Top

Granular Computing

Published in:

01-06-2024 | Original Paper

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

Author: Jawad Ali

Published in: Granular Computing | Issue 2/2024

Activate our intelligent search to find suitable subject content or patents.

search-config

AI-assisted search

Off

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.

previous article Parametric circular intuitionistic fuzzy information measures and multi-criteria decision making with extended TOPSIS

next article K-Means algorithm based on multi-feature-induced order

Dont have a licence yet? Then find out more about our products and how to get one now:

Springer Professional "Wirtschaft+Technik"

Online-Abonnement

Mit Springer Professional "Wirtschaft+Technik" erhalten Sie Zugriff auf:

über 102.000 Bücher
über 537 Zeitschriften

aus folgenden Fachgebieten:

Automobil + Motoren
Bauwesen + Immobilien
Business IT + Informatik
Elektrotechnik + Elektronik
Energie + Nachhaltigkeit
Finance + Banking
Management + Führung
Marketing + Vertrieb
Maschinenbau + Werkstoffe
Versicherung + Risiko

Jetzt Wissensvorsprung sichern!

inform now

Springer Professional "Technik"

Online-Abonnement

Mit Springer Professional "Technik" erhalten Sie Zugriff auf:

über 67.000 Bücher
über 390 Zeitschriften

aus folgenden Fachgebieten:

Automobil + Motoren
Bauwesen + Immobilien
Business IT + Informatik
Elektrotechnik + Elektronik
Energie + Nachhaltigkeit
Maschinenbau + Werkstoffe

Jetzt Wissensvorsprung sichern!

inform now

Springer Professional "Wirtschaft"

Online-Abonnement

Mit Springer Professional "Wirtschaft" erhalten Sie Zugriff auf:

über 67.000 Bücher
über 340 Zeitschriften

aus folgenden Fachgebieten:

Bauwesen + Immobilien
Business IT + Informatik
Finance + Banking
Management + Führung
Marketing + Vertrieb
Versicherung + Risiko

Jetzt Wissensvorsprung sichern!

inform now

Akram M, Muhammad G, Ahmad D (2023) Analytical solution of the Atangana–Baleanu–Caputo fractional differential equations using Pythagorean fuzzy sets. Granul Comput 8:667–687

Ali J (2022) A \(q\)-rung orthopair fuzzy MARCOS method using novel score function and its application to solid waste management. Appl Intell 52(8):8770–8792MathSciNet

Ali J, Garg H (2023) On spherical fuzzy distance measure and TAOV method for decision-making problems with incomplete weight information. Eng Appl Artif Intell 119:105726

Ali J, Naeem M (2022) Distance and similarity measures for normal wiggly dual hesitant fuzzy sets and their application in medical diagnosis. Sci Rep 12(1):13784

Ali J, Naeem M (2023) \(r, s, t\)-spherical fuzzy VIKOR method and its application in multiple criteria group decision making. IEEE ACCESS 11:46454–46475

Ali J, Bashir Z, Rashid T (2021) WASPAS-based decision making methodology with unknown weight information under uncertain evaluations. Expert Syst Appl 168:114143

Ashraf S, Mehmood T, Abdullah S, Khan Q (2018) Picture fuzzy linguistic sets and their applications for multi-attribute group. Nucleus 55(2):66–73

Atanassov K (1986) Intuitionistics fuzzy sets. Fuzzy Sets Syst 20:87–96

Chen S-M, Jian W-S (2017) Fuzzy forecasting based on two-factors second-order fuzzy-trend logical relationship groups, similarity measures and pso techniques. Inf Sci 391:65–79

Chen S-M, Wang J-Y (1995) Document retrieval using knowledge-based fuzzy information retrieval techniques. IEEE Trans Syst Man Cybern Syst 25(5):793–803

Chen S-M, Wang N-Y (2010) Fuzzy forecasting based on fuzzy-trend logical relationship groups. IEEE Trans Syst Man Cybern Syst, Part B (Cybernetics) 2010:1

Chen S-M, Ko Y-K, Chang Y-C, Pan J-S (2009) Weighted fuzzy interpolative reasoning based on weighted increment transformation and weighted ratio transformation techniques. IEEE Trans Fuzzy Syst 17(6):1412–1427

Chen Z, Liu P, Pei Z (2015) An approach to multiple attribute group decision making based on linguistic intuitionistic fuzzy numbers. Int J Comput Intell Syst 8(4):747–760

Chen S-M, Yao XZ, Gunawan CG (2019a) Fuzzy time series forecasting based on proportions of intervals and particle swarm optimization techniques. Inf Sci 500:127–139

Chen T, He S-S, Wang J-Q, Li L, Luo H (2019b) Novel operations for linguistic neutrosophic sets on the basis of Archimedean copulas and co-copulas and their application in multi-criteria decision-making problems. J Intell Fuzzy Syst 37(2):2887–2912

