Analyzing Saaty's consistency test in pairwise comparison method: a perspective based on linguistic and numerical scale

作者：Zhang, Hengjie; Chen, Xin; Dong, Yucheng^*; Xu, Weijun; Wang, Shihua

来源：Soft Computing, 2018, 22(6): 1933-1943.

DOI：10.1007/s00500-016-2454-x

• Multiple attribute decision making
• Pairwise comparison matrix
• Consistency
• Numerical scale
• The 2-tuple linguistic representation model
• Consistency-driven linguistic methodology

The consistency test is a vital basis of the pairwise comparison method, which is performed to ensure that the decision maker is being logical in his/her pairwise comparisons. In the analytic hierarchy process, the pairwise comparison method with a fixed numerical scale has been employed. In this study, we provide a systematic review analysis regarding the inconsistency causes in the pairwise comparison method with a fixed numerical scale, and propose the paradoxes on Saaty's consistency test in this pairwise comparison method. Meanwhile, based on the use of the consistency-driven linguistic methodology, we propose a novel approach from a perspective of the linguistic and numerical scale to deal with the inconsistency in the pairwise comparison method.

• 出版日期2018-3
• 单位四川大学; 广东石油化工学院; 华南理工大学; 北京林业大学