A discrete region-based approach to improve the consistency of pair-wise comparison matrix
A discrete region-based approach to improve the consistency of pair-wise comparison matrix
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DOI：
10.1109/fuzz-ieee.2013.6622447
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发表时间：
2013-07
期刊：
影响因子：
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通讯作者：
Hengshan Zhang;Q. Zheng;Ting Liu;Z. Yang;Jiahe Liu
中科院分区：
文献类型：
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作者：
Hengshan Zhang;Q. Zheng;Ting Liu;Z. Yang;Jiahe Liu
成对比较矩阵的一致性是多准则决策问题中的一个严峻挑战。然而，现有的方法要么过于复杂，不能应用于不一致判断矩阵的修正过程，要么由于使用了新的成对比较矩阵，很难保存大部分原始的比较信息。本文提出了一种基于离散区域的方法来提高成对判断矩阵的一致性。当决策者感到困惑或不确定时，他们可以将他们的评价表达为一个包含多个判断的离散区域，而不是单一的结果。设计了一种新的数据结构，称为集合矩阵，用于存储这些多个判断的组合。设计了一种迭代搜索算法，从集合矩阵中寻找具有近似最优一致性的成对比较矩阵。实验表明：1)当专家采用离散区域评价而不是单一评价时，一致性显著提高；2)用户可以利用迭代搜索算法快速找到具有近似最优一致性的矩阵。
The consistency of pair-wise comparison matrix is a serious challenge for the multiple-criteria decision-making problem. However, existing methods are either too complicated to be applied in the revising process of the inconsistent comparison matrix or are difficult to preserve most of the original comparison information due to the use of a new pairwise comparison matrix. In this paper, a discrete region-based approach is proposed to improve the consistency of the pair-wise comparison matrix. When the decision makers feel confused or uncertain, they could express their evaluation as a discrete region containing multiple judgments, instead of a single result. A new data structure, named as set-matrix, is designed to store the combinations of those multiple judgments. An iterative searching algorithm is designed to find the pair-wise comparison matrix with approximate optimal consistency from the set-matrix. The experiments show that: 1) the consistency is significantly improved when the experts apply the discrete region evaluation instead of the single evaluation; and 2) the users can find the matrix with approximate optimal consistency quickly exploiting the iterative searching algorithm.