{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,7,4]],"date-time":"2026-07-04T17:34:43Z","timestamp":1783186483992,"version":"3.54.6"},"reference-count":76,"publisher":"Springer Science and Business Media LLC","issue":"7","license":[{"start":{"date-parts":[[2025,4,11]],"date-time":"2025-04-11T00:00:00Z","timestamp":1744329600000},"content-version":"tdm","delay-in-days":0,"URL":"https:\/\/creativecommons.org\/licenses\/by-nc-nd\/4.0"},{"start":{"date-parts":[[2025,4,11]],"date-time":"2025-04-11T00:00:00Z","timestamp":1744329600000},"content-version":"vor","delay-in-days":0,"URL":"https:\/\/creativecommons.org\/licenses\/by-nc-nd\/4.0"}],"content-domain":{"domain":["link.springer.com"],"crossmark-restriction":false},"short-container-title":["Artif Intell Rev"],"DOI":"10.1007\/s10462-025-11205-x","type":"journal-article","created":{"date-parts":[[2025,4,11]],"date-time":"2025-04-11T18:18:57Z","timestamp":1744395537000},"update-policy":"https:\/\/doi.org\/10.1007\/springer_crossmark_policy","source":"Crossref","is-referenced-by-count":19,"title":["Pythagorean linguistic information-based green supplier selection using quantum-based group decision-making methodology and the MULTIMOORA approach"],"prefix":"10.1007","volume":"58","author":[{"given":"Prasenjit","family":"Mandal","sequence":"first","affiliation":[],"role":[{"vocabulary":"crossref","role":"author"}]},{"given":"Leo","family":"Mrsic","sequence":"additional","affiliation":[],"role":[{"vocabulary":"crossref","role":"author"}]},{"given":"Antonios","family":"Kalampakas","sequence":"additional","affiliation":[],"role":[{"vocabulary":"crossref","role":"author"}]},{"given":"Tofigh","family":"Allahviranloo","sequence":"additional","affiliation":[],"role":[{"vocabulary":"crossref","role":"author"}]},{"given":"Sovan","family":"Samanta","sequence":"additional","affiliation":[],"role":[{"vocabulary":"crossref","role":"author"}]}],"member":"297","published-online":{"date-parts":[[2025,4,11]]},"reference":[{"key":"11205_CR1","doi-asserted-by":"publisher","first-page":"40","DOI":"10.1016\/j.jmp.2016.08.003","volume":"78","author":"A Al-Nowaihi","year":"2017","unstructured":"Al-Nowaihi A, Dhami S (2017) The Ellsberg paradox: a challenge to quantum decision theory? J Math Psychol 78:40\u201350. https:\/\/doi.org\/10.1016\/j.jmp.2016.08.003","journal-title":"J Math Psychol"},{"key":"11205_CR2","doi-asserted-by":"publisher","first-page":"156","DOI":"10.1016\/j.jcss.2019.06.005","volume":"107","author":"A Anshu","year":"2020","unstructured":"Anshu A, Hoyer E, Mhalla M, Perdrix S (2020) Contextuality in multipartite pseudo-telepathy graph games. J Comput Syst Sci 107:156\u2013165. https:\/\/doi.org\/10.1016\/j.jcss.2019.06.005","journal-title":"J Comput Syst Sci"},{"key":"11205_CR3","doi-asserted-by":"publisher","first-page":"e2","DOI":"10.1017\/s0140525x19001535","volume":"43","author":"H Atmanspacher","year":"2020","unstructured":"Atmanspacher H, Basieva I, Busemeyer JR, Khrennikov AY, Pothos EM, Shiffrin RM, Wang Z (2020) What are the appropriate axioms of rationality for reasoning under uncertainty with resource-constrained systems? Behav Brain Sci 43:e2. https:\/\/doi.org\/10.1017\/s0140525x19001535","journal-title":"Behav Brain Sci"},{"key":"11205_CR4","doi-asserted-by":"publisher","first-page":"1925","DOI":"10.1037\/xge0000585","volume":"148","author":"I Basieva","year":"2019","unstructured":"Basieva I, Cervantes VH, Dzhafarov EN, Khrennikov A (2019) True contextuality beats direct influences in human decision making. J Exp Psychol Gen 148:1925\u20131937. https:\/\/doi.org\/10.1037\/xge0000585","journal-title":"J Exp Psychol Gen"},{"key":"11205_CR5","doi-asserted-by":"publisher","first-page":"11363","DOI":"10.1016\/j.eswa.2009.03.039","volume":"36","author":"FE Boran","year":"2009","unstructured":"Boran FE, Genc S, Kurt M, Akay D (2009) A multi-criteria intuitionistic fuzzy group decision making for supplier selection with TOPSIS method. Expert Syst Appl 36:11363\u201311368. https:\/\/doi.org\/10.1016\/j.eswa.2009.03.039","journal-title":"Expert Syst Appl"},{"key":"11205_CR6","doi-asserted-by":"publisher","DOI":"10.1016\/j.cogpsych.2019.101262","volume":"117","author":"JB Broekaert","year":"2020","unstructured":"Broekaert JB, Busemeyer JR, Pothos EM (2020) The disjunction effect in two-stage simulated gambles. An experimental study and comparison of a heuristic logistic, Markov and quantum-like model. Cognit Psychol 117:101262. https:\/\/doi.org\/10.1016\/j.cogpsych.2019.101262","journal-title":"Cognit