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

School of Management

Beijing Institute of Technology
Peking University

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

11 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

Access to Document

10.1007/s00500-019-04162-5

Cite this

@article{377fbbd9cd534008af03650c8efa5275,

title = "A note on {\textquotedblleft}Picture 2-tuple linguistic aggregation operators in multiple attribute decision making{\textquotedblright}",

abstract = "By combining picture fuzzy set and 2-tuple linguistic representation model, Wei et al. (Soft Comput 22(3):989{\textendash}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{\textendash}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.",

keywords = "Adjusted picture 2-tuple linguistic weighted averaging operator, Operational laws of picture 2-tuple linguistic numbers, Picture 2-tuple linguistic set",

author = "Yanbing Ju and Dawei Ju and Aihua Wang",

note = "Publisher Copyright: {\textcopyright} 2019, Springer-Verlag GmbH Germany, part of Springer Nature.",

year = "2020",

month = mar,

day = "1",

doi = "10.1007/s00500-019-04162-5",

language = "English",

volume = "24",

pages = "3937--3941",

journal = "Soft Computing",

issn = "1432-7643",

publisher = "Springer Science and Business Media Deutschland GmbH",

number = "6",

}

TY - JOUR

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

AU - Ju, Yanbing

AU - Ju, Dawei

AU - Wang, Aihua

PY - 2020/3/1

Y1 - 2020/3/1

N2 - 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.

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.

KW - Adjusted picture 2-tuple linguistic weighted averaging operator

KW - Operational laws of picture 2-tuple linguistic numbers

KW - Picture 2-tuple linguistic set

UR - https://www.scopus.com/pages/publications/85068117965

U2 - 10.1007/s00500-019-04162-5

DO - 10.1007/s00500-019-04162-5

M3 - Article

AN - SCOPUS:85068117965

SN - 1432-7643

VL - 24

SP - 3937

EP - 3941

JO - Soft Computing

JF - Soft Computing

IS - 6

ER -

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

Abstract

Keywords

Access to Document

Other files and links

Fingerprint

Cite this