新型变精度多粒化粗糙集模型  

New rough set model:a variable precision multigranulation approach

作　　者：闫敏伦[1,2] 

机构地区：[1]江苏师范大学连云港校区,江苏连云港222006 [2]连云港师范高等专科学校数学与信息工程学院,江苏连云港222006

出　　处：《南京理工大学学报》2014年第4期496-500,共5页Journal of Nanjing University of Science and Technology

基　　金：国家自然科学基金(61100116);江苏省自然科学基金(BK2011492);江苏省教育科学"十二五"规划课题(D/2013/03/076)

摘　　要：为了解决现有的变精度乐观多粒化粗糙集要求宽松和悲观多粒化粗糙集要求过于严格的不足,该文提出了新型变精度多粒化粗糙集模型,即可协调的变精度多粒度粗糙集模型。该模型通过引入阈值,调节满足变精度约束条件的属性个数,使变精度多粒化粗糙集模型更具灵活性。分析了该新模型的相关性质并将其与经典模型进行了对比分析。通过理论分析,该文提出的新型变精度不仅继承了传统变精度多粒化粗糙集的相关性质,而且在一定环境下可以退化为传统变精度多粒度乐观和悲观粗糙集模型。研究表明,该文提出的模型是传统多粒度模型在应用背景下的有力扩展。The variable precision optimistic multigranulation rough set model is loose while the variable precision pessimistic multigranulation rough set model is strict. To solve this problem,this paper proposes a new variable precision multigranulation rough set model,which is called adjustable variable precision multigranulation rough set. It introduces a threshold to control the number of attributes,which satisfy the variable precision constraint condition. This mechanism makes the model more flexibile. This paper shows the properties of this model and compares the model with classical variable precision multigranulation model. By theoretical analyses,this paper observes that,the new variable precision multigranulation rough set model not only inherits the properties of classical variable multigranulation rough set, but also can degenerate to classical variable multigranulation rough set with some limitations. The research shows that, the model proposed here is a powerful expansion of the classical multigranulation rough set in real world application.

关 键 词：变精度 多粒化 可协调 粗糙集 阈值 泛化 乐观粗糙集 悲观粗糙集 

分 类 号：TP18[自动化与计算机技术—控制理论与控制工程]