摘要
针对决策信息系统含有大量的灰信息、噪声数据且属性值为区间灰数,而利用传统的方法对其处理时易造成信息损失,鉴于此,本文利用灰色系统理论的思想方法构建了一种新的灰色变精度粗糙集模型。该方法,首先利用灰色相似关联度定义基于阀值λ的灰色相似关联关系、灰色相似关联类,而后以灰色相似关联关系代替灰色变精度粗糙集模型的等价关系,构建了一种基于灰色相似关联度的灰色变精度粗糙集模型,进而研究了模型的相关性质,并以实例验证了新模型的有效性与适用性。
There exists a variety of grey information and noise data,and the attribute value is interval number in decision making system.The application of traditional method to handling it will easily lead to the loss of information.In view of this,based on the thought and methodology of the grey system,a novel grey variable precision rough set model is constructed.The methodology,to begin with,grey similarity incidence method is used to define the grey similarity incidence relationship and grey similarity incidence classes with the thresholdλ,and then it is brought into the grey variable precision rough set model,so that the grey variable precision rough set model based on grey similarity incidence relationship is established and its related properties is studied.Finally an example is used to verify the validity and rationality of the proposed method.
出处
《系统工程》
CSSCI
CSCD
北大核心
2015年第2期146-151,共6页
Systems Engineering
基金
国家自然科学基金资助项目(71173104
71171113
70901041
71271226)
南京航空航天大学博士学位论文创新与创优基金资助项目(BCXJ12-12)
中央高校基本科研业务费专项资金资助项目
江苏省普通高校研究生科研创新计划项目(CXLX12-0175)
关键词
灰色系统
信息损失
灰色相似关联关系
灰色变精度粗糙集
Grey System
Loss of Information
Grey Similarity Incidence Relationship
Grey Variable Precision Rough Set
