不完备信息系统的直觉模糊决策粗糙集  

Intuitionistic Fuzzy Decision Rough Sets for Incomplete Information Systems

作　　者：张利亭 冯涛[1] 李欢 ZHANG Liting;FENG Tao;LI Huan(School of Sciences, Hebei University of Science and Technology, Shijiazhuang 050018,China)

机构地区：[1]河北科技大学理学院,河北石家庄050018

出　　处：《郑州大学学报（理学版）》2021年第2期57-65,共9页Journal of Zhengzhou University:Natural Science Edition

基　　金：国家自然科学基金项目(61573127);河北省自然科学基金项目(A2018210120,A2020208004);河北省人才工程培养项目(A2017002112);河北省高等学校科学技术研究项目(QN2019062)。

摘　　要：在不完备信息系统中把缺失值视为已知属性值集合的幂集,根据集合的性质定义了不完备信息系统中对象间的相似度和相异度,它们可以分别看作直觉模糊关系的隶属度和非隶属度,由此可以得到新的直觉模糊相似关系以及直觉模糊相似关系的截关系。用直觉模糊相似关系的截关系代替经典决策粗糙集模型中的等价关系,得到一种基于不完备信息系统的直觉模糊三支决策方法,并分别讨论了悲观者、中立者、乐观者的决策规则。最后通过实例验证了该方法的合理性和有效性。Missing values were treated as the power set of the set of known attribute values in an incomplete information system.And according to the properties of sets,the similarity degree and dissimilarity degree between objects were defined in an incomplete information system,which could be regarded as membership degree and non-membership degree of the intuitionistic fuzzy relationship respectively.Then,a new intuitionistic fuzzy similarity relationship and a cut-off relationship of the intuitionistic fuzzy similarity relationship were obtained.The cut-off relationship was used to replace the equivalence relationship of the classical decision rough set model.Then,an intuitionistic fuzzy three-way decision method was proposed in an incomplete information system.And decision rules of pessimists,neutrals and optimists were discussed respectively.Finally,an example was used to verify the reasonability and effectiveness of the method.

关 键 词：不完备信息系统 直觉模糊数 直觉模糊相似关系 直觉模糊决策粗糙集 三支决策 

分 类 号：O235[理学—运筹学与控制论]