不确定型AHP中专家可信度计算方法研究-《郑州大学学报(工学版)》

文章信息/Info

Title:: The Research on Computation of Researchers’Certainty Factor of the Indeterminate AHP

Author(s):: CHEN Xiao-zhen1; ZHANG Xue-jun2; 1 . Department of Civil Engineering,Nanyang Institute of Technology,Nanyang 473004, China; 2.School of Mechanic and Au-tomotive Engineering Nanyang Institute of Technology,Nanyang 473004,China

Keywords:: random theory ; durability evaluation; indeterminate judgment matrix ; certainty factor; weightedaverage ; weight coefficient

摘要:: 在桥梁耐久性评估中,不同专家对指标的相对重要性评估的可信度与其经验、研究基础等有关.首先运用向量的相似性理论对不同专家对指标的相对重要性的矩阵的相似性进行研究,确定各专家对指标判断的可信度；然后,参考不同专家对指标相对重要性的评判的不确定判断矩阵,运用随机理论在各个不确定判断矩阵的取值区间内随机选取数值作为两个指标间的相对重要性参数,形成多个确定性判断矩阵,并由各判断矩阵计算各专家对各指标的权重系数矩阵；最后,综合考虑不同专家的可信度、权重系数矩阵,以其加权平均值作为指标的最终权重系数,从而减小了桥梁耐久性评估中评估指标权重系数计算的主观性,使评估结论更具可信性,计算结果与其他方法相比具有较高的精度.

Abstract:: In the durability evaluation of bridge,certainty factor of index ’s relative importance of differentexperts ’evaluation is related to experts’ research experience.Firstly,according to the similarity theory ofvector,the similarity of the relative importance matrix of different experts is studied to determine experts ’certainty factor in this paper; secondly,using different experts’ indeterminate judgment matrix and randomtheory,the random value in the interval of relative importance index is used to form many judgment matrix,and different weight coefficients are obtained according to the above judgment matrix ; lastly , different experts ’certainty factors and weight coefficients are considered together,weighted average of different experts’ weightcoefficients is the final index weight value. Thus,the subjectivity of different experts is reduced and the evalu-ation conclusion is more credible,the research result showed that the computation accuracy in this paper wasvery high.