Psychol"},{"key":"11205_CR7","doi-asserted-by":"publisher","DOI":"10.1017\/CBO9780511997716","volume-title":"Quantum models of cognition and decision","author":"JR Busemeyer","year":"2012","unstructured":"Busemeyer JR, Bruza PD (2012) Quantum models of cognition and decision. Cambridge University Press, New York"},{"key":"11205_CR8","doi-asserted-by":"publisher","first-page":"41","DOI":"10.1016\/j.tcs.2017.12.007","volume":"752","author":"J Busemeyer","year":"2018","unstructured":"Busemeyer J, Wang Z (2018) Data fusion using Hilbert space multi-dimensional models. Theoret Comput Sci 752:41\u201355. https:\/\/doi.org\/10.1016\/j.tcs.2017.12.007","journal-title":"Theoret Comput Sci"},{"issue":"5","key":"11205_CR9","doi-asserted-by":"publisher","first-page":"423","DOI":"10.1016\/j.jmp.2009.03.002","volume":"53","author":"JR Busemeyer","year":"2009","unstructured":"Busemeyer JR, Wang Z, Lambert-Mogiliansky A (2009) Empirical comparison of Markov and quantum models of decision making. J Math Psychol 53(5):423\u2013433. https:\/\/doi.org\/10.1016\/j.jmp.2009.03.002","journal-title":"J Math Psychol"},{"key":"11205_CR10","doi-asserted-by":"publisher","first-page":"102","DOI":"10.1007\/s44196-022-00159-5","volume":"15","author":"M Cai","year":"2022","unstructured":"Cai M, Jian XL, Hong YY, Xiao JM, Gao Y, Hu SQ (2022) A novel social network group decision-making method in a quantum framework. Int J Comput Intell Syst 15:102. https:\/\/doi.org\/10.1007\/s44196-022-00159-5","journal-title":"Int J Comput Intell Syst"},{"key":"11205_CR11","doi-asserted-by":"publisher","first-page":"113303","DOI":"10.1016\/j.eswa.2020.113303","volume":"149","author":"L Chen","year":"2020","unstructured":"Chen L, Duan G, Wang SY, Ma JF (2020) A Choquet integral based fuzzy logic approach to solve uncertain multi-criteria decision making problem. Expert Syst Appl 149:113303. https:\/\/doi.org\/10.1016\/j.eswa.2020.113303","journal-title":"Expert Syst Appl"},{"key":"11205_CR12","doi-asserted-by":"publisher","first-page":"549","DOI":"10.1016\/j.chaos.2016.07.014","volume":"91","author":"Y Deng","year":"2016","unstructured":"Deng Y (2016) Deng entropy. Chaos, Solitons Fract 91:549\u2013553. https:\/\/doi.org\/10.1016\/j.chaos.2016.07.014","journal-title":"Chaos, Solitons Fract"},{"key":"11205_CR13","doi-asserted-by":"publisher","first-page":"156","DOI":"10.1016\/j.eswa.2013.07.018","volume":"41","author":"X Deng","year":"2014","unstructured":"Deng X, Hu Y, Deng Y, Mahadevan S (2014) Supplier selection using AHP methodology extended by D numbers. Expert Syst Appl 41:156\u2013167. https:\/\/doi.org\/10.1016\/j.eswa.2013.07.018","journal-title":"Expert Syst Appl"},{"key":"11205_CR14","doi-asserted-by":"publisher","first-page":"12","DOI":"10.1016\/j.engappai.2022.105512","volume":"117","author":"XZ Gao","year":"2023","unstructured":"Gao XZ, Deng Y (2023) Inferable dynamic Markov model to predict interference effects. Eng Appl Artif Intell 117:12. https:\/\/doi.org\/10.1016\/j.engappai.2022.105512","journal-title":"Eng Appl Artif Intell"},{"key":"11205_CR15","doi-asserted-by":"publisher","first-page":"156","DOI":"10.1016\/j.cie.2017.08.017","volume":"112","author":"MK Ghorabaee","year":"2017","unstructured":"Ghorabaee MK, Amiri M, Zavadskas EK, Turskis Z, Antucheviciene J (2017) A new multi-criteria model based on interval type-2 fuzzy sets and EDAS method for supplier evaluation and order allocation with environmental considerations. Comput Ind Eng 112:156\u2013174. https:\/\/doi.org\/10.1016\/j.cie.2017.08.017","journal-title":"Comput Ind Eng"},{"key":"11205_CR16","doi-asserted-by":"publisher","first-page":"663","DOI":"10.1016\/j.cie.2019.07.038","volume":"136","author":"S Gupta","year":"2019","unstructured":"Gupta S, Soni U, Kumar G (2019) Green supplier selection using multi-criterion decision making under fuzzy environment: a case study in automotive industry. Comput Ind Eng 136:663\u2013680. https:\/\/doi.org\/10.1016\/j.cie.2019.07.038","journal-title":"Comput Ind Eng"},{"key":"11205_CR17","doi-asserted-by":"publisher","first-page":"145","DOI":"10.1016\/j.inffus.2018.12.002","volume":"51","author":"A Hafezalkotob","year":"2019","unstructured":"Hafezalkotob A, Hafezalkotob A, Liao H, Herrera F (2019) An overview of MULTIMOORA for multi-criteria decision-making: theory, developments, applications, and challenges. Inf Fus 51:145\u2013177. https:\/\/doi.org\/10.1016\/j.inffus.2018.12.002","journal-title":"Inf Fus"},{"key":"11205_CR18","doi-asserted-by":"publisher","first-page":"143","DOI":"10.1016\/j.inffus.2023.02.018","volume":"95","author":"S