广义优势多粒度直觉模糊粗糙集的属性约简  

Generalized Dominance-based Attribute Reduction for Multigranulation Intuitionistic Fuzzy Rough Set

作　　者：梁美社 米据生[1] 冯涛[3] LIANG Mei-she;MI Ju-sheng;FENG Tao(College of Mathematics and Information Science,Hebei Normal University,Shijiazhuang 050024,China;Department of Science,Technology and School-Business Cooperation,Shijiazhuang University of Applied Technology,Shijiazhuang 050081,China;College of Science,Hebei University of Science&Technology,Shijiazhuang 050018,China)

机构地区：[1]河北师范大学数学与信息科学学院,石家庄050024 [2]石家庄职业技术学院科技发展与校企合作部,石家庄050081 [3]河北科技大学理学院,石家庄050018

出　　处：《计算机科学》2018年第10期54-58,77,共6页Computer Science

基　　金：国家自然科学基金(61573127;61300121;61502144);河北省自然科学基金(A2014205157);河北省高校创新团队领军人才培育计划项目(LJRC022);河北师范大学研究生创新项目基金(CXZZSS2017046)资助

摘　　要：证据理论和多粒度粗糙集模型的结合已成为知识挖掘中的热点研究之一,其建立的模型已被应用于不完备、覆盖、模糊等信息系统,但在直觉模糊决策信息系统中还未见相关讨论。首先,在直觉模糊决策信息系统中利用三角模和三角余模定义了3种优势关系,得到了3种优势类,并构造了广义优势关系多粒度直觉模糊粗糙集模型;其次,基于证据理论,讨论了广义多粒度直觉模糊粗糙集的信任结构;然后,通过定义粒度重要性和属性重要性给出了属性约简方法;最后,通过实例说明了该模型在处理直觉模糊决策信息系统时是有效的。The combination of the evidence theory and multigranulation rough set model has become one of the hot issues,and the established models have been applied to various information systems,such as incomplete information system,coverage information system and fuzzy information system.However,intuitionistic fuzzy information system has not been investigated yet.Firstly,three kinds of dominance relations and three kinds of dominance classes were defined by using triangular norms and triangular conorms in intuitionistic fuzzy decision information system.Secondly,generali-zed dominance-based multigranulation intuitionistic fuzzy rough set model was proposed,and the belief structure of this model was discussed under evidence theory.After that,attribute reduction was acquired by the importance of granularity and attribute.Finally,an example was used to illustrate the effectiveness of the model.

关 键 词：多粒度 粗糙集 三角模 优势关系 直觉模糊集合 证据理论 

分 类 号：TP391[自动化与计算机技术—计算机应用技术]