Research on the consistency of additive trapezoidal fuzzy preference relations

作者:

Highlights:

• New concepts for ATrFPRs are defined that avoid the issues in previous ones.

• New methods can cope with incomplete ATrFPRs while all previous research cannot.

• New methods based the acceptable consistency have some merits than previous ones.

• Optimization models are more reasonable than the iterative method.

• Numerical examples and comparative analysis are made.

摘要

•New concepts for ATrFPRs are defined that avoid the issues in previous ones.•New methods can cope with incomplete ATrFPRs while all previous research cannot.•New methods based the acceptable consistency have some merits than previous ones.•Optimization models are more reasonable than the iterative method.•Numerical examples and comparative analysis are made.

论文关键词:Decision making,Additive trapezoidal fuzzy preference relation,Additive and multiplicative consistency,Optimization model

论文评审过程:Received 8 February 2020, Revised 31 July 2021, Accepted 29 August 2021, Available online 3 September 2021, Version of Record 9 September 2021.

论文官网地址:https://doi.org/10.1016/j.eswa.2021.115837