{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,1,19]],"date-time":"2026-01-19T07:59:36Z","timestamp":1768809576531,"version":"3.49.0"},"reference-count":37,"publisher":"Springer Science and Business Media LLC","issue":"11","license":[{"start":{"date-parts":[[2024,6,16]],"date-time":"2024-06-16T00:00:00Z","timestamp":1718496000000},"content-version":"tdm","delay-in-days":0,"URL":"https:\/\/www.springernature.com\/gp\/researchers\/text-and-data-mining"},{"start":{"date-parts":[[2024,6,16]],"date-time":"2024-06-16T00:00:00Z","timestamp":1718496000000},"content-version":"vor","delay-in-days":0,"URL":"https:\/\/www.springernature.com\/gp\/researchers\/text-and-data-mining"}],"funder":[{"DOI":"10.13039\/501100001809","name":"National Natural Science Foundation of China","doi-asserted-by":"publisher","award":["71771110"],"award-info":[{"award-number":["71771110"]}],"id":[{"id":"10.13039\/501100001809","id-type":"DOI","asserted-by":"publisher"}]},{"DOI":"10.13039\/501100013139","name":"Humanities and Social Science Fund of Ministry of Education of China","doi-asserted-by":"publisher","award":["16YJA630014"],"award-info":[{"award-number":["16YJA630014"]}],"id":[{"id":"10.13039\/501100013139","id-type":"DOI","asserted-by":"publisher"}]}],"content-domain":{"domain":["link.springer.com"],"crossmark-restriction":false},"short-container-title":["Int. J. Mach. Learn. &amp; Cyber."],"published-print":{"date-parts":[[2024,11]]},"DOI":"10.1007\/s13042-024-02231-2","type":"journal-article","created":{"date-parts":[[2024,6,16]],"date-time":"2024-06-16T10:01:16Z","timestamp":1718532076000},"page":"5217-5237","update-policy":"https:\/\/doi.org\/10.1007\/springer_crossmark_policy","source":"Crossref","is-referenced-by-count":3,"title":["Efficient identification technique for 2-additive fuzzy measures with consideration of objective relationships among features"],"prefix":"10.1007","volume":"15","author":[{"given":"Xueting","family":"Guan","sequence":"first","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Kaihong","family":"Guo","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"He","family":"Tian","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"297","published-online":{"date-parts":[[2024,6,16]]},"reference":[{"key":"2231_CR1","unstructured":"Sugeno M (1974) Theory of fuzzy integrals and its applications. PhD thesis, Tokyo Institute of Technology"},{"issue":"1","key":"2231_CR2","doi-asserted-by":"publisher","first-page":"3","DOI":"10.1016\/01650114(78)90029-5","volume":"1","author":"LA Zadeh","year":"1978","unstructured":"Zadeh LA (1978) Fuzzy sets as a basis for a theory of possibility. Fuzzy Set Syst 1(1):3\u201328. https:\/\/doi.org\/10.1016\/01650114(78)90029-5","journal-title":"Fuzzy Set Syst"},{"key":"2231_CR3","doi-asserted-by":"publisher","DOI":"10.1515\/9780691214696","volume-title":"A mathematical theory of evidence","author":"GA Shafer","year":"1976","unstructured":"Shafer GA (1976) A mathematical theory of evidence. Princeton University Press, Princeton. https:\/\/doi.org\/10.1515\/9780691214696"},{"issue":"supp01","key":"2231_CR4","doi-asserted-by":"publisher","first-page":"105","DOI":"10.1142\/S0218488502001867","volume":"10","author":"P Miranda","year":"2002","unstructured":"Miranda P, Grabisch M, Gil P (2002) p-Symmetric fuzzy measures. Int J Uncertain Fuzz 10(supp01):105\u2013123. https:\/\/doi.org\/10.1142\/S0218488502001867","journal-title":"Int J Uncertain Fuzz"},{"issue":"2","key":"2231_CR5","doi-asserted-by":"publisher","first-page":"167","DOI":"10.1016\/S0165-0114(97)00168-1","volume":"92","author":"M Grabisch","year":"1997","unstructured":"Grabisch M (1997) k-order additive discrete fuzzy measures and their representation. Fuzzy Set Syst 92(2):167\u2013189. https:\/\/doi.org\/10.1016\/S0165-0114(97)00168-1","journal-title":"Fuzzy