Novel distance measures for intuitionistic fuzzy sets based on various triangle centers of isosceles triangular fuzzy numbers and their applications

作者：

Highlights：

• Novel distance measures between IFSs proposed based on triangle centers.

• Different notions of centers & their properties are used to discuss the measures.

• The fundamental axioms of the proposed measures are investigated.

• Several cases related to pattern recognition and clustering analysis are analyzed.

• Superiority analysis over the existing approaches is discussed.

摘要

•Novel distance measures between IFSs proposed based on triangle centers.•Different notions of centers & their properties are used to discuss the measures.•The fundamental axioms of the proposed measures are investigated.•Several cases related to pattern recognition and clustering analysis are analyzed.•Superiority analysis over the existing approaches is discussed.

论文关键词：IFS,Similarity/distance measures,Centroid,Orthocenter,Circumcenter,Incenter,Clustering algorithm,TFNs

论文评审过程：Received 24 July 2020, Revised 6 November 2021, Accepted 12 November 2021, Available online 2 December 2021, Version of Record 9 December 2021.

论文官网地址：https://doi.org/10.1016/j.eswa.2021.116228