Han","year":"2023","unstructured":"Han S, Liu X (2023) An extension of multi-attribute group decision making method based on quantum-like Bayesian network considering the interference of beliefs. Inf Fus 95:143\u2013162. https:\/\/doi.org\/10.1016\/j.inffus.2023.02.018","journal-title":"Inf Fus"},{"key":"11205_CR19","doi-asserted-by":"publisher","first-page":"107927","DOI":"10.1016\/j.asoc.2021.107927","volume":"113","author":"SL Han","year":"2021","unstructured":"Han SL, Wang W, Liu XW (2021) A new type-2 fuzzy multi-criteria hybrid method for rail transit operation safety assessment. Appl Soft Comput 113:107927. https:\/\/doi.org\/10.1016\/j.asoc.2021.107927","journal-title":"Appl Soft Comput"},{"key":"11205_CR20","doi-asserted-by":"publisher","first-page":"145","DOI":"10.1016\/j.fss.2022.01.003","volume":"448","author":"I\u00c1 Harmati","year":"2022","unstructured":"Harmati I\u00c1, Full\u00e9r R, Felde I (2022) On stability of maximal entropy OWA operator weights. Fuzzy Sets Syst 448:145\u2013156. https:\/\/doi.org\/10.1016\/j.fss.2022.01.003","journal-title":"Fuzzy Sets Syst"},{"key":"11205_CR21","doi-asserted-by":"publisher","first-page":"139","DOI":"10.1016\/j.knosys.2018.03.014","volume":"150","author":"ZC He","year":"2018","unstructured":"He ZC, Jiang W (2018) An evidential dynamical model to predict the interference effect of categorization on decision making results. Knowl-Based Syst 150:139\u2013149. https:\/\/doi.org\/10.1016\/j.knosys.2018.03.014","journal-title":"Knowl-Based Syst"},{"key":"11205_CR22","doi-asserted-by":"publisher","first-page":"560","DOI":"10.1016\/j.cie.2018.08.001","volume":"124","author":"ZC He","year":"2018","unstructured":"He ZC, Chan FTS, Jiang W (2018) A quantum framework for modelling subjectivity in multi-attribute group decision making. Comput Ind Eng 124:560\u2013572. https:\/\/doi.org\/10.1016\/j.cie.2018.08.001","journal-title":"Comput Ind Eng"},{"key":"11205_CR23","doi-asserted-by":"publisher","first-page":"417","DOI":"10.1016\/j.amc.2018.11.036","volume":"347","author":"ZM Huang","year":"2019","unstructured":"Huang ZM, Yang L, Jiang W (2019) Uncertainty measurement with belief entropy on the interference effect in the quantum-like Bayesian Networks. Appl Math Comput 347:417\u2013428. https:\/\/doi.org\/10.1016\/j.amc.2018.11.036","journal-title":"Appl Math Comput"},{"key":"11205_CR24","doi-asserted-by":"publisher","first-page":"108705","DOI":"10.1016\/j.cie.2022.108705","volume":"173","author":"J Jiang","year":"2022","unstructured":"Jiang J, Liu X (2022) A quantum cognition based group decision making model considering interference effects in consensus reaching process. Comput Ind Eng 173:108705. https:\/\/doi.org\/10.1016\/j.cie.2022.108705","journal-title":"Comput Ind Eng"},{"key":"11205_CR25","doi-asserted-by":"publisher","first-page":"89","DOI":"10.1108\/MRR-10-2012-0230","volume":"37","author":"AK Kar","year":"2014","unstructured":"Kar AK, Pani A (2014) Exploring the importance of different supplier selection criteria. Manag Res Rev 37:89\u2013105. https:\/\/doi.org\/10.1108\/MRR-10-2012-0230","journal-title":"Manag Res Rev"},{"key":"11205_CR26","doi-asserted-by":"publisher","first-page":"87","DOI":"10.1016\/j.jmp.2018.10.005","volume":"89","author":"A Khrennikov","year":"2019","unstructured":"Khrennikov A (2019) Classical versus quantum probability: comments on the paper \u201cOn universality of classical probability with contextually labeled random variables\u201d by E. Dzhafarov and M. Kon. J Math Psychol 89:87\u201392. https:\/\/doi.org\/10.1016\/j.jmp.2018.10.005","journal-title":"J Math Psychol"},{"key":"11205_CR27","doi-asserted-by":"publisher","first-page":"378","DOI":"10.1016\/j.jmp.2009.01.007","volume":"53","author":"AY Khrennikov","year":"2009","unstructured":"Khrennikov AY, Haven E (2009) Quantum mechanics and violations of the sure-thing principle: the use of probability interference and other concepts. J Math Psychol 53:378\u2013388. https:\/\/doi.org\/10.1016\/j.jmp.2009.01.007","journal-title":"J Math Psychol"},{"key":"11205_CR28","doi-asserted-by":"publisher","first-page":"1346","DOI":"10.1007\/s10773-013-1931-6","volume":"53","author":"P Khrennikova","year":"2014","unstructured":"Khrennikova P, Haven E, Khrennikov A (2014) An application of the theory of open quantum systems to model the dynamics of party governance in the US political system, International Journal Theoretical. Physics 