Numerical scales generated individually for analytic hierarchy process

作者：Dong Yucheng^*; Hong Wei Chiang; Xu Yinfeng; Yu Shui

来源：European Journal of Operational Research, 2013, 229(3): 654-662.

DOI：10.1016/j.ejor.2013.03.019

• Decision analysis
• AHP
• 2-Tuple linguistic representation model
• Numerical scale

Because individual interpretations of the analytic hierarchy process (AHP) linguistic scale vary for each user, this study proposes a novel framework that AHP decision makers can use to generate numerical scales individually, based on the 2-tuple linguistic modeling of AHP scale problems. By using the concept of transitive calibration, individual characteristics in understanding the AHP linguistic scale are first defined. An algorithm is then proposed for detecting the individual characteristics from the linguistic pairwise comparison data that is associated with each of the AHP individual decision makers. Finally, a nonlinear programming model is proposed to generate individual numerical scales that optimally match the obtained individual characteristics. Two well-known numerical examples are re-examined using the proposed framework to demonstrate its validity.

• 出版日期2013-9-16
• 单位四川大学; 迪肯大学