Effective multi-attribute group decision-making approach to study astronomy in the probabilistic linguistic q-rung orthopair fuzzy VIKOR framework

This study employs a novel fuzzy logic-based framework to address multi-attribute group decision-making problems commonly encountered in modern astronomy. Our approach utilizes the probabilistic linguistic q-rung orthopair fuzzy set (PLq-ROFS) to handle the inherent uncertainties associated with ast...

Full description

Autores:
Naz, Sumera
Fatima, Areej
Aziz But, Shariq
Pamucar, Dragan
Zamora-Musa, Ronald
Acosta-Coll, Melisa
Tipo de recurso:
Article of investigation
Fecha de publicación:
2024
Institución:
Corporación Universidad de la Costa
Repositorio:
REDICUC - Repositorio CUC
Idioma:
eng
OAI Identifier:
oai:repositorio.cuc.edu.co:11323/13523
Acceso en línea:
https://hdl.handle.net/11323/13523
https://repositorio.cuc.edu.co/
Palabra clave:
PLq-ROFS
PLq-ROFWPA operator
PLq-ROFWPG operator
VIKOR model
Rights
openAccess
License
Atribución-NoComercial 4.0 Internacional (CC BY-NC 4.0)
id RCUC2_a9e65b85f8cdcccd4b332525d58f85f9
oai_identifier_str oai:repositorio.cuc.edu.co:11323/13523
network_acronym_str RCUC2
network_name_str REDICUC - Repositorio CUC
repository_id_str
dc.title.eng.fl_str_mv Effective multi-attribute group decision-making approach to study astronomy in the probabilistic linguistic q-rung orthopair fuzzy VIKOR framework
title Effective multi-attribute group decision-making approach to study astronomy in the probabilistic linguistic q-rung orthopair fuzzy VIKOR framework
spellingShingle Effective multi-attribute group decision-making approach to study astronomy in the probabilistic linguistic q-rung orthopair fuzzy VIKOR framework
PLq-ROFS
PLq-ROFWPA operator
PLq-ROFWPG operator
VIKOR model
title_short Effective multi-attribute group decision-making approach to study astronomy in the probabilistic linguistic q-rung orthopair fuzzy VIKOR framework
title_full Effective multi-attribute group decision-making approach to study astronomy in the probabilistic linguistic q-rung orthopair fuzzy VIKOR framework
title_fullStr Effective multi-attribute group decision-making approach to study astronomy in the probabilistic linguistic q-rung orthopair fuzzy VIKOR framework
title_full_unstemmed Effective multi-attribute group decision-making approach to study astronomy in the probabilistic linguistic q-rung orthopair fuzzy VIKOR framework
title_sort Effective multi-attribute group decision-making approach to study astronomy in the probabilistic linguistic q-rung orthopair fuzzy VIKOR framework
dc.creator.fl_str_mv Naz, Sumera
Fatima, Areej
Aziz But, Shariq
Pamucar, Dragan
Zamora-Musa, Ronald
Acosta-Coll, Melisa
dc.contributor.author.none.fl_str_mv Naz, Sumera
Fatima, Areej
Aziz But, Shariq
Pamucar, Dragan
Zamora-Musa, Ronald
Acosta-Coll, Melisa
dc.subject.proposal.eng.fl_str_mv PLq-ROFS
PLq-ROFWPA operator
PLq-ROFWPG operator
VIKOR model
topic PLq-ROFS
PLq-ROFWPA operator
PLq-ROFWPG operator
VIKOR model
description This study employs a novel fuzzy logic-based framework to address multi-attribute group decision-making problems commonly encountered in modern astronomy. Our approach utilizes the probabilistic linguistic q-rung orthopair fuzzy set (PLq-ROFS) to handle the inherent uncertainties associated with astronomical data. The PLq-ROFS offers significant advantages over existing fuzzy sets like probabilistic hesitant, linguistic intuitionistic, and linguistic Pythagorean fuzzy sets, which comprise both stochastic and non-stochastic uncertainties simultaneously. To aggregate the probabilistic linguistic decision information effectively, we propose two novel operators: the PLq-ROF weighted power average (PLq-ROFWPA) and the PLq-ROF weighted power geometric (PLq-ROFWPG). These operators form the foundation of a novel method within the PLq-ROF environment. Furthermore, this study integrates the PLq-ROF framework with the VIseKriterijumska Optimizacija I Kompromisno Resenje (VIKOR) model, a widely used decision-making (DM) tool known for its ability to balance group utility maximization with individual regret minimization. This integration leads to the PLq-ROF-VIKOR model, a novel approach for ranking alternative solutions based on the subjective preferences of decision-makers. The effectiveness of the proposed method is demonstrated through a real-world case study in astronomy, accompanied by both parameter and comparative analyses. These analyses highlight the efficiency and accuracy of the PLq-ROF-VIKOR model, ultimately leading to the conclusion that cosmology is the most optimal key finding in this case study.
