2DLIF-PROMETHEE based on the hybrid distance of 2-dimension linguistic intuitionistic fuzzy sets for multiple attribute decision making

作者：

Highlights：

• Euclidean distance for 2DLIFSs is proposed to measure the difference of 2DLIFSs.

• Cosine similarity for 2DLIFSs is introduced to measure the similarity of 2DLIFSs.

• A hybrid distance for 2DLIFSs is presented by combining the above two measures.

• Six improved functions are proposed based on the hybrid distance for 2DLIFSs.

• The 2DLIF-PROMETHEE methods are developed to handle MADM problems.

摘要

•Euclidean distance for 2DLIFSs is proposed to measure the difference of 2DLIFSs.•Cosine similarity for 2DLIFSs is introduced to measure the similarity of 2DLIFSs.•A hybrid distance for 2DLIFSs is presented by combining the above two measures.•Six improved functions are proposed based on the hybrid distance for 2DLIFSs.•The 2DLIF-PROMETHEE methods are developed to handle MADM problems.

论文关键词：Multiple attribute decision making (MADM),2-dimension linguistic intuitionistic fuzzy set (2DLIFS),Euclidean distance,Cosine similarity,Hybrid distance,Preference ranking organization method for enrichment evaluation (PROMETHEE)

论文评审过程：Received 1 December 2021, Revised 5 April 2022, Accepted 9 April 2022, Available online 19 April 2022, Version of Record 30 April 2022.

论文官网地址：https://doi.org/10.1016/j.eswa.2022.117219