摘要
通过极大描述和极小描述获取的覆盖多粒度粗糙集,可以更好地应用于实际.首先通过极小描述和极大描述的交并运算定义4个悲观覆盖多粒度粗糙集模型,并讨论其基本性;在此基础上进一步分析其证据结构,并得出覆盖多粒度粗糙集具有信任结构的充分条件,即上、下近似满足对偶性、可加性和可乘性.通过上述研究,进一步丰富了多粒度粗糙集的研究.
The covering multi-granularition rough sets obtained by maximum description and minimal description can be better applied to reality.Fristly,four kinds of pessimistic covering multi-granularition rough set models are defined by the minimal description and the maximum description,and then its basic proper is analyzed.Moreover,the belief struct of covering multi-granularition rough sets is analyzed.The sufficient conditions for the belief struct covering multigranularition rough sets is obtained which is approximately satisfied the duality,additivity and multiplication.Through the above study,the research of multi-granularition rough sets is enriched.
作者
王加阳
帅勇
张炜
WANG Jia-yang;SHUAI Yong;ZHANG Wei(College of Information Science and Engineering,Central South University,Changsha 410083,China)
出处
《控制与决策》
EI
CSCD
北大核心
2020年第1期123-130,共8页
Control and Decision
基金
国家自然科学基金项目(61772031).
关键词
多粒度
粗糙集
证据理论
数值特征
multi-granularition
rough sets
evidence theory
numerical characterization
