A u-map representation of general type-2 fuzzy sets via concepts from activation detection: Application to constructing type-2 fuzzy set measures

作者：

Highlights：

• Type-2 fuzzy sets (T2FS) have been shown to be a useful extension to fuzzy sets.

• Substantive efforts have been devoted to simplifying T2FS via new representations.

• However, theoretical difficulties and restrictions have persisted.

• In this article, we propose a new representation for type-2 fuzzy sets.

• We demonstrate the versatility of the new representation in developing T2FS theory.

摘要

•Type-2 fuzzy sets (T2FS) have been shown to be a useful extension to fuzzy sets.•Substantive efforts have been devoted to simplifying T2FS via new representations.•However, theoretical difficulties and restrictions have persisted.•In this article, we propose a new representation for type-2 fuzzy sets.•We demonstrate the versatility of the new representation in developing T2FS theory.

论文关键词：Fuzzy sets,Type-2 fuzzy sets,Fuzzy subsethood,Fuzzy entropy

论文评审过程：Received 24 February 2016, Revised 1 July 2016, Accepted 21 July 2016, Available online 22 July 2016, Version of Record 30 July 2016.

论文官网地址：https://doi.org/10.1016/j.eswa.2016.07.031