摘要
利用模糊熵工具将近似集的不确定性度量方法应用在区间直觉模糊信息系统中,给出了区间直觉模糊近似算子的不确定性度量公式.通过在区间直觉模糊近似空间中定义一对新的区间直觉模糊上、下近似算子,将模糊粗糙隶属函数的定义推广到了区间直觉模糊集的粗糙隶属函数;然后利用区间直觉模糊粗糙隶属函数的模糊熵,定义了区间直觉模糊粗糙集的熵;进而解决了区间直觉模糊粗糙集的不确定性度量问题,并讨论了度量的一些相关性质,以此说明定义的合理性.
The uncertainty measurement method of approximate set was used in the interval-valued intuitionis- tic fuzzy information system by using fuzzy entropy, the uncertainty measuring formula of the interval-valued intuitionistic fuzzy approximate operators was given. The definition of fuzzy rough membership function was generalized to rough membership function of interval-valued intuitionistic fuzzy sets through defining a new in- terva!-valued intuitionistic fuzzy upper and lower approximate operators in the interval-valued intuitionistic fuzzy approximate space. Then, the entropy of interval-valued intuitionistic fuzzy rough set was defined by using fuzzy entropy of the interval-valued intuitionistic fuzzy rough membership functions, and the problem of uncertainty measurement on interval-valued intuitionistic fuzzy rough set was solved, some related properties of measure was discussed, so as to prove the rationality of the definition.
出处
《中北大学学报（自然科学版）》
CAS
北大核心
2014年第6期638-642,共5页
Journal of North University of China(Natural Science Edition)
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
区间直觉模糊粗糙集
粗糙隶属函数
interval-valued intuitionistic fuzzy sets
fuzzy entropy
interval-valued Intuitionistic fuzzy roughsets
rough membership function