publishDate 2024
dc.date.accessioned.none.fl_str_mv 2024-10-24T15:43:07Z
dc.date.available.none.fl_str_mv 2024-10-24T15:43:07Z
dc.date.issued.none.fl_str_mv 2024-06-30
dc.type.none.fl_str_mv Artículo de revista
dc.type.coar.none.fl_str_mv http://purl.org/coar/resource_type/c_2df8fbb1
dc.type.content.none.fl_str_mv Text
dc.type.driver.none.fl_str_mv info:eu-repo/semantics/article
dc.type.redcol.none.fl_str_mv http://purl.org/redcol/resource_type/ART
dc.type.version.none.fl_str_mv info:eu-repo/semantics/publishedVersion
dc.type.coarversion.none.fl_str_mv http://purl.org/coar/version/c_970fb48d4fbd8a85
format http://purl.org/coar/resource_type/c_2df8fbb1
status_str publishedVersion
dc.identifier.citation.none.fl_str_mv Sumera Naz, Areej Fatima, Shariq Aziz But, Dragan Pamucar, Ronald Zamora-Musa, Melisa Acosta-Coll, Effective multi-attribute group decision-making approach to study astronomy in the probabilistic linguistic q-rung orthopair fuzzy VIKOR framework, Heliyon, Volume 10, Issue 12, 2024, e33004, ISSN 2405-8440, https://doi.org/10.1016/j.heliyon.2024.e33004.
dc.identifier.uri.none.fl_str_mv https://hdl.handle.net/11323/13523
dc.identifier.doi.none.fl_str_mv 10.1016/j.heliyon.2024.e33004
dc.identifier.eissn.none.fl_str_mv 2405-8440
dc.identifier.instname.none.fl_str_mv Corporación Universidad de la Costa
dc.identifier.reponame.none.fl_str_mv REDICUC - Repositorio CUC
dc.identifier.repourl.none.fl_str_mv https://repositorio.cuc.edu.co/
identifier_str_mv Sumera Naz, Areej Fatima, Shariq Aziz But, Dragan Pamucar, Ronald Zamora-Musa, Melisa Acosta-Coll, Effective multi-attribute group decision-making approach to study astronomy in the probabilistic linguistic q-rung orthopair fuzzy VIKOR framework, Heliyon, Volume 10, Issue 12, 2024, e33004, ISSN 2405-8440, https://doi.org/10.1016/j.heliyon.2024.e33004.
10.1016/j.heliyon.2024.e33004
2405-8440
Corporación Universidad de la Costa
REDICUC - Repositorio CUC
url https://hdl.handle.net/11323/13523
https://repositorio.cuc.edu.co/
dc.language.iso.none.fl_str_mv eng
language eng
dc.relation.ispartofjournal.none.fl_str_mv Heliyon
dc.relation.references.none.fl_str_mv [1] N. Aksaker, S.K. Yerli, M.A. Erdogan, Z. Kurt, K. Kaba, M. Bayazit, C. Yesilyaprak, Global site selection for astronomy, Mon. Not. R. Astron. Soc. 493 (1) (2020) 1204–1216.
[2] M. Akram, S. Naz, F. Feng, G. Ali, A. Shafiq, Extended MABAC method based on 2-tuple linguistic -spherical fuzzy sets and Heronian mean operators: an application to alternative fuel selection, AIMS Math. 8 (5) (2023) 10619–10653.
[3] M. Akram, S. Naz, G. Santos-Garcia, M.R. Saeed, Extended CODAS method for MAGDM with 2-tuple linguistic -spherical fuzzy sets, AIMS Math. 8 (2) (2023) 3428–3468.
[4] S. Ali, H. Naveed, I. Siddique, R.M. Zulqarnain, Extension of interaction geometric aggregation operator for material selection using interval-valued intuitionistic fuzzy hypersoft set, J. Oper. Intell. 2 (1) (2024) 14–35.
[5] K.T. Atanassov, Intuitionistic fuzzy sets, Fuzzy Sets Syst. 20 (1) (1986) 87–96.
[6] K. Bell, M. Reed, The tree of participation: a new model for inclusive decision-making, Community Dev. J. 57 (4) (2022) 595–614
[7] L. Chen, X. Gou, The application of probabilistic linguistic CODAS method based on new score function in multi-criteria decision-making, Comput. Appl. Math. 41 (2022) 1–25.
[8] S. Chen, C. Zhang, S. Zeng, Y. Wang, W. Su, A probabilistic linguistic and dual trust network-based user collaborative filtering model, Artif. Intell. Rev. 56 (1) (2023) 429–455.
[9] H.A. Dagistanli, An interval-valued intuitionistic fuzzy VIKOR approach for R&D project selection in defense industry investment decisions, J. Soft Comput. Decis. Anal. 2 (1) (2024) 1–13
[10] H. Dawid, P. Harting, S. Van der Hoog, M. Neugart, Macroeconomics with heterogeneous agent models: fostering transparency, reproducibility and replication, J. Evol. Econ. 29 (2019) 467–538.
[11] X. Du, K. Lu, Y. Nie, S. Qiu, Information fusion model of group decision making based on a combinatorial ordered weighted average operator, IEEE Access 11 (2023) 4694–4702.
[12] L.I. Tang, From KARST to FAST: the conceptual origin of fast and its decision-making process, Chin. Astron. Astrophys. 47 (2) (2023) 424–440.