53:1346\u20131360. https:\/\/doi.org\/10.1007\/s10773-013-1931-6","journal-title":"Physics"},{"key":"11205_CR29","doi-asserted-by":"publisher","first-page":"4208","DOI":"10.3390\/su11154208","volume":"11","author":"A Konys","year":"2019","unstructured":"Konys A (2019) Green supplier selection criteria: from a literature review to a comprehensive knowledge base. Sustainability 11:4208. https:\/\/doi.org\/10.3390\/su11154208","journal-title":"Sustainability"},{"key":"11205_CR30","doi-asserted-by":"publisher","first-page":"1286","DOI":"10.1016\/j.cie.2018.06.027","volume":"135","author":"MY Li","year":"2019","unstructured":"Li MY, Cao PP (2019) Extended TODIM method for multi-attribute risk decision making problems in emergency response. Comput Ind Eng 135:1286\u20131293. https:\/\/doi.org\/10.1016\/j.cie.2018.06.027","journal-title":"Comput Ind Eng"},{"key":"11205_CR31","doi-asserted-by":"publisher","first-page":"1345","DOI":"10.1007\/s12559-021-09932-8","volume":"13","author":"L Li","year":"2021","unstructured":"Li L, Ji CL, Wang J (2021) A novel multi-attribute group decision-making method based on q-Rung dual hesitant fuzzy information and extended power average operators. Cogn Comput 13:1345\u20131362. https:\/\/doi.org\/10.1007\/s12559-021-09932-8","journal-title":"Cogn Comput"},{"key":"11205_CR32","doi-asserted-by":"publisher","first-page":"115479","DOI":"10.1016\/j.eswa.2021.115479","volume":"184","author":"Y Li","year":"2021","unstructured":"Li Y, Liu M, Cao J, Wang X, Zhang N (2021) Multi-attribute group decision-making considering opinion dynamics. Expert Syst Appl 184:115479. https:\/\/doi.org\/10.1016\/j.eswa.2021.115479","journal-title":"Expert Syst Appl"},{"key":"11205_CR33","doi-asserted-by":"publisher","first-page":"450","DOI":"10.1016\/j.asoc.2019.04.018","volume":"80","author":"G Liao","year":"2019","unstructured":"Liao G, Jiang L, Lev B, Fujita H (2019) Novel operations of PLTSs based on the disparity degrees of linguistic terms and their use in designing the probabilistic linguistic ELECTRE III method. Appl Soft Comput 80:450\u2013464. https:\/\/doi.org\/10.1016\/j.asoc.2019.04.018","journal-title":"Appl Soft Comput"},{"key":"11205_CR34","doi-asserted-by":"publisher","first-page":"700","DOI":"10.1016\/j.ins.2022.10.056","volume":"615","author":"WQ Liu","year":"2022","unstructured":"Liu WQ, Zhu JJ (2022) A multistage decision-making method with quantum-guided expert state transition based on normal cloud models. Inf Sci 615:700\u2013730. https:\/\/doi.org\/10.1016\/j.ins.2022.10.056","journal-title":"Inf Sci"},{"key":"11205_CR35","doi-asserted-by":"publisher","first-page":"37","DOI":"10.1016\/j.eswa.2016.01.059","volume":"55","author":"S Liu","year":"2016","unstructured":"Liu S, Chan FTS, Ran WX (2016) Decision making for the selection of cloud vendor: an improved approach under group decision-making with integrated weights and objective\/subjective attributes. Expert Syst Appl 55:37\u201347. https:\/\/doi.org\/10.1016\/j.eswa.2016.01.059","journal-title":"Expert Syst Appl"},{"key":"11205_CR36","doi-asserted-by":"publisher","first-page":"300","DOI":"10.1002\/int.22212","volume":"35","author":"Y Liu","year":"2020","unstructured":"Liu Y, Liu J, Qin Y (2020) Pythagorean fuzzy linguistic Muirhead mean operators and their applications to multiattribute decision-making. Int J Intell Syst 35:300\u2013332. https:\/\/doi.org\/10.1002\/int.22212","journal-title":"Int J Intell Syst"},{"key":"11205_CR37","doi-asserted-by":"publisher","first-page":"106508","DOI":"10.1016\/j.asoc.2020.106508","volume":"95","author":"AI Maghsoodi","year":"2020","unstructured":"Maghsoodi AI, Soudian S, Mart\u00ednez L, Herrera-Viedma E, Zavadskas EK (2020) A phase change material selection using the interval-valued target-based BWM-CoCoMULTIMOORA approach: a case-study on interior building applications. Appl Soft Comput 95:106508. https:\/\/doi.org\/10.1016\/j.asoc.2020.106508","journal-title":"Appl Soft Comput"},{"key":"11205_CR38","doi-asserted-by":"publisher","first-page":"121244","DOI":"10.1016\/j.jclepro.2020.121244","volume":"261","author":"A Makan","year":"2020","unstructured":"Makan A, Fadili A (2020) Sustainability assessment of large-scale composting technologies using PROMETHEE method. J Clean Prod 261:121244. https:\/\/doi.org\/10.1016\/j.jclepro.2020.121244","journal-title":"J Clean Prod"},{"issue":"5","key":"11205_CR39","doi-asserted-by":"publisher","first-page":"826","DOI":"10.1002\/int.22226","volume":"35","author":"P Mandal","year":"2020","unstructured":"Mandal P, Samanta S, Pal