A concrete and rational approach for building type-2 fuzzy subsethood and similarity measures via a generalized foundational model

作者：

Highlights：

• Type-2 fuzzy sets (T2FSs) is being increasingly used in approximate reasoning.

• Subsethood and similarity measures form key basis for machine intelligence tasks.

• But there are very few researches studying T2FS subsethood and similarity measures.

• We apply a generalized foundational model to build such measures systematically.

• We show that our approach is adaptable for building other T2FS measures.

摘要

•Type-2 fuzzy sets (T2FSs) is being increasingly used in approximate reasoning.•Subsethood and similarity measures form key basis for machine intelligence tasks.•But there are very few researches studying T2FS subsethood and similarity measures.•We apply a generalized foundational model to build such measures systematically.•We show that our approach is adaptable for building other T2FS measures.

论文关键词：Fuzzy sets,Type-2 fuzzy sets,Fuzzy subsethood,Fuzzy similarity,Type-2 fuzzy set representation

论文评审过程：Received 12 September 2018, Revised 1 April 2019, Accepted 1 April 2019, Available online 3 April 2019, Version of Record 24 April 2019.

论文官网地址：https://doi.org/10.1016/j.eswa.2019.04.002