[13] F. Gao, M. Han, S. Wang, J. Gao, A novel Fermatean fuzzy BWM-VIKOR based multi-criteria decision-making approach for selecting health care waste treatment technology, Eng. Appl. Artif. Intell. 127 (2024) 107451.
[14] X. Gou, Z. Xu, H. Liao, Multiple criteria decision making based on Bonferroni means with hesitant fuzzy linguistic information, Soft Comput. 21 (21) (2017) 6515–6529.
[15] C. Jana, H. Garg, M. Pal, Multi-attribute decision making for power Dombi operators under Pythagorean fuzzy information with MABAC method, J. Ambient Intell. Humaniz. Comput. 14 (8) (2023) 10761–10778.
[16] Q. Kong, L. Wu, Combinatorial design of the MAUT and PAMSSEM II methods for multiple attributes group decision making with probabilistic linguistic information, Soft Comput. 27 (4) (2023) 2093–2108.
[17] K. Kumar, S.M. Chen, Multiple attribute group decision making based on advanced linguistic intuitionistic fuzzy weighted averaging aggregation operator of linguistic intuitionistic fuzzy numbers, Inf. Sci. 587 (2022) 813–824.
[18] K. Kumar, S.M. Chen, Group decision making based on improved linguistic interval-valued Atanassov intuitionistic fuzzy weighted averaging aggregation operator of linguistic interval-valued Atanassov intuitionistic fuzzy numbers, Inf. Sci. 607 (2022) 884–900.
[19] F. Lei, Q. Cai, N. Liao, G. Wei, Y. He, J. Wu, C. Wei, TODIM-VIKOR method based on hybrid weighted distance under probabilistic uncertain linguistic information and its application in medical logistics center site selection, Soft Comput. 27 (2023) 8541–8559.
[20] P. Li, Z. Xu, J. Liu, C. Wei, Social network group decision-making for probabilistic linguistic information based on GRA, Comput. Ind. Eng. 175 (2023) 108861.
[21] B. Limboo, P. Dutta, A -rung orthopair basic probability assignment and its application in medical diagnosis, Decis. Mak. Appl. Manag. Eng. 5 (1) (2022) 290–308.
[22] P. Liu, Z. Ali, T. Mahmood, Archimedean aggregation operators based on complex Pythagorean fuzzy sets using confidence levels and their application in decision making, Int. J. Fuzzy Syst. 25 (1) (2023) 42–58.
[23] D. Liu, A. Huang, Consensus reaching process for fuzzy behavioral TOPSIS method with probabilistic linguistic -rung orthopair fuzzy set based on correlation measure, Int. J. Intell. Syst. 35 (3) (2020) 494–528.
[24] Y. Ma, Y. Zhao, X. Wang, C. Feng, X. Zhou, B. Lev, Integrated BWM-entropy weighting and MULTIMOORA method with probabilistic linguistic information for the evaluation of waste recycling apps, Appl. Intell. 53 (1) (2023) 813–836.
[25] Q. Mao, M. Guo, J. Lv, J. Chen, M. Tian, A multi-criteria group decision-making framework for investment assessment of offshore floating wind-solar-aquaculture project under probabilistic linguistic environment, Environ. Sci. Pollut. Res. 30 (2023) 40752–40782.
[26] A. Naseem, M. Akram, K. Ullah, Z. Ali, Aczel-Alsina aggregation operators based on complex single-valued neutrosophic information and their application in decision-making problems, Decis. Mak. Adv. 1 (1) (2023) 86–114.
[27] S. Naz, M. Akram, M.M.A. Al-Shamiri, M.M. Khalaf, G. Yousaf, A new MAGDM method with 2-tuple linguistic bipolar fuzzy Heronian mean operators, Math. Biosci. Eng. 19 (4) (2022) 3843–3878.
[28] S. Naz, M. Akram, M.M. ul Hassan, A. Fatima, A hybrid DEMATEL-TOPSIS approach using 2-tuple linguistic -rung orthopair fuzzy information and its application in renewable energy resource selection, Int. J. Inf. Technol. Decis. Mak. 1 (44) (2023), https://doi.org/10.1142/S0219622023500323.
[29] R.X. Nie, J.Q. Wang, Prospect theory-based consistency recovery strategies with multiplicative probabilistic linguistic preference relations in managing group decision making, Arab. J. Sci. Eng. 45 (3) (2020) 2113–2130.
[30] Q. Pang, H. Wang, Z. Xu, Probabilistic linguistic term sets in multi-attribute group decision making, Inf. Sci. 369 (2016) 128–143
[31] M.J. Ranjan, B.P. Kumar, T.D. Bhavani, A.V. Padmavathi, V. Bakka, Probabilistic linguistic -rung orthopair fuzzy Archimedean aggregation operators for group decision-making, Decis. Mak. Appl. Manag. Eng. 6 (2) (2023) 639–667.
[32] M. Riaz, A. Habib, M. Saqlain, M.S. Yang, Cubic bipolar fuzzy-VIKOR method using new distance and entropy measures and Einstein averaging aggregation operators with application to renewable energy, Int. J. Fuzzy Syst. 25 (2) (2023) 510–543.