M, Ranadive AS (2020) Pythagorean linguistic preference relations and their applications to group decision making using group recommendations based on consistency matrices and feedback mechanism. Int J Intell Syst 35(5):826\u2013849. https:\/\/doi.org\/10.1002\/int.22226","journal-title":"Int J Intell Syst"},{"issue":"10","key":"11205_CR40","doi-asserted-by":"publisher","first-page":"5389","DOI":"10.1002\/int.22516","volume":"36","author":"P Mandal","year":"2021","unstructured":"Mandal P, Samanta S, Pal M (2021) Multiplicative consistency analysis of linguistic preference relation with self-confidence level and self-doubting level and its application in a group decision making. Int J Intell Syst 36(10):5389\u20135418. https:\/\/doi.org\/10.1002\/int.22516","journal-title":"Int J Intell Syst"},{"key":"11205_CR41","doi-asserted-by":"publisher","first-page":"5517","DOI":"10.1007\/s10462-021-10133-w","volume":"55","author":"P Mandal","year":"2022","unstructured":"Mandal P, Samanta S, Pal M, Ranadive AS (2022) Three-way decision model under a large-scale group decision-making environment with detecting and managing non-cooperative behaviors in consensus reaching process. Artif Intell Rev 55:5517\u20135542. https:\/\/doi.org\/10.1007\/s10462-021-10133-w","journal-title":"Artif Intell Rev"},{"key":"11205_CR42","doi-asserted-by":"publisher","DOI":"10.1016\/j.eswa.2023.120407","volume":"229","author":"P Mandal","year":"2023","unstructured":"Mandal P, Samanta S, Pal M, Ranadive AS (2023) Social network trust relationship environment based advanced ovarian cancer treatment decision-making model: an approach based on linguistic information with experts\u2019 multiple confidence levels. Expert Syst Appl 229:120407. https:\/\/doi.org\/10.1016\/j.eswa.2023.120407","journal-title":"Expert Syst Appl"},{"key":"11205_CR43","doi-asserted-by":"publisher","DOI":"10.1007\/s00500-023-09012-z","author":"P Mandal","year":"2023","unstructured":"Mandal P, Samanta S, Pal M (2023) Large-scale alternative processing group decision making under Pythagorean linguistic preference environment. Soft Comput. https:\/\/doi.org\/10.1007\/s00500-023-09012-z","journal-title":"Soft Comput"},{"issue":"23","key":"11205_CR44","doi-asserted-by":"publisher","first-page":"3790","DOI":"10.3390\/math12233790","volume":"12","author":"P Mandal","year":"2024","unstructured":"Mandal P, Mrsic L, Kalampakas A, Allahviranloo T, Samanta S (2024) Multicriteria group decision making based on TODIM and PROMETHEE II approaches with integrating quantum decision theory and linguistic Z number in renewable energy selection. Mathematics 12(23):3790. https:\/\/doi.org\/10.3390\/math12233790","journal-title":"Mathematics"},{"key":"11205_CR45","doi-asserted-by":"publisher","first-page":"120016","DOI":"10.1016\/j.ins.2023.120016","volume":"658","author":"P Mandal","year":"2024","unstructured":"Mandal P, Samanta S, Pal M (2024) Failure mode and effects analysis in consensus-based GDM for surface-guided deep inspiration breath-hold breast radiotherapy for breast cancer under the framework of linguistic Z-number. Inf Sci 658:120016. https:\/\/doi.org\/10.1016\/j.ins.2023.120016","journal-title":"Inf Sci"},{"issue":"2017","key":"11205_CR46","doi-asserted-by":"publisher","first-page":"265","DOI":"10.1016\/j.asoc.2017.03.045","volume":"57","author":"A Mardani","year":"2017","unstructured":"Mardani A, Nilashi M, Zakuan N, Loganathan N, Soheilirad S, Saman MZM, Ibrahim O (2017) A systematic review and meta-analysis of SWARA and WASPAS methods: theory and applications with recent fuzzy developments. Appl Soft Comput 57(2017):265\u2013292. https:\/\/doi.org\/10.1016\/j.asoc.2017.03.045","journal-title":"Appl Soft Comput"},{"key":"11205_CR47","doi-asserted-by":"publisher","first-page":"11","DOI":"10.3389\/fpsyg.2016.00011","volume":"7","author":"C Moreira","year":"2016","unstructured":"Moreira C, Wichert A (2016) Quantum-like Bayesian networks for modeling decision making. Front Psychol 7:11. https:\/\/doi.org\/10.3389\/fpsyg.2016.00011","journal-title":"Front Psychol"},{"key":"11205_CR48","doi-asserted-by":"publisher","first-page":"73","DOI":"10.1016\/j.jmp.2017.11.003","volume":"82","author":"C Moreira","year":"2018","unstructured":"Moreira C, Wichert A (2018) Are quantum-like Bayesian networks more powerful than classical Bayesian networks? J Math Psychol 82:73\u201383. https:\/\/doi.org\/10.1016\/j.jmp.2017.11.003","journal-title":"J Math Psychol"},{"key":"11205_CR49","doi-asserted-by":"publisher","first-page":"445","DOI":"10.1016\/S0377-2217(03)00020-1","volume":"156","author":"S