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A consistency-based approach to multiple attribute decision making with preference information on alternatives

机译：基于一致性的多属性决策方法，带有关于替代方案的偏好信息

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摘要

The methodology to solve the multiple attribute decision making (MADM) with preference information on alternatives has been systematically investigated. However, the inconsistency issue between the two rankings respectively derived from the preference information and the decision matrix is seldom considered. In order to investigate this issue, this paper proposes a consistency-based approach to MADM with preference information on alternatives. Based on the classical idea of the geometric consistency index in the preference relation, we define a geometric consistency index in MADM. Then, we propose an algorithm to adjust the preference information and the decision matrix simultaneously to improve the geometric consistency index in MADM. Next, some simulations experiments are designed to discuss the properties of the proposed approach. Finally, through illustrative examples and a comparative analysis, we demonstrate the effectiveness of the proposed approach.
机译：系统地研究了解决方案的多属性决策方法（MADM）的偏好信息。然而，很少考虑分别从偏好信息和决策矩阵得出的两个等级之间的不一致问题。为了调查此问题，本文提出了一种基于一致性的MADM方法，其中包含有关替代方案的偏好信息。基于偏好关系中几何一致性指标的经典思想，我们在MADM中定义了几何一致性指标。然后，提出一种同时调整偏好信息和决策矩阵的算法，以提高MADM中的几何一致性指标。接下来，设计了一些仿真实验来讨论所提出方法的特性。最后，通过说明性例子和比较分析，我们证明了该方法的有效性。

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