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针对决策者确定评估指标权重存在主观偏好这一问题,提出了基于灰靶贡献度排序和田口施密特正交(Mahalanobis-Taguchi Gram-Schmidt,MTGS)的指标赋权算法。该算法在MTGS系统方法中结合灰色系统技术,直接从评估指标数据入手,并通过计算指标灰靶贡献度得出了指标重要性排序结果;依据排序结果,构造了新的评估指标矩阵,有效地避免了人为因素对指标权重结果的影响。最后,以某传感器组网系统的体系抗干扰资源管控预案评估为例,通过与熵值客观赋权算法的结果进行对比验证了该算法的可靠性。
In view of the subjective preferences of decision makers in determining the weights of evaluation indexes, an index weighting algorithm based on the ranking of contribution ratios of gray targets and the MTGS (Mahalanobis-Taguchi Gram-Schmidt, MTGS) is proposed. The algorithm combines the gray system technology with the MTGS system, starts directly with the evaluation index data, and obtains the sorting result of the index importance by calculating the contribution degree of the gray target. According to the sorting result, a new evaluation index matrix is constructed, effectively Avoid the impact of human factors on the outcome of the indicator weighting. Finally, taking the evaluation of the system anti-interference resource management and control plan of a sensor networking system as an example, the reliability of the algorithm is verified by comparing with the result of entropy objective weighting algorithm.