Opricovic","year":"2004","unstructured":"Opricovic S, Tzeng GH (2004) Compromise solution by MCDM methods: a comparative analysis of VIKOR and TOPSIS. Eur J Oper Res 156:445\u2013455. https:\/\/doi.org\/10.1016\/S0377-2217(03)00020-1","journal-title":"Eur J Oper Res"},{"key":"11205_CR50","doi-asserted-by":"publisher","first-page":"571","DOI":"10.1108\/K-01-2015-0034","volume":"45","author":"Y Qian","year":"2016","unstructured":"Qian Y, Hou F (2016) An approach for green supplier selection in the automobile manufacturing industry. Kybernetes 45:571\u2013588. https:\/\/doi.org\/10.1108\/K-01-2015-0034","journal-title":"Kybernetes"},{"key":"11205_CR51","doi-asserted-by":"publisher","first-page":"3268","DOI":"10.3390\/ijerph17093268","volume":"17","author":"G Qu","year":"2020","unstructured":"Qu G, Zhang Z, Qu W, Xu Z (2020) Green supplier selection based on green practices evaluated using fuzzy approaches of TOPSIS and ELECTRE with a case study in a Chinese internet company. Int J Environ Res Public Health 17:3268. https:\/\/doi.org\/10.3390\/ijerph17093268","journal-title":"Int J Environ Res Public Health"},{"key":"11205_CR52","doi-asserted-by":"publisher","first-page":"120352","DOI":"10.1016\/j.jclepro.2020.120352","volume":"257","author":"P Rani","year":"2020","unstructured":"Rani P, Mishra AR, Mardani A, Cavallaro F, Alrasheedi M, Alrashidi A (2020) A novel approach to extended fuzzy TOPSIS based on new divergence measures for renewable energy sources selection. J Clean Prod 257:120352. https:\/\/doi.org\/10.1016\/j.jclepro.2020.120352","journal-title":"J Clean Prod"},{"key":"11205_CR53","doi-asserted-by":"publisher","first-page":"103979","DOI":"10.1109\/ACCESS.2019.2931405","volume":"7","author":"ZL Ren","year":"2019","unstructured":"Ren ZL, Xu ZS, Wang H (2019) The strategy selection problem on artificial intelligence with an integrated VIKOR and AHP method under probabilistic dual hesitant fuzzy information. IEEE Access 7:103979\u2013103999. https:\/\/doi.org\/10.1109\/ACCESS.2019.2931405","journal-title":"IEEE Access"},{"key":"11205_CR54","doi-asserted-by":"publisher","first-page":"602","DOI":"10.3390\/axioms13090602","volume":"13","author":"C Ruan","year":"2024","unstructured":"Ruan C, Yan L (2024) Fermatean probabilistic hesitant fuzzy power Bonferroni aggregation operators with dual probabilistic information and their application in green supplier selection. Axioms 13:602. https:\/\/doi.org\/10.3390\/axioms13090602","journal-title":"Axioms"},{"key":"11205_CR55","doi-asserted-by":"publisher","first-page":"178","DOI":"10.1016\/j.geoderma.2017.09.012","volume":"310","author":"J Seyedmohammadi","year":"2018","unstructured":"Seyedmohammadi J, Sarmadian F, Jafarzadeh AA, Ghorbani MA, Shahbazi F (2018) Application of saw, TOPSIS and fuzzy TOPSIS models in cultivation priority planning for maize, rapeseed, and soybean crops. Geoderma 310:178\u2013190. https:\/\/doi.org\/10.1016\/j.geoderma.2017.09.012","journal-title":"Geoderma"},{"issue":"21","key":"11205_CR56","doi-asserted-by":"publisher","first-page":"13807","DOI":"10.3390\/su142113807","volume":"14","author":"N Shah","year":"2022","unstructured":"Shah N, Shah P, Patel M (2022) Pricing decisions with effect of advertisement and greening efforts for a Greengocer. Sustainability 14(21):13807. https:\/\/doi.org\/10.3390\/su142113807","journal-title":"Sustainability"},{"key":"11205_CR57","doi-asserted-by":"publisher","first-page":"107307","DOI":"10.1016\/j.cie.2021.107307","volume":"157","author":"LL She","year":"2021","unstructured":"She LL, Han SL, Liu XW (2021) Application of quantum-like Bayesian network and belief entropy for interference effect in multi-attribute decision making problem. Comput Ind Eng 157:107307. https:\/\/doi.org\/10.1016\/j.cie.2021.107307","journal-title":"Comput Ind Eng"},{"key":"11205_CR58","doi-asserted-by":"publisher","first-page":"53","DOI":"10.1111\/j.1468-2370.2007.00202.x","volume":"9","author":"S Srivastava","year":"2007","unstructured":"Srivastava S (2007) Green supply chain management: a state-of-the-art literature review. Int J Manag Rev 9:53\u201380. https:\/\/doi.org\/10.1111\/j.1468-2370.2007.00202.x","journal-title":"Int J Manag Rev"},{"key":"11205_CR59","doi-asserted-by":"publisher","first-page":"114982","DOI":"10.1016\/j.eswa.2021.114982","volume":"178","author":"F Wang","year":"2021","unstructured":"Wang F (2021) Preference degree of triangular fuzzy numbers and its application to multi-attribute