cut set of rough fuzzy sets are studied.The upper and lower approximation operators of rough fuzzy sets preserve the property of cut set.In this basis,the decomposition theorem of rough fuzzy sets is obtained.It is proved that fuzzy upper and lower approximation operators are the canonical extension of the operators which are the restriction of fuzzy upper and lower approximation operators to crisp sets.Finally,the calculation of roughness and accuracy measure of fuzzy sets is simplified by means of properties of cut set.And an application example is given.