基于相似度的直觉模糊多粒度决策理论粗糙集  

Similarity-measure Based Intuitionistic Fuzzy Multigranulation Decision-theoretic Rough Set

作　　者：梁美社 谷怡欣 米据生[2] 靳晨霞 LIANG Mei-she;GU Yi-xin;MI Ju-sheng;JIN Chen-xia(Department of Mathematics and Physics,Shijiazhuang Tiedao University,Shijiazhuang 050043,China;School of Mathematics Science,Hebei Normal University,Shijiazhuang 050024,China;School of Economics and Management,Hebei University of Science&.Technology,Shijiazhuang 050018,China)

机构地区：[1]石家庄铁道大学数理系,河北石家庄050043 [2]河北师范大学数学科学学院,河北石家庄050024 [3]河北科技大学经济管理学院,河北石家庄050018

出　　处：《模糊系统与数学》2022年第6期149-160,共12页Fuzzy Systems and Mathematics

基　　金：国家自然科学基金资助项目(62076088,72101082);河北省自然科学基金资助项目(A2020208004)。

摘　　要：多粒度决策理论粗糙集具有强大的理论基础和合理的语义解释。考虑直觉模糊集和多粒度决策理论粗糙集在知识表达和信息处理方面各自具有很强的优势,本文提出了直觉模糊多粒度决策理论粗糙集模型。首先,在多源直觉模糊信息系统中,通过构造直觉模糊相似关系,对对象集进行直觉模糊划分,进而得到了多源直觉模糊粒结构。其次,利用直觉模糊相似度及多源直觉模糊相似类实现了对目标集合的多粒度近似。另外,给出了该模型的一些主要性质。最后,通过实例验证了该模型的有效性。该模型为实际应用中的多源数据分析提供了一种有效的思路与方法。Mutigranulation decision-theoretic rough set has powerful theoretical basis and reasonable semantic interpretation. Considering that intuitionistic fuzzy set and multigranulation decision-theoretic rough set have strong advantages in knowledge representation and information processing, intuitionistic fuzzy multigranulation decision-theoretic rough set is proposed in this paper. First, the intuitionistic fuzzy similarity relation is constructed, we employ the relation to intuitionistic fuzzily partition the universe and then obtain multiple intuitionistic fuzzy granulation structure from multi-source intuitionistic fuzzy information system. Second, the multigranulation approximation of the target set is realized by using the intuitionistic fuzzy similarity degree and the multiple intuitionistic fuzzy granulations. Moreover, some of its properties are addressed. An example is employed to illustrate the effectiveness of the proposed method which may provide an effective idea and approach for multi-source data analysis in practical application.

关 键 词：多粒度 直觉模糊集 决策理论粗糙集 相似度 

分 类 号：O159[理学—数学]