group decision making. Expert Syst Appl 178:114982. https:\/\/doi.org\/10.1016\/j.eswa.2021.114982","journal-title":"Expert Syst Appl"},{"key":"11205_CR60","doi-asserted-by":"publisher","first-page":"688","DOI":"10.3390\/su9050688","volume":"9","author":"K-Q Wang","year":"2017","unstructured":"Wang K-Q, Liu H-C, Liu L, Huang J (2017) Green supplier evaluation and selection using cloud model theory and the QUALIFLEX method. Sustainability 9:688. https:\/\/doi.org\/10.3390\/su9050688","journal-title":"Sustainability"},{"issue":"6","key":"11205_CR61","doi-asserted-by":"publisher","first-page":"1129","DOI":"10.1002\/int.22089","volume":"34","author":"H Wang","year":"2019","unstructured":"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\u20131157. https:\/\/doi.org\/10.1002\/int.22089","journal-title":"Int J Intell Syst"},{"key":"11205_CR62","doi-asserted-by":"publisher","first-page":"105864","DOI":"10.1016\/j.asoc.2019.105864","volume":"86","author":"X Wang","year":"2020","unstructured":"Wang X, Gou X, Xu Z (2020) Assessment of traffic congestion with ORESTE method under double hierarchy hesitant fuzzy linguistic environment. Appl Soft Comput 86:105864. https:\/\/doi.org\/10.1016\/j.asoc.2019.105864","journal-title":"Appl Soft Comput"},{"issue":"11","key":"11205_CR63","doi-asserted-by":"publisher","first-page":"12501","DOI":"10.1109\/tcyb.2021.3072364","volume":"52","author":"Z Wang","year":"2022","unstructured":"Wang Z, Ran Y, Jin C, Chen Y, Zhang G (2022) An additive consistency and consensus approach for group decision making with probabilistic hesitant fuzzy linguistic preference relations and its application in failure criticality analysis. IEEE Trans Cybernet 52(11):12501\u201312513. https:\/\/doi.org\/10.1109\/tcyb.2021.3072364","journal-title":"IEEE Trans Cybernet"},{"key":"11205_CR64","doi-asserted-by":"publisher","first-page":"16879","DOI":"10.3390\/su142416879","volume":"14","author":"S Wang","year":"2022","unstructured":"Wang S, Ji Y, Wahab MIM, Xu D, Zhou C (2022) A new decision framework of online multi-attribute reverse auctions for green supplier selection under mixed uncertainty. Sustainability 14:16879. https:\/\/doi.org\/10.3390\/su142416879","journal-title":"Sustainability"},{"key":"11205_CR65","doi-asserted-by":"publisher","first-page":"1017","DOI":"10.1016\/j.ejor.2018.07.044","volume":"272","author":"X Wu","year":"2019","unstructured":"Wu X, Liao H (2019) A consensus-based probabilistic linguistic gained and lost dominance score method. Eur J Oper Res 272:1017\u20131027. https:\/\/doi.org\/10.1016\/j.ejor.2018.07.044","journal-title":"Eur J Oper Res"},{"issue":"6","key":"11205_CR66","doi-asserted-by":"publisher","first-page":"3688","DOI":"10.1109\/TFUZZ.2018.2843330","volume":"26","author":"XL Wu","year":"2018","unstructured":"Wu XL, Liao HC, Xu ZC, Hafezalkotob A, Herrera F (2018) Probabilistic linguistic MULTIMOORA: a multi-criteria decision-making method based on the probabilistic linguistic expectation function and the improved Borda rule. IEEE Trans Fuzzy Syst 26(6):3688\u20133702. https:\/\/doi.org\/10.1109\/TFUZZ.2018.2843330","journal-title":"IEEE Trans Fuzzy Syst"},{"issue":"6","key":"11205_CR67","doi-asserted-by":"publisher","first-page":"2488","DOI":"10.1109\/TCYB.2019.2906318","volume":"50","author":"Y Wu","year":"2019","unstructured":"Wu Y, Dong Y, Qin J, Pedrycz W (2019) Flexible linguistic expressions and consensus reaching with accurate constraints in group decision-making. IEEE Trans Cybernet 50(6):2488\u20132501. https:\/\/doi.org\/10.1109\/TCYB.2019.2906318","journal-title":"IEEE Trans Cybernet"},{"key":"11205_CR68","doi-asserted-by":"publisher","first-page":"394","DOI":"10.1016\/j.ins.2019.06.049","volume":"502","author":"Q Wu","year":"2019","unstructured":"Wu Q, Zhou L, Chen Y, Chen H (2019) An integrated approach to green supplier selection based on the interval type-2 fuzzy best-worst and extended VIKOR methods, Information. Science 502:394\u2013417. https:\/\/doi.org\/10.1016\/j.ins.2019.06.049","journal-title":"Science"},{"key":"11205_CR69","doi-asserted-by":"publisher","first-page":"106757","DOI":"10.1016\/j.asoc.2020.106757","volume":"98","author":"Q Wu","year":"2021","unstructured":"Wu Q, Liu XW, Qin JD, Wang WZ, Zhou LG (2021) A linguistic distribution behavioral multi-criteria group decision making model integrating extended generalized TODIM and quantum decision theory. Appl Soft Comput 98:106757. https:\/\/doi.org\/10.1016\/j.asoc.2020.106757","journal-title":"Appl Soft