[33] P. Sunthrayuth, F. Jarad, J. Majdoubi, R.M. Zulqarnain, A. Iampan, I. Siddique, A novel multicriteria decision-making approach for Einstein weighted average operator under Pythagorean fuzzy hypersoft environment, J. Math. (2022), https://doi.org/10.1155/2022/1951389.
[34] M.R. Seikh, U. Mandal, -rung orthopair fuzzy Archimedean aggregation operators: application in the site selection for software operating units, Symmetry 15 (9) (2023) 1680.
[35] M.R. Seikh, U. Mandal, Q-rung orthopair fuzzy Frank aggregation operators and its application in multiple attribute decision-making with unknown attribute weights, Granul. Comput. 1 (22) (2022), https://doi.org/10.1007/s41066-021-00290-2.
[36] M.R. Seikh, U. Mandal, Multiple attribute group decision-making based on quasirung orthopair fuzzy sets: application to electric vehicle charging station site selection problem, Eng. Appl. Artif. Intell. 115 (2022) 105299.
[37] M.R. Seikh, U. Mandal, Multiple attribute decision-making based on 3, 4-quasirung fuzzy sets, Granul. Comput. 1 (14) (2022), https://doi.org/10.1007/s41066- 021-00308-9.
[38] H. Taherdoost, M. Madanchian, VIKOR method-an effective compromising ranking technique for decision making, Macro Manag. Public Polic. 5 (2) (2023) 27–33.
[39] D.K. Tripathi, S.K. Nigam, P. Rani, A.R. Shah, New intuitionistic fuzzy parametric divergence measures and score function-based CoCoSo method for decisionmaking problems, Decis. Mak. Appl. Manag. Eng. 6 (1) (2023) 535–563.
[40] Y. Tuskan, E. Basari, Evaluation of sustainable slope stability with anti-slide piles using an integrated AHP-VIKOR methodology, Sustainability 15 (15) (2023) 12075.
[41] R. Verma, A. Mittal, Multiple attribute group decision-making based on novel probabilistic ordered weighted cosine similarity operators with Pythagorean fuzzy information, Granul. Comput. 8 (1) (2023) 111–129.
[42] P. Wang, B. Zhu, Y. Yu, Z. Ali, B. Almohsen, Complex intuitionistic fuzzy DOMBI prioritized aggregation operators and their application for resilient green supplier selection, Facta Univ. Ser. Mech. Eng. 21 (3) (2023) 339–357.
[43] G. Wei, C. Wei, J. Wu, H. Wang, Supplier selection of medical consumption products with a probabilistic linguistic MABAC method, Int. J. Environ. Res. Public Health 16 (24) (2019) 5082.
[44] Z. Xu, Deviation measures of linguistic preference relations in group decision making, Omega 33 (3) (2005) 249–254.
[45] Z. Xu, R.R. Yager, Power-geometric operators and their use in group decision making, IEEE Trans. Fuzzy Syst. 18 (1) (2009) 94–105.
[46] H. Xie, Z. Kang, X. Jiang, Astrosa: an astronomical observation scheduler assessment framework in python, Astron. Comput. 100 (806) (2024), https://doi.org/ 10.1016/j.ascom.2024.100806.
[47] R. Yadav, M. Singh, A. Meena, S.Y. Lee, S.J. Park, Selection and ranking of dental restorative composite materials using hybrid Entropy-VIKOR method: an application of MCDM technique, J. Mech. Behav. Biomed. Mater. 147 (2023) 106103.
[48] R.R. Yager, The power average operator, IEEE Trans. Syst. Man Cybern., Part A, Syst. Hum. 31 (6) (2001) 724–731.
[49] R.R. Yager, Pythagorean membership grades in multicriteria decision making, IEEE Trans. Fuzzy Syst. 22 (4) (2013) 958–965.
[50] R.R. Yager, Generalized orthopair fuzzy sets, IEEE Trans. Fuzzy Syst. 25 (5) (2016) 1222–1230.
[51] X. Yang, Z. Chen, A hybrid approach based on Monte Carlo simulation-VIKOR method for water quality assessment, Ecol. Indic. 150 (2023) 110202.
[52] B.F. Yildirim, S. Kuzu Yildirim, Evaluating the satisfaction level of citizens in municipality services by using picture fuzzy VIKOR method: 2014-2019 period analysis, Decis. Mak. Appl. Manag. Eng. 5 (1) (2022) 50–66.
[53] L.A. Zadeh, Fuzzy sets, Inf. Control 8 (3) (1965) 338–353.
[54] L.A. Zadeh, The concept of a linguistic variable and its application to approximate reasoning-I, Inf. Sci. 8 (3) (1975) 199–249.
[55] S. Zhang, F. Xiao, A TFN-based uncertainty modeling method in complex evidence theory for decision making, Inf. Sci. 619 (2023) 193–207.
