Consistency Improvement of Comparison Matrix Based on Geometric Consistency Index
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摘要: 针对现有一致性改进方法中存在的缺陷,用行几何平均法和几何一致性指数分别作为确定权重的方法和一致性检验的标准,根据可能满意度原理,定义了一致可信度,作为判断矩阵一致性改进的标准.在此基础上,提出了新的一致性改进方法.算例分析表明该方法解决了原有改进标准不合理的问题,所得的最佳改进判断矩阵在一致性得到改进的同时,最大程度地保留了决策者的原始偏好信息.Abstract: A new criterion,consistency-credibility degree,of comparison matrix was defined by introducing the principle of "possibility-satisfiability degree" to overcome the deficiencies of available consistency improving methods.Row geometric mean method (RGMM) was taken for determining weights,and geometric consistency index (GCI) was taken as consistency measure.Then a new consistency improving method was proposed.An example was presented to show that this method abstains from the unreasonableness of traditional improving criterions,and the optimal improved matrix obtained preserves the original preference information as much as possible as well as improving the consistency of comparison matrix.
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