可变程度多粒度粗糙集  

Variable Grade Multi-granulation Rough Set

作　　者：沈家兰 汪小燕[1] 申元霞[1] 

机构地区：[1]安徽工业大学计算机科学与技术学院,马鞍山243032

出　　处：《小型微型计算机系统》2016年第5期1012-1016,共5页Journal of Chinese Computer Systems

基　　金：国家青年科学基金项目(61300059)资助;安徽高校省级自然科学研究项目(KJ2012Z024;KJ2012Z031)资助;安徽省大学生创新创业训练计划项目(201410360215)资助

摘　　要：在融入一定程度误差的分类思想下,在多粒度粗糙集模型基础上,对不完备信息系统,提出基于限制容差关系的程度多粒度粗糙集,包括程度乐观多粒度粗糙集和程度悲观多粒度粗糙集.通过分析程度乐观多粒度粗糙集和程度悲观多粒度粗糙集的不足之处,提出一种可变程度多粒度粗糙集模型.研究可变程度多粒度粗糙集、程度乐观多粒度和程度悲观多粒度粗糙集的性质.可变程度多粒度粗糙集在一定程度上提高了精度,使分类更加有效,实例分析的结果也验证了该理论的可行性.In incomplete information systems, under the classification of some degree of error, the graded multi-granulation rough sets involved limited tolerance relation are proposed based on multi-granulation rough sets models, which include the graded optimistic multi-granulation rough set and the graded pessimistic multi-granulation rough set. By analyzing limitations of graded optimistic multi- granulation rough set and graded pessimistic multi-granulation rough set, the variable graded multi-granulation rough set is proposed. The properties of the three kind of rough sets models are discussed. The variable grade multi-granulation rough set can improve the accuracy to a certain extent and make the classification more effective. Finally, the results of examples also show the feasibility of proposed rough set models.

关 键 词：不完备信息系统 程度多粒度粗糙集 可变多粒度粗糙集 度量 

分 类 号：TP18[自动化与计算机技术—控制理论与控制工程]