[56] N. Zhang, Y. Zhou, J. Liu, G. Wei, VIKOR method for Pythagorean hesitant fuzzy multi-attribute decision-making based on regret theory, Eng. Appl. Artif. Intell. 126 (2023) 106857.
dc.relation.citationendpage.none.fl_str_mv 26
dc.relation.citationstartpage.none.fl_str_mv 1
dc.relation.citationissue.none.fl_str_mv 12
dc.relation.citationvolume.none.fl_str_mv 10
dc.rights.eng.fl_str_mv © 2024 The Author(s). Published by Elsevier Ltd.
dc.rights.license.none.fl_str_mv Atribución-NoComercial 4.0 Internacional (CC BY-NC 4.0)
dc.rights.uri.none.fl_str_mv https://creativecommons.org/licenses/by-nc/4.0/
dc.rights.accessrights.none.fl_str_mv info:eu-repo/semantics/openAccess
dc.rights.coar.none.fl_str_mv http://purl.org/coar/access_right/c_abf2
rights_invalid_str_mv Atribución-NoComercial 4.0 Internacional (CC BY-NC 4.0)
© 2024 The Author(s). Published by Elsevier Ltd.
https://creativecommons.org/licenses/by-nc/4.0/
http://purl.org/coar/access_right/c_abf2
eu_rights_str_mv openAccess
dc.format.extent.none.fl_str_mv 26 páginas
dc.format.mimetype.none.fl_str_mv application/pdf
dc.publisher.none.fl_str_mv Elsevier B.V.
dc.publisher.place.none.fl_str_mv Netherlands
publisher.none.fl_str_mv Elsevier B.V.
dc.source.none.fl_str_mv https://www.sciencedirect.com/science/article/pii/S2405844024090352
institution Corporación Universidad de la Costa
bitstream.url.fl_str_mv https://repositorio.cuc.edu.co/bitstreams/7ff0adc2-b971-4448-bf57-bb4f16ecde80/download
https://repositorio.cuc.edu.co/bitstreams/c4849813-b10b-4d71-91fa-9fa5fbd370c8/download
https://repositorio.cuc.edu.co/bitstreams/e6b2e326-3a1f-4d63-8dee-a390dce59ab6/download
https://repositorio.cuc.edu.co/bitstreams/5cb46b34-1080-482f-930a-b354f8f46a12/download
bitstream.checksum.fl_str_mv 01775400eeb4d4376e8a687b0a1c7280
73a5432e0b76442b22b026844140d683
88b246a481a17c11d8a10d73c459b147
5bf951082095e6d78c036f74da071268
bitstream.checksumAlgorithm.fl_str_mv MD5
MD5
MD5
MD5
repository.name.fl_str_mv Repositorio de la Universidad de la Costa CUC
repository.mail.fl_str_mv repdigital@cuc.edu.co
_version_ 1828166774916382720
spelling Atribución-NoComercial 4.0 Internacional (CC BY-NC 4.0)© 2024 The Author(s). Published by Elsevier Ltd.https://creativecommons.org/licenses/by-nc/4.0/info:eu-repo/semantics/openAccesshttp://purl.org/coar/access_right/c_abf2Naz, SumeraFatima, AreejAziz But, ShariqPamucar, DraganZamora-Musa, RonaldAcosta-Coll, Melisa2024-10-24T15:43:07Z2024-10-24T15:43:07Z2024-06-30Sumera Naz, Areej Fatima, Shariq Aziz But, Dragan Pamucar, Ronald Zamora-Musa, Melisa Acosta-Coll, Effective multi-attribute group decision-making approach to study astronomy in the probabilistic linguistic q-rung orthopair fuzzy VIKOR framework, Heliyon, Volume 10, Issue 12, 2024, e33004, ISSN 2405-8440, https://doi.org/10.1016/j.heliyon.2024.e33004.https://hdl.handle.net/11323/1352310.1016/j.heliyon.2024.e330042405-8440Corporación Universidad de la CostaREDICUC - Repositorio CUChttps://repositorio.cuc.edu.co/This study employs a novel fuzzy logic-based framework to address multi-attribute group decision-making problems commonly encountered in modern astronomy. Our approach utilizes the probabilistic linguistic q-rung orthopair fuzzy set (PLq-ROFS) to handle the inherent uncertainties associated with astronomical data. The PLq-ROFS offers significant advantages over existing fuzzy sets like probabilistic hesitant, linguistic intuitionistic, and linguistic Pythagorean fuzzy sets, which comprise both stochastic and non-stochastic uncertainties simultaneously. To aggregate the probabilistic linguistic decision information effectively, we propose two novel operators: the PLq-ROF weighted power average (PLq-ROFWPA) and the PLq-ROF weighted power geometric (PLq-ROFWPG). These operators form the foundation of a novel method within the PLq-ROF environment. Furthermore, this study integrates the PLq-ROF framework with the VIseKriterijumska Optimizacija I Kompromisno Resenje (VIKOR) model, a widely used decision-making (DM) tool known for its ability to balance group utility maximization with individual regret minimization. This integration leads to the PLq-ROF-VIKOR model, a novel approach for ranking alternative solutions based on the subjective preferences of decision-makers. The effectiveness of the proposed method is demonstrated through a real-world case study in astronomy, accompanied by both parameter and comparative analyses. These