Set Syst"},{"issue":"3","key":"2231_CR6","doi-asserted-by":"publisher","first-page":"771","DOI":"10.1016\/S0377-2217(02)00885-8","volume":"155","author":"JL Marichal","year":"2004","unstructured":"Marichal JL (2004) Tolerant or intolerant character of interacting criteria in aggregation by the Choquet integral. Eur J Oper Res 155(3):771\u2013791. https:\/\/doi.org\/10.1016\/S0377-2217(02)00885-8","journal-title":"Eur J Oper Res"},{"issue":"3","key":"2231_CR7","doi-asserted-by":"publisher","first-page":"1453","DOI":"10.1016\/j.ejor.2005.04.015","volume":"177","author":"JL Marichal","year":"2007","unstructured":"Marichal JL (2007) k-intolerant capacities and Choquet integrals. Eur J Oper Res 177(3):1453\u20131468. https:\/\/doi.org\/10.1016\/j.ejor.2005.04.015","journal-title":"Eur J Oper Res"},{"key":"2231_CR8","doi-asserted-by":"publisher","first-page":"127","DOI":"10.1016\/j.fss.2017.12.016","volume":"346","author":"R Mesiar","year":"2018","unstructured":"Mesiar R, Koles\u00e1rov\u00e1 A (2018) k-maxitive aggregation functions. Fuzzy Set Syst 346:127\u2013137. https:\/\/doi.org\/10.1016\/j.fss.2017.12.016","journal-title":"Fuzzy Set Syst"},{"issue":"2","key":"2231_CR9","doi-asserted-by":"publisher","first-page":"2797","DOI":"10.3233\/JIFS-190008","volume":"37","author":"JZ Wu","year":"2019","unstructured":"Wu JZ, Beliakov G (2019) k-minitive capacities and k-minitive aggregation functions. J Intell Fuzzy Syst 37(2):2797\u20132808. https:\/\/doi.org\/10.3233\/JIFS-190008","journal-title":"J Intell Fuzzy Syst"},{"key":"2231_CR10","doi-asserted-by":"publisher","first-page":"48","DOI":"10.1016\/j.fss.2020.12.010","volume":"430","author":"G Beliakov","year":"2022","unstructured":"Beliakov G, Cabrerizo FJ, Herrera-Viedma E, Wu JZ (2022) Random generation of k-interactive capacities. Fuzzy Set Syst 430:48\u201355. https:\/\/doi.org\/10.1016\/j.fss.2020.12.010","journal-title":"Fuzzy Set Syst"},{"key":"2231_CR11","doi-asserted-by":"publisher","first-page":"100","DOI":"10.1016\/j.ins.2019.04.042","volume":"494","author":"G Beliakov","year":"2019","unstructured":"Beliakov G, Wu JZ (2019) Learning fuzzy measures from data: simplifications and optimisation strategies. Inf Sci 494:100\u2013113. https:\/\/doi.org\/10.1016\/j.ins.2019.04.042","journal-title":"Inf Sci"},{"issue":"6","key":"2231_CR12","doi-asserted-by":"publisher","first-page":"1102","DOI":"10.1109\/TFUZZ.2012.2196050","volume":"20","author":"AF Tehrani","year":"2012","unstructured":"Tehrani AF, Cheng W, H\u00fcllermeier E (2012) Preference learning using the Choquet integral: the case of multipartite ranking. IEEE Trans Fuzzy Syst 20(6):1102\u20131113. https:\/\/doi.org\/10.1109\/TFUZZ.2012.2196050","journal-title":"IEEE Trans Fuzzy Syst"},{"key":"2231_CR13","doi-asserted-by":"publisher","first-page":"1481","DOI":"10.1016\/j.ins.2019.10.044","volume":"512","author":"YY Liang","year":"2020","unstructured":"Liang YY, Qin J, Mart\u00ednez L, Liu J (2020) A heterogeneous QUALIFLEX method with criteria interaction for multi-criteria group decision making. Inf Sci 512:1481\u20131502. https:\/\/doi.org\/10.1016\/j.ins.2019.10.044","journal-title":"Inf Sci"},{"key":"2231_CR14","doi-asserted-by":"publisher","first-page":"10247","DOI":"10.1016\/j.jii.2021.100247","volume":"25","author":"SH Lou","year":"2022","unstructured":"Lou SH, Feng YX, Li ZW, Tan JR (2022) Two-additive fuzzy measure-based information integration approach to product design alternative evaluation. J Ind Inf Integr 25:10247. https:\/\/doi.org\/10.1016\/j.jii.2021.100247","journal-title":"J Ind Inf Integr"},{"issue":"3","key":"2231_CR15","doi-asserted-by":"publisher","first-page":"807","DOI":"10.1111\/itor.12472","volume":"25","author":"JZ Wu","year":"2018","unstructured":"Wu JZ, Pap E, Szakal A (2018) Two kinds of explicit preference information