An uncertainty-induced axiomatic foundation of the analytic hierarchy process and its implication

作者：

Highlights：

• An uncertainty-induced axiomatic foundation of AHP is proposed.

• A novel concept of reciprocal symmetry breaking is introduced.

• Some interesting facts are derived using the proposed axiomatic foundation.

• An index is proposed to measure approximate consistency of pairwise comparison matrices.

摘要

•An uncertainty-induced axiomatic foundation of AHP is proposed.•A novel concept of reciprocal symmetry breaking is introduced.•Some interesting facts are derived using the proposed axiomatic foundation.•An index is proposed to measure approximate consistency of pairwise comparison matrices.

论文关键词：Decision analysis,Analytic hierarchy process (AHP),Axiomatic foundation,Reciprocal symmetry breaking (RSB),Uncertainty

论文评审过程：Received 7 January 2021, Revised 9 June 2021, Accepted 10 June 2021, Available online 16 June 2021, Version of Record 17 June 2021.

论文官网地址：https://doi.org/10.1016/j.eswa.2021.115427