analyses highlight the efficiency and accuracy of the PLq-ROF-VIKOR model, ultimately leading to the conclusion that cosmology is the most optimal key finding in this case study.26 páginasapplication/pdfengElsevier B.V.Netherlandshttps://www.sciencedirect.com/science/article/pii/S2405844024090352Effective multi-attribute group decision-making approach to study astronomy in the probabilistic linguistic q-rung orthopair fuzzy VIKOR frameworkArtículo de revistahttp://purl.org/coar/resource_type/c_2df8fbb1Textinfo:eu-repo/semantics/articlehttp://purl.org/redcol/resource_type/ARTinfo:eu-repo/semantics/publishedVersionhttp://purl.org/coar/version/c_970fb48d4fbd8a85Heliyon[1] N. Aksaker, S.K. Yerli, M.A. Erdogan, Z. Kurt, K. Kaba, M. Bayazit, C. Yesilyaprak, Global site selection for astronomy, Mon. Not. R. Astron. Soc. 493 (1) (2020) 1204–1216.[2] M. Akram, S. Naz, F. Feng, G. Ali, A. Shafiq, Extended MABAC method based on 2-tuple linguistic -spherical fuzzy sets and Heronian mean operators: an application to alternative fuel selection, AIMS Math. 8 (5) (2023) 10619–10653.[3] M. Akram, S. Naz, G. Santos-Garcia, M.R. Saeed, Extended CODAS method for MAGDM with 2-tuple linguistic -spherical fuzzy sets, AIMS Math. 8 (2) (2023) 3428–3468.[4] S. Ali, H. Naveed, I. Siddique, R.M. Zulqarnain, Extension of interaction geometric aggregation operator for material selection using interval-valued intuitionistic fuzzy hypersoft set, J. Oper. Intell. 2 (1) (2024) 14–35.[5] K.T. Atanassov, Intuitionistic fuzzy sets, Fuzzy Sets Syst. 20 (1) (1986) 87–96.[6] K. Bell, M. Reed, The tree of participation: a new model for inclusive decision-making, Community Dev. J. 57 (4) (2022) 595–614[7] L. Chen, X. Gou, The application of probabilistic linguistic CODAS method based on new score function in multi-criteria decision-making, Comput. Appl. Math. 41 (2022) 1–25.[8] S. Chen, C. Zhang, S. Zeng, Y. Wang, W. Su, A probabilistic linguistic and dual trust network-based user collaborative filtering model, Artif. Intell. Rev. 56 (1) (2023) 429–455.[9] H.A. Dagistanli, An interval-valued intuitionistic fuzzy VIKOR approach for R&D project selection in defense industry investment decisions, J. Soft Comput. Decis. Anal. 2 (1) (2024) 1–13[10] H. Dawid, P. Harting, S. Van der Hoog, M. Neugart, Macroeconomics with heterogeneous agent models: fostering transparency, reproducibility and replication, J. Evol. Econ. 29 (2019) 467–538.[11] X. Du, K. Lu, Y. Nie, S. Qiu, Information fusion model of group decision making based on a combinatorial ordered weighted average operator, IEEE Access 11 (2023) 4694–4702.[12] L.I. Tang, From KARST to FAST: the conceptual origin of fast and its decision-making process, Chin. Astron. Astrophys. 47 (2) (2023) 424–440.[13] F. Gao, M. Han, S. Wang, J. Gao, A novel Fermatean fuzzy BWM-VIKOR based multi-criteria decision-making approach for selecting health care waste treatment technology, Eng. Appl. Artif. Intell. 127 (2024) 107451.[14] X. Gou, Z. Xu, H. Liao, Multiple criteria decision making based on Bonferroni means with hesitant fuzzy linguistic information, Soft Comput. 21 (21) (2017) 6515–6529.[15] C. Jana, H. Garg, M. Pal, Multi-attribute decision making for power Dombi operators under Pythagorean fuzzy information with MABAC method, J. Ambient Intell. Humaniz. Comput. 14 (8) (2023) 10761–10778.[16] Q. Kong, L. Wu, Combinatorial design of the MAUT and PAMSSEM II methods for multiple attributes group decision making with probabilistic linguistic information, Soft Comput. 27 (4) (2023) 2093–2108.[17] K. Kumar, S.M. Chen, Multiple attribute group decision making based on advanced linguistic intuitionistic fuzzy weighted averaging aggregation operator of linguistic intuitionistic fuzzy numbers, Inf. Sci. 587 (2022) 813–824.[18] K. Kumar, S.M. Chen, Group decision making based on improved linguistic interval-valued Atanassov intuitionistic fuzzy weighted averaging aggregation operator of linguistic interval-valued Atanassov intuitionistic fuzzy numbers, Inf. Sci. 607 (2022) 884–900.[19] F. Lei, Q. Cai, N. Liao, G. Wei, Y. He, J. Wu, C. Wei, TODIM-VIKOR method based on hybrid weighted distance under probabilistic uncertain linguistic information and its application in medical logistics center site selection, Soft Comput. 27 (2023) 8541–8559.[20] P. Li, Z. Xu, J. Liu, C. Wei, Social network group decision-making for probabilistic linguistic information based on GRA, Comput. Ind. Eng. 175 (2023) 108861.