层次分析法中数字标度的选择与评价方法研究

Method Research on Selection and Valuation of Numeric Scale in Analytic Hierarchy Process

针对目前在AHP 中常用的各种数字标度,指出了专家语言描述与数字标度之间的不一致性,并提出数字标度的选择与评价应该从其与自然语言描述的符合程度出发,以能够准确表达专家的语言表述作为衡量标准.其次,给出了一类数字标度模型,其基本上可以涵盖目前常用的数字标度.最后,基于合理的语言逻辑假设,给出了一种一般性的评价方法,以便于决策者在实际应用中选择适当的数字标度进行决策,降低了由于数字标度选择不当而带来的决策偏差.

We point out the disagreement between the language description of DM and the numeric relation of scale division in AHP, and suggest setting out from the consistency to the language description of DM for selecting and valuating numeric scales. We also obtain a pedigree of numeric ratio scales including usual numeric scales. In the end, we give out a run-of-mill valuation method on the base of linguistic logic, which can reduce the decision deviation of selecting the numeric scale by error.