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信息不完全的多准则层次分类方法研究
引用本文:王坚强.信息不完全的多准则层次分类方法研究[J].控制与决策,2004,19(11):1237-1240.
作者姓名:王坚强
作者单位:中南大学,商学院,湖南,长沙,410083
摘    要:提出一种信息不完全的多准则层次分类决策方法.该方法利用决策者对训练集的分类结果(属于最高分类和不属于最高分类)和准则权系数的不完全信息构建非线性规划模型,将其转换成线性规划模型,求解得到训练集中方案在各准则值下的偏好值和准则权系数,通过插值得到方案集中方案在各准则下的偏好值,计算其一致性指标值,确定是否属于该分类.对于不属于最高分类的训练集中的方案进行分类,并继续上述过程,直到所有方案均分类为止.最后通过实例说明该方法的有效性和可行性.

关 键 词:多准则决策  信息不完全  偏好  一致性指标  分类
文章编号:1001-0920(2004)11-1237-04

Study on hierarchical discrimination approach of multi-criteria classification with incomplete information
WANG Jian-qiang.Study on hierarchical discrimination approach of multi-criteria classification with incomplete information[J].Control and Decision,2004,19(11):1237-1240.
Authors:WANG Jian-qiang
Abstract:The hierarchical discrimination method of multi-criteria classification with incomplete information is proposed. Nonlinear programming is constructed by using classification (inside top category and outside top category) to reference set and incomplete information on weights. Then it is converted into linear programming, and the criteria weights and the preference values of alternatives in the reference set under the category are gained by solving the linear programming. And the preference values of alternative under the criteria and the category are obtained by using interpolation. Its concordance index is computed, and the alternative being in the category or the lower category is acquired. The reference set, in which alternatives belong to the lower top category, is classified, and continue the above process until all alternatives are classified. An example shows the feasibility and availability of this method.
Keywords:multi-criteria decision-making  incomplete information  preference  concordance index  classification
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