A note on “Picture 2-tuple linguistic aggregation operators in multiple attribute decision making”

Yanbing Ju; Dawei Ju; Aihua Wang

doi:10.1007/s00500-019-04162-5

A note on “Picture 2-tuple linguistic aggregation operators in multiple attribute decision making”

Yanbing Ju^*, Dawei Ju, Aihua Wang

^*Corresponding author for this work

Research output: Contribution to journal › Article › peer-review

10 Citations (Scopus)

Abstract

By combining picture fuzzy set and 2-tuple linguistic representation model, Wei et al. (Soft Comput 22(3):989–1002, 2018) proposed the concept of picture 2-tuple linguistic set and presented some operational laws of picture 2-tuple linguistic numbers (P2TLNs). On the basis of operational laws of P2TLNs, some picture 2-tuple linguistic aggregation operators have been further developed. However, some operational laws and results derived by aggregation operators proposed by Wei et al. (Soft Comput 22(3):989–1002, 2018) are conflict with definition of picture 2-tuple linguistic number (P2TLN). In this short note, we propose some novel operational laws of P2TLNs and develop one adjusted picture 2-tuple linguistic aggregation operator, i.e., the adjusted picture 2-tuple linguistic weighted averaging operator.

Original language	English
Pages (from-to)	3937-3941
Number of pages	5
Journal	Soft Computing
Volume	24
Issue number	6
DOIs	https://doi.org/10.1007/s00500-019-04162-5
Publication status	Published - 1 Mar 2020

Keywords

Adjusted picture 2-tuple linguistic weighted averaging operator
Operational laws of picture 2-tuple linguistic numbers
Picture 2-tuple linguistic set

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10.1007/s00500-019-04162-5

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title = "A note on “Picture 2-tuple linguistic aggregation operators in multiple attribute decision making”",

abstract = "By combining picture fuzzy set and 2-tuple linguistic representation model, Wei et al. (Soft Comput 22(3):989–1002, 2018) proposed the concept of picture 2-tuple linguistic set and presented some operational laws of picture 2-tuple linguistic numbers (P2TLNs). On the basis of operational laws of P2TLNs, some picture 2-tuple linguistic aggregation operators have been further developed. However, some operational laws and results derived by aggregation operators proposed by Wei et al. (Soft Comput 22(3):989–1002, 2018) are conflict with definition of picture 2-tuple linguistic number (P2TLN). In this short note, we propose some novel operational laws of P2TLNs and develop one adjusted picture 2-tuple linguistic aggregation operator, i.e., the adjusted picture 2-tuple linguistic weighted averaging operator.",

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T1 - A note on “Picture 2-tuple linguistic aggregation operators in multiple attribute decision making”

AU - Ju, Yanbing

AU - Ju, Dawei

AU - Wang, Aihua

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AB - By combining picture fuzzy set and 2-tuple linguistic representation model, Wei et al. (Soft Comput 22(3):989–1002, 2018) proposed the concept of picture 2-tuple linguistic set and presented some operational laws of picture 2-tuple linguistic numbers (P2TLNs). On the basis of operational laws of P2TLNs, some picture 2-tuple linguistic aggregation operators have been further developed. However, some operational laws and results derived by aggregation operators proposed by Wei et al. (Soft Comput 22(3):989–1002, 2018) are conflict with definition of picture 2-tuple linguistic number (P2TLN). In this short note, we propose some novel operational laws of P2TLNs and develop one adjusted picture 2-tuple linguistic aggregation operator, i.e., the adjusted picture 2-tuple linguistic weighted averaging operator.

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A note on “Picture 2-tuple linguistic aggregation operators in multiple attribute decision making”

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Keywords

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