[21] B. Limboo, P. Dutta, A -rung orthopair basic probability assignment and its application in medical diagnosis, Decis. Mak. Appl. Manag. Eng. 5 (1) (2022) 290–308.[22] P. Liu, Z. Ali, T. Mahmood, Archimedean aggregation operators based on complex Pythagorean fuzzy sets using confidence levels and their application in decision making, Int. J. Fuzzy Syst. 25 (1) (2023) 42–58.[23] D. Liu, A. Huang, Consensus reaching process for fuzzy behavioral TOPSIS method with probabilistic linguistic -rung orthopair fuzzy set based on correlation measure, Int. J. Intell. Syst. 35 (3) (2020) 494–528.[24] Y. Ma, Y. Zhao, X. Wang, C. Feng, X. Zhou, B. Lev, Integrated BWM-entropy weighting and MULTIMOORA method with probabilistic linguistic information for the evaluation of waste recycling apps, Appl. Intell. 53 (1) (2023) 813–836.[25] Q. Mao, M. Guo, J. Lv, J. Chen, M. Tian, A multi-criteria group decision-making framework for investment assessment of offshore floating wind-solar-aquaculture project under probabilistic linguistic environment, Environ. Sci. Pollut. Res. 30 (2023) 40752–40782.[26] A. Naseem, M. Akram, K. Ullah, Z. Ali, Aczel-Alsina aggregation operators based on complex single-valued neutrosophic information and their application in decision-making problems, Decis. Mak. Adv. 1 (1) (2023) 86–114.[27] S. Naz, M. Akram, M.M.A. Al-Shamiri, M.M. Khalaf, G. Yousaf, A new MAGDM method with 2-tuple linguistic bipolar fuzzy Heronian mean operators, Math. Biosci. Eng. 19 (4) (2022) 3843–3878.[28] S. Naz, M. Akram, M.M. ul Hassan, A. Fatima, A hybrid DEMATEL-TOPSIS approach using 2-tuple linguistic -rung orthopair fuzzy information and its application in renewable energy resource selection, Int. J. Inf. Technol. Decis. Mak. 1 (44) (2023), https://doi.org/10.1142/S0219622023500323.[29] R.X. Nie, J.Q. Wang, Prospect theory-based consistency recovery strategies with multiplicative probabilistic linguistic preference relations in managing group decision making, Arab. J. Sci. Eng. 45 (3) (2020) 2113–2130.[30] Q. Pang, H. Wang, Z. Xu, Probabilistic linguistic term sets in multi-attribute group decision making, Inf. Sci. 369 (2016) 128–143[31] M.J. Ranjan, B.P. Kumar, T.D. Bhavani, A.V. Padmavathi, V. Bakka, Probabilistic linguistic -rung orthopair fuzzy Archimedean aggregation operators for group decision-making, Decis. Mak. Appl. Manag. Eng. 6 (2) (2023) 639–667.[32] M. Riaz, A. Habib, M. Saqlain, M.S. Yang, Cubic bipolar fuzzy-VIKOR method using new distance and entropy measures and Einstein averaging aggregation operators with application to renewable energy, Int. J. Fuzzy Syst. 25 (2) (2023) 510–543.[33] P. Sunthrayuth, F. Jarad, J. Majdoubi, R.M. Zulqarnain, A. Iampan, I. Siddique, A novel multicriteria decision-making approach for Einstein weighted average operator under Pythagorean fuzzy hypersoft environment, J. Math. (2022), https://doi.org/10.1155/2022/1951389.[34] M.R. Seikh, U. Mandal, -rung orthopair fuzzy Archimedean aggregation operators: application in the site selection for software operating units, Symmetry 15 (9) (2023) 1680.[35] M.R. Seikh, U. Mandal, Q-rung orthopair fuzzy Frank aggregation operators and its application in multiple attribute decision-making with unknown attribute weights, Granul. Comput. 1 (22) (2022), https://doi.org/10.1007/s41066-021-00290-2.[36] M.R. Seikh, U. Mandal, Multiple attribute group decision-making based on quasirung orthopair fuzzy sets: application to electric vehicle charging station site selection problem, Eng. Appl. Artif. Intell. 115 (2022) 105299.[37] M.R. Seikh, U. Mandal, Multiple attribute decision-making based on 3, 4-quasirung fuzzy sets, Granul. Comput. 1 (14) (2022), https://doi.org/10.1007/s41066- 021-00308-9.[38] H. Taherdoost, M. Madanchian, VIKOR method-an effective compromising ranking technique for decision making, Macro Manag. Public Polic. 5 (2) (2023) 27–33.[39] D.K. Tripathi, S.K. Nigam, P. Rani, A.R. Shah, New intuitionistic fuzzy parametric divergence measures and score function-based CoCoSo method for decisionmaking problems, Decis. Mak. Appl. Manag. Eng. 6 (1) (2023) 535–563.[40] Y. Tuskan, E. Basari, Evaluation of sustainable slope stability with anti-slide piles using an integrated AHP-VIKOR methodology, Sustainability 15 (15) (2023) 12075.[41] R. Verma, A. Mittal, Multiple attribute group decision-making based on novel probabilistic ordered weighted cosine similarity operators with Pythagorean fuzzy information, Granul. Comput. 