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Multiple criteria decision-making based on linguistic spherical fuzzy copula extended power aggregation operators

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Abstract

Linguistic spherical fuzzy set is an efficient tool for expressing the membership, neutral, and non-membership grades of assessment information. Moreover, Archimedean copula and co-copula can formulate key operational rules according to various copula structures. The present study describes some innovative operational rules of linguistic spherical fuzzy values based on Archimedean copula and co-copula and explores their related characteristics. Following these operational rules, several linguistic spherical fuzzy extended power aggregation operators such as copula extended power average operator, copula extended power weighted average operator, copula extended power geometric operator, and copula extended power weighted geometric operator are developed. Meanwhile, numerous properties and peculiar cases of these aggregation operators are investigated at length. Utilizing the presented operators, a decision-making method is built to tackle multi-criteria decision-making problems with unknown weight information. Consequently, a case study of carbon capture and storage technology is addressed to demonstrate the practicability of the framed approach. At last, comparative and sensitivity analyses are performed to illustrate the efficacy and dominance of the developed strategy.

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Data availability

No datasets were generated or analysed during the current study.

Abbreviations

DM:

Decision-making

MCDM:

Multiple criteria DM

DE:

Decision expert

FS:

Fuzzy set

MG:

Membership grade

IFS:

Intuitionistic FS

NMG:

Non-membership grade

PyFS:

Pythagorean FS

DEMATEL:

DM trial and evaluation laboratory

FABCFDEs:

Atangana–Baleanu–Caputo fractional differential equations

LVs:

Linguistic variables

LTSs:

Linguistic term sets

LIFS:

Linguistic intuitionistic FS

LPFS:

Linguistic picture FS

LMG:

Linguistic MG

LNMG:

Linguistic NMG

LNG:

Linguistic neutral grade

LPFS:

Linguistic picture FS

LSFS:

Linguistic spherical fuzzy set

AOs:

Aggregation operators

ACCs:

Archimedean copulas and co-copulas

PA:

Power average

EPA:

Extended PA

CCS:

Carbon capture and storage

LSF:

Linguistic spherical fuzz

LSFCEPA:

LSF copula extended power average

LSFCEPWA:

LSF copula extended power weighted average

LSFCEPG:

LSF copula extended power geometric

LSFCEPWG:

LSF copula extended power weighted geometric

LSFV:

Linguistic spherical fuzzy value

EPG:

Extended power geometric

AMH:

Ali-Mikhail-Haq

L-t-SFWA:

Linguistic-t-spherical fuzzy weighted averaging

LSFWA:

LSF weighted averaging

LSFWA:

LSF weighted averaging

LGSFPWA:

Linguistic generalized spherical fuzzy power weighted averaging

LGSFPWG:

Linguistic generalized spherical fuzzy power weighted averaging

PFLMM:

Picture fuzzy linguistic Muirhead mean

Lq-ROFHPWA:

Linguistic q-rung orthopair fuzzy Hamacher prioritized weighted averaging

Lq-ROFHPWG:

Linguistic q-rung orthopair fuzzy Hamacher prioritized weighted geometric

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  1. Institute of Numerical Sciences, Kohat University of Science and Technology, Kohat, KPK, 26000, Pakistan

    Jawad Ali

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Ali, J. Multiple criteria decision-making based on linguistic spherical fuzzy copula extended power aggregation operators. Granul. Comput. 9, 44 (2024). https://doi.org/10.1007/s41066-024-00464-8

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