Group fuzzy comprehensive evaluation method under ignorance

作者:

Highlights:

• Basic probability assignment function is used to extract expert judgment information.

• Two types of super fuzzy relationship matrices on grade's power set are constructed.

• Multi-objective programming is established to derive belief distribution on grades.

• Algorithm is proposed to solve group fuzzy comprehensive evaluation under ignorance.

• The proposed method is compared with three kinds of relevant methods.

摘要

•Basic probability assignment function is used to extract expert judgment information.•Two types of super fuzzy relationship matrices on grade's power set are constructed.•Multi-objective programming is established to derive belief distribution on grades.•Algorithm is proposed to solve group fuzzy comprehensive evaluation under ignorance.•The proposed method is compared with three kinds of relevant methods.

论文关键词:Fuzzy comprehensive evaluation,Group decision making,Shafer's discounting,Dempster's rule,Super fuzzy relationship matrix,Multi-objective programming

论文评审过程:Received 5 January 2018, Revised 30 December 2018, Accepted 2 February 2019, Available online 4 February 2019, Version of Record 19 February 2019.

论文官网地址:https://doi.org/10.1016/j.eswa.2019.02.006