成对比较阵中权重计算的马氏链方法

发布时间：2018-03-18 20:40

本文选题：成对比较阵　切入点：马氏链　出处：《数学的实践与认识》2017年17期 　论文类型：期刊论文

【摘要】：成对比较阵广泛应用于综合评判中的权重计算.由于客观事物的复杂性和决策者认识的多样性,常常造成了成对比较阵的不一致性、非互反性和残缺.将成对比较阵反复调整的动态行为对应于马氏链,证明了过程是正则链,并利用正则链的稳定分布作为权向量.方法对满足一致性条件的成对比较阵所得结果与原方法一致,同时可以方便地用于具有不一致性、非互反性或者残缺的情况,从而为权重计算提供了新的简单方法.
[Abstract]:The weight matrix of pair comparison is widely used in comprehensive evaluation calculation. Because of complexity and diversity of the decision makers of objective things know, often causing the inconsistency of the pairwise comparison matrix, non reciprocal and incomplete. The dynamic behavior of comparison matrix corresponding to the repeated adjustment of Markov chain, proved that the process is a regular chain the use of regular chain, and stable distribution as the weight vector method. To satisfy the consistency conditions of the pairwise comparison matrix is consistent with the original method, and can be used conveniently for inconsistency, non reciprocal or incomplete, so as to provide a simple weight calculation method.

【作者单位】：空军预警学院预警情报系;中船重工集团701研究所;华中科技大学自动化学院;武昌首义学院基础科学部;
【分类号】：O211.62

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