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层次分析法方案排序向量的研究
Research on the Priority Vector of Analytic Hierarchy Process
【摘要】 提出了一种确定一族AHP排序向量的新方法.通过引进2个参数,这一方法就能满足决策者对标度喜好和分辨率的要求.由此得出3个重要的结论:方案的优先关系只与行元素乘积的几何平均值有关;得到的排序向量不是固定的而是一族排序向量;在同一准则下,方案权重之比会随着参数的变化而变化,但优先关系不变.最后给出算例说明.
【Abstract】 A new approach to determining a family of priority vectors of Analytic Hierarchy Process(AHP) is proposed,which can meet DM’s demands on favor scale and better Just Noticeable Difference(JND) by introducing two parameters.Three interesting conclusions are deduced as follows:(1) The ordinal relationship of alternatives is only relevant to the geometric mean of elements lined in the same row;(2) Priority vectors are not fixed but a family of ranking vectors;and(3) The ratios of priority should change with parameter,but priority relationship remains unchanged,which are demonstrated with an example.
【Key words】 Analytic Hierarchy Process; priority vector; positive reciprocal matrix; ranking;
- 【文献出处】 重庆工学院学报(自然科学版) ,Journal of Chongqing Institute of Technology(Natural Science Edition) , 编辑部邮箱 ,2007年01期
- 【分类号】O223
- 【被引频次】18
- 【下载频次】386