8 (1) (2023) 111–129.[42] P. Wang, B. Zhu, Y. Yu, Z. Ali, B. Almohsen, Complex intuitionistic fuzzy DOMBI prioritized aggregation operators and their application for resilient green supplier selection, Facta Univ. Ser. Mech. Eng. 21 (3) (2023) 339–357.[43] G. Wei, C. Wei, J. Wu, H. Wang, Supplier selection of medical consumption products with a probabilistic linguistic MABAC method, Int. J. Environ. Res. Public Health 16 (24) (2019) 5082.[44] Z. Xu, Deviation measures of linguistic preference relations in group decision making, Omega 33 (3) (2005) 249–254.[45] Z. Xu, R.R. Yager, Power-geometric operators and their use in group decision making, IEEE Trans. Fuzzy Syst. 18 (1) (2009) 94–105.[46] H. Xie, Z. Kang, X. Jiang, Astrosa: an astronomical observation scheduler assessment framework in python, Astron. Comput. 100 (806) (2024), https://doi.org/ 10.1016/j.ascom.2024.100806.[47] R. Yadav, M. Singh, A. Meena, S.Y. Lee, S.J. Park, Selection and ranking of dental restorative composite materials using hybrid Entropy-VIKOR method: an application of MCDM technique, J. Mech. Behav. Biomed. Mater. 147 (2023) 106103.[48] R.R. Yager, The power average operator, IEEE Trans. Syst. Man Cybern., Part A, Syst. Hum. 31 (6) (2001) 724–731.[49] R.R. Yager, Pythagorean membership grades in multicriteria decision making, IEEE Trans. Fuzzy Syst. 22 (4) (2013) 958–965.[50] R.R. Yager, Generalized orthopair fuzzy sets, IEEE Trans. Fuzzy Syst. 25 (5) (2016) 1222–1230.[51] X. Yang, Z. Chen, A hybrid approach based on Monte Carlo simulation-VIKOR method for water quality assessment, Ecol. Indic. 150 (2023) 110202.[52] B.F. Yildirim, S. Kuzu Yildirim, Evaluating the satisfaction level of citizens in municipality services by using picture fuzzy VIKOR method: 2014-2019 period analysis, Decis. Mak. Appl. Manag. Eng. 5 (1) (2022) 50–66.[53] L.A. Zadeh, Fuzzy sets, Inf. Control 8 (3) (1965) 338–353.[54] L.A. Zadeh, The concept of a linguistic variable and its application to approximate reasoning-I, Inf. Sci. 8 (3) (1975) 199–249.[55] S. Zhang, F. Xiao, A TFN-based uncertainty modeling method in complex evidence theory for decision making, Inf. Sci. 619 (2023) 193–207.[56] N. Zhang, Y. Zhou, J. Liu, G. Wei, VIKOR method for Pythagorean hesitant fuzzy multi-attribute decision-making based on regret theory, Eng. Appl. Artif. Intell. 126 (2023) 106857.2611210PLq-ROFSPLq-ROFWPA operatorPLq-ROFWPG operatorVIKOR modelPublicationORIGINALEffective multi-attribute group decision-making approach to study astronomy in the probabilistic linguistic q-rung orthopair fuzzy VIKOR framework.pdfEffective multi-attribute group decision-making approach to study astronomy in the probabilistic linguistic q-rung orthopair fuzzy VIKOR framework.pdfapplication/pdf2034252https://repositorio.cuc.edu.co/bitstreams/7ff0adc2-b971-4448-bf57-bb4f16ecde80/download01775400eeb4d4376e8a687b0a1c7280MD51LICENSElicense.txtlicense.txttext/plain; charset=utf-815543https://repositorio.cuc.edu.co/bitstreams/c4849813-b10b-4d71-91fa-9fa5fbd370c8/download73a5432e0b76442b22b026844140d683MD52TEXTEffective multi-attribute group decision-making approach to study astronomy in the probabilistic linguistic q-rung orthopair fuzzy VIKOR framework.pdf.txtEffective multi-attribute group decision-making approach to study astronomy in the probabilistic linguistic q-rung orthopair fuzzy VIKOR framework.pdf.txtExtracted texttext/plain109652https://repositorio.cuc.edu.co/bitstreams/e6b2e326-3a1f-4d63-8dee-a390dce59ab6/download88b246a481a17c11d8a10d73c459b147MD53THUMBNAILEffective multi-attribute group decision-making approach to study astronomy in the probabilistic linguistic q-rung orthopair fuzzy VIKOR framework.pdf.jpgEffective multi-attribute group decision-making approach to study astronomy in the probabilistic linguistic q-rung orthopair fuzzy VIKOR framework.pdf.jpgGenerated Thumbnailimage/jpeg12494https://repositorio.cuc.edu.co/bitstreams/5cb46b34-1080-482f-930a-b354f8f46a12/download5bf951082095e6d78c036f74da071268MD5411323/13523oai:repositorio.cuc.edu.co:11323/135232024-10-26 03:01:37.67https://creativecommons.org/licenses/by-nc/4.0/© 2024 The Author(s). Published by Elsevier Ltd.open.accesshttps://repositorio.cuc.edu.coRepositorio de la Universidad de la Costa CUCrepdigital@cuc.edu.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

Publicaciones similares