基于改进BWM的属性权重确定方法OACHSSCD
An Improved BWM-based Method for Attribute Weight Determination
在BWM(Best-Worst Method)方法中,定义最大偏差值ξ* 越小,AHP一致性越高.但随着信息的减少,根据BWM方法计算出的ξ* 变小,而AHP一致性却变高,这与信息缺失会导致AHP一致性降低的事实相矛盾.文章提出一种改进的BWM方法,先将最优属性与其他属性及其他属性与最差属性相比较得到的最优和最差向量组分开,分别依据互反判断矩阵的一致性补充缺少的比较值,再根据BWM方法和算术平均值得到最优综合权重.在此基础上,通过定理验证了改进方法的合理性;进一步地,在给出采用改进的BWM 方法求解最优权重的具体步骤的基础上,通过案例与比较分析,得出改进的BWM方法相比BWM方法和Bayesian BWM方法更具准确性与有效性的结论.
In the BWM(Best-Worst Method),the smaller the maximum deviation value ξ*,the higher the consistency of AHP.However,with the reduction of information,the ξ* calculated by the BWM becomes smaller,while the consistency of AHP becomes higher,which is contradictory to the fact that missing information leads to lower consistency of AHP.This paper proposes an improved BWM.First,the best vector obtained by comparing the best attribute with the other attributes and the worst vector ob-tained by comparing the other attributes with the worst attributes are separated.Then,the missing comparison values are supple-mented according to the consistency of the reciprocal judgment matrix,respectively.Finally,the optimal integrated weight is ob-tained according to the BWM and the arithmetic mean,and on this basis,the rationality of the improved method is verified by a theorem.Furthermore,on basis of presenting the specific steps for solving the optimal weight by using the improved BWM,and through a case study and comparative analysis,it is concluded that the improved BWM is more accurate and effective than the BWM and the Bayesian BWM.
张慧
安徽师范大学 数学与统计学院,安徽 芜湖 241000
管理科学
BWMBayesian BWMAHP一致性
BWMBayesian BWMAHPconsistency
《统计与决策》 2026 (15)
58-63,6
国家自然科学基金资助项目(12071225)
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