智能系统学报Issue(5)：613-617,5.DOI:10.3969/j.issn.1673-4785.201307007
区间直觉模糊粗糙集的不确定性研究
Research on uncertainty of interval-valued intuitionistic fu zzy rough sets
摘要
Abstract
The uncertainty of an approximate set in interval-value intuitionistic fuzzy information system is re-searched in this paper and the uncertainty measurement formula of interval-value intuitionistic fuzzy rough sets are given.Firstly, a pair of new interval-value intuitionistic fuzzy upper and lower approximation operators with symme-try is defined in the interval-value intuitionistic fuzzy approximation space.Secondly, the corresponding definition of rough membership functions on interval-value intuitionistic fuzzy is given and properties are discussed.Finally, the fuzzy entropy of interval-value intuitionistic fuzzy rough set is defined by interval-value intuitionistic fuzzy entropy of the interval-value intuitionistic fuzzy rough membership functions.The necessary and sufficient conditions when the fuzzy entropy on interval intuitice fuzzy rough set is zero are discussed.In addition, the rough measurement values of classic set and residual set are equal in the interval-value intuitionistic fuzzy approximate space, thereby proving the rationality of the definition.关键词
粗糙集/模糊集/区间直觉模糊集/区间直觉模糊信息系统/区间直觉模糊关系/近似算子/区间直觉模糊熵/粗糙隶属函数分类
信息技术与安全科学引用本文复制引用
刘洪伟,王艳平..区间直觉模糊粗糙集的不确定性研究[J].智能系统学报,2014,(5):613-617,5.基金项目
辽宁省教育厅基金资助项目（ L2012226）． （）
