基于Hausdorff距离的区间数多属性公路网综合评价
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引用本文:刘云芬1,曹茂中2.基于Hausdorff距离的区间数多属性公路网综合评价[J].经济数学,2015,(4):27-30
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刘云芬1,曹茂中2 (1.湖北师范学院数学与统计学院 湖北 黄石 4350022.湖北省黄石市水文水资源勘测局湖北 黄石 435002) 
中文摘要:公路网评价对于了解区域公路网状态和交通需求间的关系非常重要.讨论了公路网属性表示为区间数的问题,通过计算属性值相对于属性等级的距离矩阵得到相应的加权可变相似度,再对可变相似度进行归一化处理,作为各属性等级的权重向量,同时应用级别特征公式求得综合属性值进行综合评价.实例表明,该方法和其他方法的评价结果一致,且能给出不同标准下的评价结果,计算过程简明且有效,而且能向属性值为其他类型的不确定量进行拓广.
中文关键词:公路网  区间数  不确定多属性决策  Hausdorff距离  相似度
 
Interval Multi-Attribute Evaluation of Road Network Based on Hausdorff Distance
Abstract:The comprehensive evaluation of road network is very important to know the relation between regional road network and traffic demanding. This paper discussed the problem that the attributes of road network were interval numbers, calculated that the variable distance measure between the attribute grades and the attribute values. From this, Variable similarity measures were obtained, and then the variable similarity values were normalized, which were acted as the weight vector of each attribute grades. Therefore, decision values were acquired by characteristic formula. After that, the examples showed that the results agree with other methods, further more, evaluation results in different standard could gain, and the method was simple and effective, but also we could easily generalize the interval number to other uncertainties.
keywords:road network  interval number  uncertain multi-attribute evaluation  Hausdorff distance measure  similarity measure
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