Probabilistic dual hesitant fuzzy set and its application in risk evaluation

作者：

Highlights：

• Propose the concept of the probabilistic dual hesitant fuzzy set (PDHFS).

• Define the basic operational laws and some aggregation operators of the PDHFS for the information fusion.

• Propose the concept of entropy for the PDHFS and develop a visual analysis method for the aggregated results.

• Apply the proposed theory and methods to the Arctic geopolitical risk evaluation.

摘要

•Propose the concept of the probabilistic dual hesitant fuzzy set (PDHFS).•Define the basic operational laws and some aggregation operators of the PDHFS for the information fusion.•Propose the concept of entropy for the PDHFS and develop a visual analysis method for the aggregated results.•Apply the proposed theory and methods to the Arctic geopolitical risk evaluation.

论文关键词：Probability,Dual hesitant fuzzy set,Aggregation operators,Cloud model,Risk evaluation

论文评审过程：Received 29 October 2016, Revised 20 February 2017, Accepted 28 February 2017, Available online 9 March 2017, Version of Record 12 May 2017.

论文官网地址：https://doi.org/10.1016/j.knosys.2017.02.033