oriented capacity identification methods in the context of multicriteria decision analysis. Int Trans Oper Res 25(3):807\u2013830. https:\/\/doi.org\/10.1111\/itor.12472","journal-title":"Int Trans Oper Res"},{"issue":"6","key":"2231_CR16","doi-asserted-by":"publisher","first-page":"2094","DOI":"10.1109\/TFUZZ.2015.2403851","volume":"23","author":"JZ Wu","year":"2015","unstructured":"Wu JZ, Yang S, Zhang Q, Ding S (2015) 2-Additive capacity identification methods from multicriteria correlation preference information. IEEE Trans Fuzzy Syst 23(6):2094\u20132106. https:\/\/doi.org\/10.1109\/TFUZZ.2015.2403851","journal-title":"IEEE Trans Fuzzy Syst"},{"key":"2231_CR17","doi-asserted-by":"publisher","first-page":"435","DOI":"10.1007\/s10700-010-9086-x","volume":"9","author":"JZ Wu","year":"2010","unstructured":"Wu JZ, Zhang Q (2010) 2-Order additive fuzzy measure identification method based on diamond pairwise comparison and maximum entropy principle. Fuzzy Optim Decis Ma 9:435\u2013453. https:\/\/doi.org\/10.1007\/s10700-010-9086-x","journal-title":"Fuzzy Optim Decis Ma"},{"key":"2231_CR18","doi-asserted-by":"publisher","first-page":"91","DOI":"10.1016\/j.fss.2013.12.016","volume":"246","author":"JZ Wu","year":"2014","unstructured":"Wu JZ, Zhang Q, Du Q, Dong Z (2014) Compromise principle based methods of identifying capacities in the framework of multicriteria decision analysis. Fuzzy Set Syst 246:91\u2013106. https:\/\/doi.org\/10.1016\/j.fss.2013.12.016","journal-title":"Fuzzy Set Syst"},{"key":"2231_CR19","doi-asserted-by":"publisher","first-page":"115636","DOI":"10.1016\/j.eswa.2021.115636","volume":"185","author":"X Zhang","year":"2021","unstructured":"Zhang X, Li J, Eres H, Zheng C (2021) Prioritizing and aggregating interacting requirements for product-service system development. Expert Syst Appl 185:115636. https:\/\/doi.org\/10.1016\/j.eswa.2021.115636","journal-title":"Expert Syst Appl"},{"issue":"2","key":"2231_CR20","doi-asserted-by":"publisher","first-page":"766","DOI":"10.1016\/j.ejor.2007.02.025","volume":"186","author":"M Grabisch","year":"2008","unstructured":"Grabisch M, Kojadinovic I, Meyer P (2008) A review of methods for capacity identification in Choquet integral based multi-attribute utility theory: applications of the Kappalab R package. Eur J Oper Res 186(2):766\u2013785. https:\/\/doi.org\/10.1016\/j.ejor.2007.02.025","journal-title":"Eur J Oper Res"},{"issue":"3","key":"2231_CR21","doi-asserted-by":"publisher","first-page":"641","DOI":"10.1016\/S0377-2217(99)00182-4","volume":"124","author":"JL Marichal","year":"2000","unstructured":"Marichal JL, Roubens M (2000) Determination of weights of interacting criteria from a reference set. Eur J Oper Res 124(3):641\u2013650. https:\/\/doi.org\/10.1016\/S0377-2217(99)00182-4","journal-title":"Eur J Oper Res"},{"issue":"1","key":"2231_CR22","doi-asserted-by":"publisher","first-page":"65","DOI":"10.1016\/j.fss.2008.07.004","volume":"160","author":"G Beliakov","year":"2009","unstructured":"Beliakov G (2009) Construction of aggregation functions from data using linear programming. Fuzzy Set Syst 160(1):65\u201375. https:\/\/doi.org\/10.1016\/j.fss.2008.07.004","journal-title":"Fuzzy Set Syst"},{"key":"2231_CR23","doi-asserted-by":"publisher","first-page":"183","DOI":"10.1007\/s10994-012-5318-3","volume":"89","author":"AF Tehrani","year":"2012","unstructured":"Tehrani AF, Cheng W, Dembczynski K, H\u00fcllermeier E (2012) Learning monotone nonlinear models using the Choquet integral. Mach Learn 89:183\u2013211. https:\/\/doi.org\/10.1007\/s10994-012-5318-3","journal-title":"Mach Learn"},{"key":"2231_CR24","doi-asserted-by":"publisher","first-page":"119205","DOI":"10.1016\/j.eswa.2022.119205","volume":"214","author":"SR Bonab","year":"2023","unstructured":"Bonab SR, Ghoushchi SJ, Deveci M, Haseli G (2023) Logistic autonomous vehicles assessment using decision support model under spherical fuzzy set integrated Choquet integral approach. Expert Syst Appl 214:119205. https:\/\/doi.org\/10.1016\/j.eswa.2022.119205","journal-title":"Expert Syst Appl"},{"key":"2231_CR25","doi-asserted-by":"publisher","first-page":"104014","DOI":"10.1016\/j.artint.2023.104014","volume":"325","author":"GD Pelegrina","year":"2023","unstructured":"Pelegrina GD, Duarte LT, Grabisch M (2023) A k-additive Choquet integral-based approach to approximate the SHAP values for local interpretability in machine learning. Artif Intell 325:104014. https:\/\/doi.org\/10.1016\/j.artint.2023.104014","journal-title":"Artif Intell"},{"key":"2231_CR26","doi-asserted-by":"publisher","first-page":"110643","DOI":"10.1016\/j.asoc.2023.110643","volume":"146","author":"H Song","year":"2023","unstructured":"Song H, Gong Z, Wei G, Guo W, Ma X, Herrera-Viedma E (2023) Non-additive robust ordinal regression: a multicriteria decision model based on hierarchical-level-bidirectional Choquet integral. Appl Soft Comput 146:110643. https:\/\/doi.org\/10.1016\/j.asoc.2023.110643","journal-title":"Appl Soft Comput"},{"key":"2231_CR27","doi-asserted-by":"publisher","first-page":"80","DOI":"10.1016\/j.fss.2022.08.025","volume":"457","author":"D Zhang","year":"2023","unstructured":"Zhang D, Guo C (2023) Choquet integrals of set-valued functions with respect to set-valued fuzzy measures. Fuzzy Set Syst 457:80\u2013104. https:\/\/doi.org\/10.1016\/j.fss.2022.08.025","journal-title":"Fuzzy Set Syst"},{"issue":"5","key":"2231_CR28","doi-asserted-by":"publisher","first-page":"627","DOI":"10.1109\/91.873585","volume":"8","author":"M Grabisch","year":"2000","unstructured":"Grabisch M (2000) A graphical interpretation of the Choquet integral. IEEE Trans Fuzzy Syst 8(5):627\u2013631. https:\/\/doi.org\/10.1109\/91.873585","journal-title":"IEEE Trans Fuzzy Syst"},{"issue":"3","key":"2231_CR29","doi-asserted-by":"publisher","first-page":"612","DOI":"10.1016\/S0377-2217(01)00088-1","volume":"137","author":"JL Marichal","year":"2002","unstructured":"Marichal JL (2002) Entropy of discrete Choquet capacities. Eur J Oper Res 137(3):612\u2013624. https:\/\/doi.org\/10.1016\/S0377-2217(01)00088-1","journal-title":"Eur J Oper Res"},{"issue":"1","key":"2231_CR30","doi-asserted-by":"publisher","first-page":"682","DOI":"10.1016\/j.rser.2017.08.050","volume":"81","author":"GD Tian","year":"2018","unstructured":"Tian GD, Zhang HH, Feng YX, Wang DQ, Peng Y, Jia HF (2018) Green decoration materials selection under interior environment characteristics: a grey-correlation based hybrid MCDM method. Renew Sust Energ Rev 81(1):682\u2013692. https:\/\/doi.org\/10.1016\/j.rser.2017.08.050","journal-title":"Renew Sust Energ Rev"},{"issue":"1","key":"2231_CR31","doi-asserted-by":"publisher","first-page":"57","DOI":"10.31181\/dmame0313052021b","volume":"6","author":"B Bairagi","year":"2023","unstructured":"Bairagi B (2023) A new framework for green selection of material handling equipment under fuzzy environment. Decis Mak Appl Manag Eng 6(1):57\u201369. https:\/\/doi.org\/10.31181\/dmame0313052021b","journal-title":"Decis Mak Appl Manag Eng"},{"key":"2231_CR32","doi-asserted-by":"publisher","first-page":"118268","DOI":"10.1016\/j.eswa.2022.118268","volume":"209","author":"AS Bhaskar","year":"2022","unstructured":"Bhaskar AS, Khan A (2022) Comparative analysis of hybrid MCDM methods in material selection for dental applications. Expert Syst Appl 209:118268. https:\/\/doi.org\/10.1016\/j.eswa.2022.118268","journal-title":"Expert Syst Appl"},{"issue":"3","key":"2231_CR33","doi-asserted-by":"publisher","first-page":"393","DOI":"10.3390\/sym11030393","volume":"11","author":"J Roy","year":"2019","unstructured":"Roy J, Das S, Kar S, Pamucar D (2019) An