Studies of calculational method for consistency index and numeric scale in correspondence with verbal scale
The Analytic Hierarchy Process (AHP) allows decision makers (DMs) to entered judgments in the verbal mode. Obviously, a strict reliance on the corresponding Saaty 1-9 numeric scale can induce some inconsistency. Hence, it may be appropriate to calibrate the verbal scale in certain situations. Actually, various DMs have various numeric values even for the same verbal judgment. And for one and the same DM, the corresponding numeric values of verbal scales vary with judgment objects or object properties. We obtain a pedigree of numeric ratio scales, which may be useful substitutes for the Saaty 1-9 scale. Based on this pedigree, we adopt the orthogonal experimental design methods to calculate RI for each size matrix, and calculate the comparative scale advantage, and then filter out the parameter values out of accord with linguistic logic. In our view, reasonable values for the parameter of t range between –0.1 and 2. And the scales do outperform the Saaty 1-9 scale over a wide range of parameter values. Of course, this is not to say that the other scales, including the Saaty 1-9 scale, perform badly.
Analytic hierarchy process (AHP) Expert choice EC) Scale Calibration Orthogonal experimental design methods (OEDM)
Guohua wang Jingxian Chen Liang Liang
School of BusinessNantong UniversityNantong, China School of Management University of Science and Technology of China Hefei, China
国际会议
哈尔滨
英文
131-139
2011-01-18（万方平台首次上网日期，不代表论文的发表时间）