A new similarity/distance measure between intuitionistic fuzzy sets based on the transformed isosceles triangles and its applications to pattern recognition

作者:

Highlights:

• We proposed a new similarity/distance measure between intuitionistic fuzzy sets.

• The given IFSs are transformed into the corresponding isosceles triangles.

• The transformed isosceles triangles of IFS are placed in different axes.

• This measure is defined by the intersections of the transformed isosceles triangles.

• This measure is applied to pattern recognition problems to verify its rationality.

摘要

•We proposed a new similarity/distance measure between intuitionistic fuzzy sets.•The given IFSs are transformed into the corresponding isosceles triangles.•The transformed isosceles triangles of IFS are placed in different axes.•This measure is defined by the intersections of the transformed isosceles triangles.•This measure is applied to pattern recognition problems to verify its rationality.

论文关键词:Intuitionistic fuzzy sets,Similarity measure,Distance measure,Transformed isosceles triangles of fuzzy sets,Decision making,Clustering analysis

论文评审过程:Received 23 April 2018, Revised 12 August 2018, Accepted 28 August 2018, Available online 29 August 2018, Version of Record 24 September 2018.

论文官网地址:https://doi.org/10.1016/j.eswa.2018.08.046