基于关联熵系数的粗糙Vague集相似性度量方法  

Measurement method of the similarity of rough vague sets based on relative entropy coefficient

作　　者：张倩倩[1,2,3] 马媛媛 徐久成[1,2,3] ZHANG Qianqian;MA Yuanyuan;XU Jiucheng(College of Computer and Information Technology,Henan Normal University,Xinxiang 453007,China;Engineering Lab of In-telligence Business ＆Internet of Things,Xinxiang 453007,China;Engineering Technology Research Center for Computing Intelli-gence ＆ Data Mining,Henan Province,Xinxiang 453007,China)

机构地区：[1]河南师范大学计算机与信息工程学院,河南新乡453007 [2]"智慧商务与物联网技术"河南省工程实验室,河南新乡453007 [3]河南省高校计算智能与数据挖掘工程技术研究中心,河南新乡453007

出　　处：《智能系统学报》2018年第4期650-655,共6页CAAI Transactions on Intelligent Systems

基　　金：国家自然科学基金项目(61772176;61370169;61402153);河南省科技攻关(重点)项目(182102210362;162102210261);河南师范大学青年科学基金项目(2015QK26);河南省高等学校重点科研项目(18A520031;5201119140059)

摘　　要：粗糙Vague集是将粗糙集和Vague集理论相互融合以处理不确定性信息的一种理论工具。本文在深入研究Vague集及粗糙模糊集的关联熵、关联熵系数及集合相似性度量方法基础上,将关联熵和关联熵系数的概念引入到粗糙Vague集,并详细讨论了它们的主要性质,同时证明了关联熵系数满足粗糙Vague集相似度的定义,可用于粗糙Vague集的相似性度量。最后通过实例验证了粗糙Vague集的关联熵系数用于度量粗糙Vague集之间相似性程度的有效性,该理论为粗糙Vague集相似性度量提供了一种新方法。The rough Vague set is a theoretical tool that combines the theories of rough and Vague sets to deal with un-certain information. In this paper, we introduce the concept of relative entropy and its coefficient to a rough Vague set toinvestigate a method for measuring relative entropy, its coefficient, and the similarity of Vague and rough fuzzy sets. Wealso analyzed their main properties. We verified that the coefficient of the relative entropy has similarity with that ofrough Vague sets, and that this coefficient can be used to measure the similarity of rough Vague sets. Finally, we con-ducted a case study to verify the effectiveness of using the relative entropy coefficient of a rough Vague set to determ-ine the degree of similarity between rough Vague sets. This theory provides a new method for measuring the similarityof rough Vague sets.

关 键 词：粗糙VAGUE集 相似性度量 关联熵 关联熵系数 粗糙集 

分 类 号：TP18[自动化与计算机技术—控制理论与控制工程]