Comput"},{"key":"11205_CR70","doi-asserted-by":"publisher","first-page":"108404","DOI":"10.1016\/j.cie.2022.108404","volume":"171","author":"P Wu","year":"2022","unstructured":"Wu P, Zhou L, Martinez L (2022) An integrated hesitant fuzzy linguistic model for multiple attribute group decision-making for health management center selection. Comput Ind Eng 171:108404. https:\/\/doi.org\/10.1016\/j.cie.2022.108404","journal-title":"Comput Ind Eng"},{"key":"11205_CR71","doi-asserted-by":"publisher","first-page":"3492","DOI":"10.1109\/TSMC.2021.3072388","volume":"52","author":"Q Wu","year":"2022","unstructured":"Wu Q, Liu XW, Zhou LG, Tao ZF, Qin JD (2022) A quantum framework for modeling interference effects in linguistic distribution multiple criteria group decision making. IEEE Trans Syst, Man, Cybernet: Syst 52:3492\u20133507. https:\/\/doi.org\/10.1109\/TSMC.2021.3072388","journal-title":"IEEE Trans Syst, Man, Cybernet: Syst"},{"key":"11205_CR72","doi-asserted-by":"publisher","first-page":"249","DOI":"10.1016\/j.omega.2004.04.008","volume":"33","author":"Z Xu","year":"2005","unstructured":"Xu Z (2005) Deviation measures of linguistic preference relations in group decision making. Omega 33:249\u2013254. https:\/\/doi.org\/10.1016\/j.omega.2004.04.008","journal-title":"Omega"},{"key":"11205_CR73","doi-asserted-by":"publisher","first-page":"135","DOI":"10.1016\/j.ijpe.2017.11.016","volume":"196","author":"A Yadlapalli","year":"2017","unstructured":"Yadlapalli A, Rahman S, Gunasekaran A (2017) Socially responsible governance mechanisms for manufacturing firms in apparel supply chains. Int J Prod Econ 196:135\u2013149. https:\/\/doi.org\/10.1016\/j.ijpe.2017.11.016","journal-title":"Int J Prod Econ"},{"key":"11205_CR74","doi-asserted-by":"publisher","first-page":"433","DOI":"10.1007\/s10726-018-9603-9","volume":"28","author":"FB Yeni","year":"2019","unstructured":"Yeni FB, Ozcelik G (2019) Interval-valued Atanassov intuitionistic fuzzy CODAS method for multi criteria group decision making problems. Group Decis Negot 28:433\u2013452. https:\/\/doi.org\/10.1007\/s10726-018-9603-9","journal-title":"Group Decis Negot"},{"key":"11205_CR75","doi-asserted-by":"publisher","first-page":"8207","DOI":"10.1007\/s00500-018-3455-8","volume":"23","author":"WQ Zhang","year":"2019","unstructured":"Zhang WQ, Deng Y (2019) Combining conflicting evidence using the DEMATEL method. Soft Comput 23:8207\u20138216. https:\/\/doi.org\/10.1007\/s00500-018-3455-8","journal-title":"Soft Comput"},{"key":"11205_CR76","doi-asserted-by":"publisher","first-page":"110847","DOI":"10.1016\/j.cie.2024.110847","volume":"200","author":"Q Zheng","year":"2025","unstructured":"Zheng Q, Liu X (2025) A consensus-based multi-criteria decision making method integrating GLDS method and quantum probability theory for risk analysis of human errors. Comput Ind Eng 200:110847. https:\/\/doi.org\/10.1016\/j.cie.2024.110847","journal-title":"Comput Ind Eng"}],"container-title":["Artificial Intelligence Review"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/link.springer.com\/content\/pdf\/10.1007\/s10462-025-11205-x.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/link.springer.com\/article\/10.1007\/s10462-025-11205-x\/fulltext.html","content-type":"text\/html","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/link.springer.com\/content\/pdf\/10.1007\/s10462-025-11205-x.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2025,5,13]],"date-time":"2025-05-13T17:43:28Z","timestamp":1747158208000},"score":1,"resource":{"primary":{"URL":"https:\/\/link.springer.com\/10.1007\/s10462-025-11205-x"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2025,4,11]]},"references-count":76,"journal-issue":{"issue":"7","published-online":{"date-parts":[[2025,7]]}},"alternative-id":["11205"],"URL":"https:\/\/doi.org\/10.1007\/s10462-025-11205-x","relation":{},"ISSN":["1573-7462"],"issn-type":[{"value":"1573-7462","type":"electronic"}],"subject":[],"published":{"date-parts":[[2025,4,11]]},"assertion":[{"value":"23 March 2025","order":1,"name":"accepted","label":"Accepted","group":{"name":"ArticleHistory","label":"Article History"}},{"value":"11 April 2025","order":2,"name":"first_online","label":"First Online","group":{"name":"ArticleHistory","label":"Article History"}},{"order":1,"name":"Ethics","group":{"name":"EthicsHeading","label":"Declarations"}},{"value":"The authors declare that they have no Conflict of interest.","order":2,"name":"Ethics","group":{"name":"EthicsHeading","label":"Conflict of interest"}}],"article-number":"199"}}