Hesitant fuzzy numbers with (α, k)-cuts in compact intervals and applications

作者：

Highlights：

• Extension of the fuzzy numbers into hesitant fuzzy numbers.

• Introduction a new hesitation fuzzy relationship to compare two HFNs.

• Introduction a new binary operation on hesitant fuzzy numbers.

• Solving a linear programming with hesitant fuzzy parameters.

摘要

•Extension of the fuzzy numbers into hesitant fuzzy numbers.•Introduction a new hesitation fuzzy relationship to compare two HFNs.•Introduction a new binary operation on hesitant fuzzy numbers.•Solving a linear programming with hesitant fuzzy parameters.

论文关键词：Hesitant fuzzy number,(α, k)-cut,Hesitant fuzzy linear programming

论文评审过程：Received 7 November 2019, Revised 24 February 2020, Accepted 5 March 2020, Available online 6 March 2020, Version of Record 14 March 2020.

论文官网地址：https://doi.org/10.1016/j.eswa.2020.113363