比例尺度配对比较数据的图形分析

A Graphical Analysis of Ratio-Scaled Paired Comparison Data

Management Science · 1996
被引 42
人大 A+FT50UTD24ABS 4*

中文导读

展示如何用图形方法可视化层次分析法中的比例尺度配对比较数据,并检测受访者判断中的基数与序数不一致性,对AHP用户诊断判断质量有实用价值。

Abstract

One of the building blocks of the Analytic Hierarchy Process (Saaty [Saaty, T. L. 1977. A scaling method for priorities in hierarchical structures. Math. Psych. 15 234–281.]) is the ratio-scaled assessment of an agent's preferences between pairs of alternatives. This article shows how it is possible to visualize such data and to detect cardinal and ordinal inconsistencies in the respondent's judgments. The graphical method used to display preferences is not new in itself: it dates back at least to the work of Gower (Gower, J. C. 1977. The analysis of asymmetry and orthogonality. J.-R. Barra, F. Brodeau, G. Romier, B. Van Cutsem, eds. Recent Developments in Statistics. North-Holland, Amsterdam, 109–123.), and many variants of his technique can be found in the literature. But Gower plots provide an especially valuable diagnostic tool in the context of AHP, as discussed and abundantly illustrated herein.

层次分析法比率标度成对比较Gower图