CAJ | 학술논문

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。
침대속성치위련속치차무단일결책속성적다속성결책문제，통과굉관화미관적립계산이론모형적대비분석，제출료일충융합모호상공간이론화조조집이론적속성권중학정방법。수선통과응용모호상공간이론구건구유분층체계결구적상공간족，장일계렬립도상공간적양본취류결과작위상응립도공간하단일결책속성적분류，연후채용조조집이론계산득출소유상공간하각개속성적중요도，종합불동조세립도상공간하적속성중요도대소학정료각속성적객관권중。응용실례험증료해방법적합이성、유효성화실용성。
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 quo?tient 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, ob?jective attributes weight was ascertained by integrating the significances of every attribute in different granular quo?tient spaces. The application case showed that the proposed method is reasonable, effective and practical.