Grey relational analysis between hesitant fuzzy sets with applications to pattern recognition

作者：

Highlights：

• Analyze the drawbacks of the existing HFSs fuzzy measures.

• Apply the grey relational analysis to the HFSs for the first time.

• Define the difference and slope concept of the HFSs.

• Propose the HFSs, HFSs slope and HFSs synthetic grey relational degree.

• Apply grey relational analysis to the HFSs pattern recognition problems.

摘要

•Analyze the drawbacks of the existing HFSs fuzzy measures.•Apply the grey relational analysis to the HFSs for the first time.•Define the difference and slope concept of the HFSs.•Propose the HFSs, HFSs slope and HFSs synthetic grey relational degree.•Apply grey relational analysis to the HFSs pattern recognition problems.

论文关键词：Grey relational analysis (GRA),Hesitant fuzzy sets (HFSs),Pattern recognition,Difference of the HFSs,Slope of the HFSs,HFSs synthetic grey relational degree

论文评审过程：Received 2 July 2017, Revised 6 September 2017, Accepted 21 September 2017, Available online 22 September 2017, Version of Record 10 October 2017.

论文官网地址：https://doi.org/10.1016/j.eswa.2017.09.048