摘要
为了给出粗糙区间直觉模糊集的不确定性度量,首先精炼了区间直觉模糊熵的公理化定义,在此基础上构造了一个基于三角函数的区间直觉模糊熵公式,并指出了以往文献中给出的区间直觉模糊熵公式存在的问题。然后定义了区间直觉模糊集的粗糙隶属函数,利用粗糙隶属函数的区间直觉模糊熵,给出了粗糙区间直觉模糊集的不确定性度量,并讨论了度量的一些相关性质,以此说明定义的合理性。
In order to give an uncertainty measurement of the interval-valued intuitionistic fuzzy rough set , initially based on a trigonometric function , an interval-valued intuitionistic fuzzy entropy formula is proposed by using a con-cise axiom definition of the interval-valued intuitionistic fuzzy entropy .The problems concerning the interval-valued intuitionistic fuzzy entropy formula discussed in the previous literature are also pointed out .Then the rough member-ship function of the interval-valued intuitionistic fuzzy set is defined and when using the interval-valued intuitionistic fuzzy entropy of rough membership functions , uncertainty measurement of the interval-valued intuitionistic fuzzy rough set is given , and some related properties of the measurement are discussed for the purpose of proving the ra-tionality of the definition .
出处
《智能系统学报》
CSCD
北大核心
2014年第4期449-453,共5页
CAAI Transactions on Intelligent Systems
基金
辽宁省教育厅基金资助项目(L2012226)
关键词
区间直觉模糊集
模糊熵
粗糙区间直觉模糊集
粗糙隶属函数
不确定性度量
interval-valued intuitionistic fuzzy sets fuzzy entropy rough interval-valued intuitionistic fuzzy sets rough membership function uncertainty measurement