extension of the CODAS approach using interval-valued intuitionistic fuzzy set for sustainable material selection in construction projects with incomplete weight information. Symmetry 11(3):393. https:\/\/doi.org\/10.3390\/sym11030393","journal-title":"Symmetry"},{"key":"2231_CR34","doi-asserted-by":"publisher","first-page":"195","DOI":"10.3923\/ajsr.2018.195.202","volume":"11","author":"LK Sa","year":"2018","unstructured":"Sa LK, Nhung NC, Chien LV, Tuan NA, Tu PV (2018) Green material selection using an integrated fuzzy multi-criteria decision making model. Asian J Sci Res 11:195\u2013202. https:\/\/doi.org\/10.3923\/ajsr.2018.195.202","journal-title":"Asian J Sci Res"},{"key":"2231_CR35","doi-asserted-by":"publisher","first-page":"128608","DOI":"10.1016\/j.conbuildmat.2022.128608","volume":"348","author":"A Soni","year":"2022","unstructured":"Soni A, Chakraborty S, Das PK, Saha AK (2022) Materials selection of reinforced sustainable composites by recycling waste plastics and agro-waste: an integrated multi-criteria decision making approach. Constr Build Mater 348:128608. https:\/\/doi.org\/10.1016\/j.conbuildmat.2022.128608","journal-title":"Constr Build Mater"},{"key":"2231_CR36","doi-asserted-by":"publisher","first-page":"107089","DOI":"10.1016\/j.est.2023.107089","volume":"66","author":"M Tajik","year":"2023","unstructured":"Tajik M, Makui A, Tosarkani BM (2023) Sustainable cathode material selection in lithium-ion batteries using a novel hybrid multi-criteria decision-making. J Energ Storage 66:107089. https:\/\/doi.org\/10.1016\/j.est.2023.107089","journal-title":"J Energ Storage"},{"key":"2231_CR37","doi-asserted-by":"publisher","first-page":"106483","DOI":"10.1016\/j.engappai.2023.106483","volume":"123","author":"GQ Xie","year":"2023","unstructured":"Xie GQ, Wang K, Wu X, Wang J, Li T, Peng Y, Zhang HH (2023) A hybrid multi-stage decision-making method with probabilistic interval-valued hesitant fuzzy set for 3D printed composite material selection. Eng Appl Artif Intell 123:106483. https:\/\/doi.org\/10.1016\/j.engappai.2023.106483","journal-title":"Eng Appl Artif Intell"}],"container-title":["International Journal of Machine Learning and Cybernetics"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/link.springer.com\/content\/pdf\/10.1007\/s13042-024-02231-2.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/link.springer.com\/article\/10.1007\/s13042-024-02231-2\/fulltext.html","content-type":"text\/html","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/link.springer.com\/content\/pdf\/10.1007\/s13042-024-02231-2.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2024,10,9]],"date-time":"2024-10-09T05:22:57Z","timestamp":1728451377000},"score":1,"resource":{"primary":{"URL":"https:\/\/link.springer.com\/10.1007\/s13042-024-02231-2"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2024,6,16]]},"references-count":37,"journal-issue":{"issue":"11","published-print":{"date-parts":[[2024,11]]}},"alternative-id":["2231"],"URL":"https:\/\/doi.org\/10.1007\/s13042-024-02231-2","relation":{},"ISSN":["1868-8071","1868-808X"],"issn-type":[{"value":"1868-8071","type":"print"},{"value":"1868-808X","type":"electronic"}],"subject":[],"published":{"date-parts":[[2024,6,16]]},"assertion":[{"value":"19 August 2023","order":1,"name":"received","label":"Received","group":{"name":"ArticleHistory","label":"Article History"}},{"value":"29 May 2024","order":2,"name":"accepted","label":"Accepted","group":{"name":"ArticleHistory","label":"Article History"}},{"value":"16 June 2024","order":3,"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 with no potential competing financial interests or individual relationships that might influence the work reported herein.","order":2,"name":"Ethics","group":{"name":"EthicsHeading","label":"Conflict of interest"}}]}}