New Chebyshev distance measures for Pythagorean fuzzy sets with applications to multiple criteria decision analysis using an extended ELECTRE approach

作者:

Highlights:

• Novel Chebyshev distance measures between Pythagorean membership grades.

• An extended elimination and choice translating reality method via Chebyshev metric.

• Chebyshev metric-based preference functions and concordance/discordance indices.

• Theoretical and comparative analysis with current Pythagorean fuzzy distances.

• Application to bridge-superstructure construction and validation of effectiveness.

摘要

•Novel Chebyshev distance measures between Pythagorean membership grades.•An extended elimination and choice translating reality method via Chebyshev metric.•Chebyshev metric-based preference functions and concordance/discordance indices.•Theoretical and comparative analysis with current Pythagorean fuzzy distances.•Application to bridge-superstructure construction and validation of effectiveness.

论文关键词:Chebyshev distance,Elimination and choice translating reality method (ELECTRE),Multiple criteria decision making,Pythagorean fuzzy set,Chebyshev metric-based preference function

论文评审过程:Received 16 March 2019, Revised 1 December 2019, Accepted 22 December 2019, Available online 26 December 2019, Version of Record 6 January 2020.

论文官网地址:https://doi.org/10.1016/j.eswa.2019.113164