A unified representation of intuitionistic fuzzy sets, hesitant fuzzy sets and generalized hesitant fuzzy sets based on their u-maps

作者：

Highlights：

• Various higher-order fuzzy set theories (HO-FSTs) have been developed since 1960s.

• Painstaking efforts have been devoted to devising basic measures for these HO-FSTs.

• We present a unified representation for several of these HO-FSTs, based on u-map.

• This effectively dissolves the artificial boundaries between different HO-FSTs.

• Theoretical developments in HO-FSTs can now be done in a much more unified manner.

摘要

•Various higher-order fuzzy set theories (HO-FSTs) have been developed since 1960s.•Painstaking efforts have been devoted to devising basic measures for these HO-FSTs.•We present a unified representation for several of these HO-FSTs, based on u-map.•This effectively dissolves the artificial boundaries between different HO-FSTs.•Theoretical developments in HO-FSTs can now be done in a much more unified manner.

论文关键词：Fuzzy sets,Type-2 fuzzy sets,Intuitionistic fuzzy sets,Hesitant fuzzy sets,Generalized hesitant fuzzy sets

论文评审过程：Received 30 May 2016, Revised 8 September 2016, Accepted 17 October 2016, Available online 17 October 2016, Version of Record 29 October 2016.

论文官网地址：https://doi.org/10.1016/j.eswa.2016.10.040