Chen Z-S, Yang L-L, Rodríguez RM, Xiong S-H, Chin K-S, Martínez L (2021a) Power-average-operator-based hybrid multiattribute online product recommendation model for consumer decision-making. Int J Intell Syst 36(6):2572–2617

Chen Z-S, Zhang X, Govindan K, Wang X-J, Chin K-S (2021b) Third-party reverse logistics provider selection: a computational semantic analysis-based multi-perspective multi-attribute decision-making approach. Expert Syst Appl 166:114051

Cherubini U, Luciano E, Vecchiato W (2004) Copula methods in finance. Wiley, London

Cuong BC, Phong PH (2014) Max–min composition of linguistic intuitionistic fuzzy relations and application in medical diagnosis. VNU J Sci Comput Sci Comput Eng 30(4):57–65

Deb N, Sarkar A, Biswas A (2022) Linguistic \(q\)-rung orthopair fuzzy prioritized aggregation operators based on hamacher \(t\)-norm and \(t\)-conorm and their applications to multicriteria group decision making. Arch Control Sci 32(2):451–484MathSciNet

Garg H (2018) Linguistic pythagorean fuzzy sets and its applications in multiattribute decision-making process. Int J Intell Syst 33(6):1234–1263

Ghailani H, Zaidan A, Qahtan S, Alsattar HA, Al-Emran M, Deveci M, Delen D (2023) Developing sustainable management strategies in construction and demolition wastes using a \(q\)-rung orthopair probabilistic hesitant fuzzy set-based decision modelling approach. Appl Soft Comput 145:110606

Habib A, Khan ZA, Jamil N, Riaz M (2023) A decision-making strategy to combat CO\(_{2}\) emissions using sine trigonometric aggregation operators with cubic bipolar fuzzy input. AIMS Math 8(7):15092–15128

Haque TS, Alam S, Chakraborty A (2022) Selection of most effective COVID-19 virus protector using a novel MCGDM technique under linguistic generalised spherical fuzzy environment. Comput Appl Math 41(2):84MathSciNet

Herrera F, Herrera-Viedma E (2000) Linguistic decision analysis: steps for solving decision problems under linguistic information. Fuzzy Sets Syst 115(1):67–82MathSciNet

Horng Y-J, Chen S-M, Chang Y-C, Lee C-H (2005) A new method for fuzzy information retrieval based on fuzzy hierarchical clustering and fuzzy inference techniques. IEEE Trans Fuzzy Syst 13(2):216–228

Jana C, Garg H, Pal M (2023) Multi-attribute decision making for power Dombi operators under Pythagorean fuzzy information with MABAC method. J Ambient Intell Humaniz Comput 14(8):10761–10778

Jin H, Ashraf S, Abdullah S, Qiyas M, Bano M, Zeng S (2019) Linguistic spherical fuzzy aggregation operators and their applications in multi-attribute decision making problems. Mathematics 7(5):413

Kou Y, Wang J, Xu W, Xu Y (2023) Multi-attribute group decision-making based on linguistic Pythagorean fuzzy copula extended power average operator. Expert Syst 40(7):e13272

Liu P, Zhu B, Wang P, Shen M (2020) An approach based on linguistic spherical fuzzy sets for public evaluation of shared bicycles in china. Eng Appl Artif Intell 87:103295

Liu HB, Liu Y, Xu L, Abdullah S (2021a) Multi-attribute group decision-making for online education live platform selection based on linguistic intuitionistic cubic fuzzy aggregation operators. Comput Appl Math 40:1–34

Liu S, Yu W, Chan FT, Niu B (2021b) A variable weight-based hybrid approach for multi-attribute group decision making under interval-valued intuitionistic fuzzy sets. Int J Intell Syst 36(2):1015–1052

Malka L, Daci A, Kuriqi A, Bartocci P, Rrapaj E (2022) Energy storage benefits assessment using multiple-choice criteria: the case of Drini River Cascade, Albania. Energies 15(11):4032

Naz S, Fatima SS, Butt SA, Tabassum N (2023) A MAGDM model based on 2-tuple linguistic variables and power Hamacher aggregation operators for optimal selection of digital marketing strategies. Granul Comput 8(6):1955–1990

Nelsen RB (2006) An introduction to copulas. Springer, London

Nelsen RB (2007) An introduction to copulas. Springer, London

Parkan C, Wu M-L (1999) Decision-making and performance measurement models with applications to robot selection. Comput Ind Eng 36(3):503–523

Rong Y, Liu Y, Pei Z (2022a) A novel multiple attribute decision-making approach for evaluation of emergency management schemes under picture fuzzy environment. Int J Mach Learn Cybern 13:633–661

