A new adaptive membership function with CUB uncertainty with application to cluster analysis of Likert-type data

作者：

Highlights：

• An adaptive membership function for fuzzy data is suggested.

• CUB model with covariates is used to estimate individual uncertainty.

• Each item of the Likert-type scale is fuzzified using respondents’ characteristics.

• The proposed function reduces expert intervention in the fuzzification process.

• The case study shows the usefulness of the proposed function in cluster analysis.

摘要

•An adaptive membership function for fuzzy data is suggested.•CUB model with covariates is used to estimate individual uncertainty.•Each item of the Likert-type scale is fuzzified using respondents’ characteristics.•The proposed function reduces expert intervention in the fuzzification process.•The case study shows the usefulness of the proposed function in cluster analysis.

论文关键词：Likert-type variables,Cluster analysis,CUB,Fuzzy numbers

论文评审过程：Received 13 May 2022, Revised 15 September 2022, Accepted 20 September 2022, Available online 28 September 2022, Version of Record 10 October 2022.

论文官网地址：https://doi.org/10.1016/j.eswa.2022.118893