运筹与模糊学

Vol.6 No.2 (May 2016)

优势关系下直觉模糊信息系统的变精度与程度“逻辑或”粗糙集
The “Logical Or” Rough Set Theory of Variable Precision and Grade Based on Dominance Relation in Intuitionistic Fuzzy Information System

 

作者:

胡 猛 , 郭艳婷 , 徐伟华 :重庆理工大学数学与统计学院,重庆

 

关键词:

逻辑或优势关系直觉模糊集直觉模糊序信息系统Logic Or Dominance Relation Intuitionistic Fuzzy Set Intuitionistic Fuzzy Order Information System

 

摘要:

本文在直觉模糊信息系统中定义了加权得分函数,然后在此基础上定义了一种新的排序规则,基于此排序规则构造出优势关系。然后引入基于此优势关系的变精度与程度“逻辑或”上下近似的定义,并研究其粗糙集区域的基本结构和重要性质,并设计了相应的算法。最后,引入实际案例验证了该理论的可行性和有效性,进一步为直觉模糊序信息系统的知识发现提供了理论基础。

The weighted score function is proposed in the intuitionistic fuzzy information system, and a new sort rule is defined on the basis. Dominance relation of the system is constructed based on the rule. Then the upper and lower approximation of variable precision and degree “logic or” based on the dominance relation is introduced. Moreover, the basic structure and important properties of the rough set region are studied and the corresponding algorithm is designed. Finally, a practical case is introduced to verify the feasibility and effectiveness of the theory, which provides a theoretical basis for the knowledge discovery of intuitionistic fuzzy order information systems.

文章引用:

胡 猛 , 郭艳婷 , 徐伟华 (2016) 优势关系下直觉模糊信息系统的变精度与程度“逻辑或”粗糙集。 运筹与模糊学, 6, 66-77. doi: 10.12677/ORF.2016.62009

 

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