Ranking by pairwise comparisons for Swiss-system tournaments
Ranking by pairwise comparisons for Swiss-system tournaments
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DOI：
10.1007/s10100-012-0261-8
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发表时间：
2013-12-01
影响因子：
1.7
通讯作者：
Csato, Laszlo
中科院分区：
文献类型：
--
作者：
Csato, Laszlo
两两比较矩阵在多准则决策中有着广泛的应用。本文将不完全两两比较矩阵应用于体育竞赛领域，即为2010年国际象棋奥林匹克公开赛提出了替代排名。它表明，结果是强大的缩放技术。为了比较不同的排名，引入了距离函数，目的是考虑到人类感知的主观性。权重向量的分析意味着基于成对比较的方法具有共同的根。根据定义的距离，通过多维缩放提供结果的可视化。在某些情况下，建议的排名直观地比目前使用的词典顺序更好的结果。
Pairwise comparison matrices are widely used in multicriteria decision making. This article applies incomplete pairwise comparison matrices in the area of sport tournaments, namely proposing alternative rankings for the 2010 Chess Olympiad Open tournament. It is shown that results are robust regarding scaling technique. In order to compare different rankings, a distance function is introduced with the aim of taking into account the subjective nature of human perception. Analysis of the weight vectors implies that methods based on pairwise comparisons have common roots. Visualization of the results is provided by multidimensional scaling on the basis of the defined distance. The proposed rankings give in some cases intuitively better outcome than currently used lexicographical orders.