Approaches to multiple attribute decision making based on picture 2-tuple linguistic power Hamy mean aggregation operators

Wei, Guiwu; Wang, Jie; Gao, Hui; Wu, Jiang; Wei, Cun

doi:10.1051/ro/2019101

Wei, Guiwu ; Wang, Jie ; Gao, Hui ; Wu, Jiang ; Wei, Cun

RAIRO. Operations Research, Tome 55 (2021), pp. S435-S460

Résumé

In this paper, the multiple attribute decision making (MADM) problems are investigated with picture 2-tuple linguistic information. Then, based on Hamy mean (HM) operator and dual Hamy mean (DHM) operator, the power average and power geometric operations are utilized to develop some picture 2-tuple linguistic power Hamy mean aggregation operators: picture 2-tuple linguistic power weighted Hamy mean (P2TLPWHM) operator, picture 2-tuple linguistic power weighted dual Hamy mean (P2TLPWDHM) operator, picture 2-tuple linguistic power ordered weighted Hamy mean (P2TLPOWHM) operator, picture 2-tuple linguistic power ordered weighted dual Hamy mean (P2TLPOWDHM) operator, picture 2-tuple linguistic power hybrid Hamy mean (P2TLPHHM) operator and picture 2-tuple linguistic power hybrid dual Hamy mean (P2TLPHDHM) operator. The prominent characteristic of these proposed operators are studied. Then, these operators are utilized to develop some approaches to solve the picture 2-tuple linguistic multiple attribute decision making problems. Finally, the proposed method is demonstrated through a practical example for enterprise resource planning (ERP) system selection of how the proposed methods help us and is effective in MADM problems.

MR

DOI : 10.1051/ro/2019101

Keywords: Multiple attribute decision making (MADM), picture 2-tuple linguistic set, power weighted Hamy mean (PWHM) operator, power weighted dual Hamy mean (PWDHM) operator, enterprise resource planning (ERP)

@article{RO_2021__55_S1_S435_0,
     author = {Wei, Guiwu and Wang, Jie and Gao, Hui and Wu, Jiang and Wei, Cun},
     title = {Approaches to multiple attribute decision making based on picture 2-tuple linguistic power {Hamy} mean aggregation operators},
     journal = {RAIRO. Operations Research},
     pages = {S435--S460},
     year = {2021},
     publisher = {EDP-Sciences},
     volume = {55},
     doi = {10.1051/ro/2019101},
     mrnumber = {4237374},
     language = {en},
     url = {https://www.numdam.org/articles/10.1051/ro/2019101/}
}

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Wei, Guiwu; Wang, Jie; Gao, Hui; Wu, Jiang; Wei, Cun. Approaches to multiple attribute decision making based on picture 2-tuple linguistic power Hamy mean aggregation operators. RAIRO. Operations Research, Tome 55 (2021), pp. S435-S460. doi: 10.1051/ro/2019101

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