含属性加权模糊序决策信息系统的近似约简  

Approximate reduction of fuzzy ordered decision information system with attribute weighting

作　　者：徐伟华 孔子默 陈曜琦 Xu Weihua;Kong Zimo;Chen Yaoqi(College of Artificial Intelligent,Southwest University,Chongqing,400715,China)

机构地区：[1]西南大学人工智能学院,重庆400715

出　　处：《南京大学学报（自然科学版）》2022年第2期255-263,共9页Journal of Nanjing University（Natural Science）

基　　金：国家自然科学基金(61976245)。

摘　　要：为保证关键属性在属性约简时能够被保留,可对信息系统的属性进行加权,从而提高关键属性的影响力.基于此,在属性加权的模糊序决策信息系统中建立了上、下近似约简的模型,得到两种约简的判定定理,并且给出求解上、下近似约简的辨识矩阵以及约简方法.最后,通过实例验证了该约简方法的有效性.In order to ensure that the key attributes can be retained during attribute reduction process,attributes of the information system can be weighted,so as to improve the influence of the key attributes.Based on this,this paper establishes the models of upper and lower approximate reduction in fuzzy order decision information system with attribute weighting,obtains the judgment theorems of two kinds of reduction,and gives the identification matrix and reduction method for solving the upper and lower approximate reduction.Finally,an example is given to verify the effectiveness of the reduction method.

关 键 词：辨识矩阵 模糊序决策信息系统 属性加权 近似约简 

分 类 号：TP18[自动化与计算机技术—控制理论与控制工程]