Ordering of interval-valued Fermatean fuzzy sets and its applications

作者：

Highlights：

• The concept of interval-valued Fermatean fuzzy sets (IVFFSs) is proposed.

• A new total ordering principle on the class of IVFFNs is introduced.

• Distance Measure and Similarity Measure on the class of IVFFNs is introduced.

• An interval-valued Fermatean fuzzy TOPSIS (IVFFTOPSIS) method is introduced.

• Applicability of proposed IVFFTOPSIS method in solving MCDM problem is shown

摘要

•The concept of interval-valued Fermatean fuzzy sets (IVFFSs) is proposed.•A new total ordering principle on the class of IVFFNs is introduced.•Distance Measure and Similarity Measure on the class of IVFFNs is introduced.•An interval-valued Fermatean fuzzy TOPSIS (IVFFTOPSIS) method is introduced.•Applicability of proposed IVFFTOPSIS method in solving MCDM problem is shown

论文关键词：Interval-valued Fermatean fuzzy sets,Membership score,Hesitancy score,Precise score,Complete score function,Ordering principle,Distance measure,MCDM,IVFFTOPSIS

论文评审过程：Received 19 September 2020, Revised 8 July 2021, Accepted 12 July 2021, Available online 17 July 2021, Version of Record 22 July 2021.

论文官网地址：https://doi.org/10.1016/j.eswa.2021.115613