采用粒计算的属性权重确定方法  

A method for ascertaining the weight of attributes based on granular computing

作　　者：周丹晨[1] 

机构地区：[1]中国工程物理研究院机械制造工艺研究所,四川绵阳621900

出　　处：《智能系统学报》2015年第2期273-280,共8页CAAI Transactions on Intelligent Systems

基　　金：中国工程物理研究院科学技术发展基金资助项目(2013B0203031)

摘　　要：针对属性值为连续值且无单一决策属性的多属性决策问题,通过宏观和微观的粒计算理论模型的对比分析,提出了一种融合模糊商空间理论和粗糙集理论的属性权重确定方法。首先通过应用模糊商空间理论构建具有分层递阶结构的商空间族,将一系列粒度商空间的样本聚类结果作为相应粒度空间下单一决策属性的分类,然后采用粗糙集理论计算得出所有商空间下各个属性的重要度,综合不同粗细粒度商空间下的属性重要度大小确定了各属性的客观权重。应用实例验证了该方法的合理性、有效性和实用性。Aiming at multi-attribute decision making problem without single decision attribute in which the attribute values are in the forms of continuous numbers,a method for ascertaining attributes weight based on fusion of fuzzy quotient spaces theory and rough sets theory is put forward through comparison and analysis of the macrocosmic and microcosmic theoretical models of granular computing. Firstly,the quotient space family with hierarchical structure was established by applying fuzzy quotient spaces theory. The sample clustering resulted in a series of granular quotient spaces were used as classification of single decision attribute in corresponding granular space. Furthermore,the significances of every attribute in all quotient spaces were calculated by applying rough sets theory. Finally,objective attributes weight was ascertained by integrating the significances of every attribute in different granular quotient spaces. The application case showed that the proposed method is reasonable,effective and practical.

关 键 词：属性权重 粒计算 模糊商空间 粗糙集 多属性决策 

分 类 号：TP18[自动化与计算机技术—控制理论与控制工程]