论文标题

不完整成对比较矩阵的启发式评级估计方法

Heuristic Rating Estimation Method for the incomplete pairwise comparisons matrices

论文作者

Kułakowski, Konrad, Kędzior, Anna

论文摘要

启发式评级估计方法使决策者能够根据现有的排名数据和专家比较来决定。在这种方法中,预先知道所选替代方案的排名值,而这些值必须针对其余的值计算。他们的计算可以使用添加剂或乘法方法进行。两种方法都假定计算中涉及的成对比较集完成。在本文中,我们展示了如何扩展这些算法,以使专家不需要对所有替代方案进行成对比较。由于专家的工作缩短,提出的改进方法将降低决策程序的成本,并促进并缩短收集决策数据的阶段。

The Heuristic Rating Estimation Method enables decision-makers to decide based on existing ranking data and expert comparisons. In this approach, the ranking values of selected alternatives are known in advance, while these values have to be calculated for the remaining ones. Their calculation can be performed using either an additive or a multiplicative method. Both methods assumed that the pairwise comparison sets involved in the computation were complete. In this paper, we show how these algorithms can be extended so that the experts do not need to compare all alternatives pairwise. Thanks to the shortening of the work of experts, the presented, improved methods will reduce the costs of the decision-making procedure and facilitate and shorten the stage of collecting decision-making data.

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