Rong Y, Yu L, Niu W, Liu Y, Senapati T, Mishra AR (2022b) MARCOS approach based upon cubic Fermatean fuzzy set and its application in evaluation and selecting cold chain logistics distribution center. Eng Appl Artif Intell 116:105401

Son LH (2016) Generalized picture distance measure and applications to picture fuzzy clustering. Appl Soft Comput 46(C):284–295

Tao Z, Han B, Chen H (2018a) On intuitionistic fuzzy copula aggregation operators in multiple-attribute decision making. Cognit Comput 10:610–624

Tao Z, Han B, Zhou L, Chen H (2018b) The novel computational model of unbalanced linguistic variables based on Archimedean copula. Int J Uncertain Fuzz 26(04):601–631

Wan S-P, Yi Z-H (2015) Power average of trapezoidal intuitionistic fuzzy numbers using strict \(t\)-norms and \(t\)-conorms. IEEE Trans Fuzzy Syst 24(5):1035–1047

Wang X, Triantaphyllou E (2008) Ranking irregularities when evaluating alternatives by using some ELECTRE methods. Omega 36(1):45–63

Wang H, Ju Y, Liu P (2019) Multi-attribute group decision-making methods based on \(q\)-rung Orthopair fuzzy linguistic sets. Int J Intell Syst 34(6):1129–1157

Xian S, Cheng Y, Liu Z (2021) A novel picture fuzzy linguistic Muirhead Mean aggregation operators and their application to multiple attribute decision making. Soft Comput 25(23):14741–14756

Xiong S-H, Chen Z-S, Li Y-L, Chin K-S (2016) On extending power-geometric operators to interval-valued hesitant fuzzy sets and their applications to group decision making. Int J Inf Technol Decis Mak 15(05):1055–1114

Xiong S-H, Chen Z-S, Chang J-P, Chin K-S (2019) On extended power average operators for decision-making: a case study in emergency response plan selection of civil aviation. Comput Ind Eng 130:258–271

Xu Z (2004) A method based on linguistic aggregation operators for group decision making with linguistic preference relations. Inf Sci 166(1–4):19–30MathSciNet

Xu Z (2005) Deviation measures of linguistic preference relations in group decision making. Omega 33(3):249–254

Xu Z, Yager RR (2009) Power-geometric operators and their use in group decision making. IEEE Trans Fuzzy Syst 18(1):94–105

Xu L, Liu Y, Liu H (2020) Linguistic interval-valued intuitionistic fuzzy copula Heronian mean operators for multiattribute group decision-making. J Math 2020:1–25MathSciNet

Yager RR (2001) The power average operator. IEEE Trans Syst Man Cybern Part A Syst Hum 31(6):724–731

Yager RR (2013) Pythagorean membership grades in multicriteria decision making. IEEE Trans Fuzzy Syst 22(4):958–965

Yüksel S, Dinçer H (2022) Identifying the strategic priorities of nuclear energy investments using hesitant 2-tuple interval-valued Pythagorean fuzzy DEMATEL. Prog Nucl Energy 145:104103

Zadeh LA (1965) Fuzzy sets. Inf Control 8(3):338–353

Zadeh LA (1975) The concept of a linguistic variable and its application to approximate reasoning—I. Inf Sci 8(3):199–249MathSciNet

Zhang H (2014) Linguistic intuitionistic fuzzy sets and application in MAGDM. J Appl Math 2014:1–11

Zhou L, Chen H, Liu J (2012) Generalized power aggregation operators and their applications in group decision making. Comput Ind Eng 62(4):989–999

Title: Multiple criteria decision-making based on linguistic spherical fuzzy copula extended power aggregation operators
Author: Jawad Ali
Publication date: 01-06-2024
Publisher: Springer International Publishing
Published in: Granular Computing / Issue 2/2024
Print ISSN: 2364-4966
Electronic ISSN: 2364-4974
DOI: https://doi.org/10.1007/s41066-024-00464-8

Springer Professional

Abstract

Please log in to get access to your license.

Dont have a licence yet? Then find out more about our products and how to get one now:

Springer Professional "Wirtschaft+Technik"

Springer Professional "Technik"

Springer Professional "Wirtschaft"

Other articles of this Issue 2/2024

Multi-criteria decision-making based on intuitionistic fuzzy exponential knowledge and similarity measure and improved VIKOR method

Data literacy evaluation of undergraduate in business majors based on probabilistic linguistic integrated EDAS method

Intuitionistic fuzzy time series forecasting method based on dendrite neuron model and exponential smoothing

Dual probabilistic linguistic consensus reaching method for group decision-making

Multicriteria group decision-making using Archimedean t-norm and t-conorm-based linguistic q-rung orthopair fuzzy generalized operators

Multiple attribute decision making using an enhanced complex proportional assessment method based on probabilistic generalized orthopair fuzzy soft sets

Premium Partner