{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,3,18]],"date-time":"2026-03-18T08:50:49Z","timestamp":1773823849779,"version":"3.50.1"},"reference-count":57,"publisher":"Elsevier BV","license":[{"start":{"date-parts":[[2026,1,1]],"date-time":"2026-01-01T00:00:00Z","timestamp":1767225600000},"content-version":"tdm","delay-in-days":0,"URL":"https:\/\/www.elsevier.com\/tdm\/userlicense\/1.0\/"},{"start":{"date-parts":[[2026,1,1]],"date-time":"2026-01-01T00:00:00Z","timestamp":1767225600000},"content-version":"tdm","delay-in-days":0,"URL":"https:\/\/www.elsevier.com\/legal\/tdmrep-license"},{"start":{"date-parts":[[2026,1,1]],"date-time":"2026-01-01T00:00:00Z","timestamp":1767225600000},"content-version":"stm-asf","delay-in-days":0,"URL":"https:\/\/doi.org\/10.15223\/policy-017"},{"start":{"date-parts":[[2026,1,1]],"date-time":"2026-01-01T00:00:00Z","timestamp":1767225600000},"content-version":"stm-asf","delay-in-days":0,"URL":"https:\/\/doi.org\/10.15223\/policy-037"},{"start":{"date-parts":[[2026,1,1]],"date-time":"2026-01-01T00:00:00Z","timestamp":1767225600000},"content-version":"stm-asf","delay-in-days":0,"URL":"https:\/\/doi.org\/10.15223\/policy-012"},{"start":{"date-parts":[[2026,1,1]],"date-time":"2026-01-01T00:00:00Z","timestamp":1767225600000},"content-version":"stm-asf","delay-in-days":0,"URL":"https:\/\/doi.org\/10.15223\/policy-029"},{"start":{"date-parts":[[2026,1,1]],"date-time":"2026-01-01T00:00:00Z","timestamp":1767225600000},"content-version":"stm-asf","delay-in-days":0,"URL":"https:\/\/doi.org\/10.15223\/policy-004"}],"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 the People's Republic 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":["elsevier.com","sciencedirect.com"],"crossmark-restriction":true},"short-container-title":["Applied Soft Computing"],"published-print":{"date-parts":[[2026,1]]},"DOI":"10.1016\/j.asoc.2025.114210","type":"journal-article","created":{"date-parts":[[2025,11,16]],"date-time":"2025-11-16T05:55:58Z","timestamp":1763272558000},"page":"114210","update-policy":"https:\/\/doi.org\/10.1016\/elsevier_cm_policy","source":"Crossref","is-referenced-by-count":0,"special_numbering":"PD","title":["Unsupervised learning for 2-additive capacity identification based on rank correlation"],"prefix":"10.1016","volume":"186","author":[{"given":"Kaihong","family":"Guo","sequence":"first","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"ORCID":"https:\/\/orcid.org\/0000-0002-8995-282X","authenticated-orcid":false,"given":"Xueting","family":"Guan","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"78","reference":[{"issue":"6","key":"10.1016\/j.asoc.2025.114210_bib1","doi-asserted-by":"crossref","first-page":"1063","DOI":"10.1109\/TFUZZ.2007.895977","article-title":"A view of averaging aggregation operator","volume":"15","author":"Torra","year":"2007","journal-title":"IEEE Trans. Fuzzy Syst."},{"key":"10.1016\/j.asoc.2025.114210_bib2","doi-asserted-by":"crossref","first-page":"131","DOI":"10.5802\/aif.53","article-title":"Theory of capacities","volume":"5","author":"Choquet","year":"1954","journal-title":"Ann. De. L\u2019Inst. Fourier"},{"issue":"2","key":"10.1016\/j.asoc.2025.114210_bib3","doi-asserted-by":"crossref","first-page":"766","DOI":"10.1016\/j.ejor.2007.02.025","article-title":"A review of methods for capacity identification in Choquet integral based multi-attribute utility theory: applications of the Kappalab R package","volume":"186","author":"Grabisch","year":"2008","journal-title":"Eur. J. Oper. Res."},{"issue":"2","key":"10.1016\/j.asoc.2025.114210_bib4","doi-asserted-by":"crossref","first-page":"293","DOI":"10.1109\/TEM.2017.2743064","article-title":"A novel multicriteria decision aiding method based on unsupervised aggregation via the Choquet integral","volume":"65","author":"Duarte","year":"2018","journal-title":"IEEE Trans. Eng. Manag."},{"key":"10.1016\/j.asoc.2025.114210_bib5","doi-asserted-by":"crossref","DOI":"10.1016\/j.asoc.2022.108727","article-title":"Choquet capacity identification for multiple criteria sorting problems: a novel proposal based on stochastic acceptability multicriteria analysis","volume":"120","author":"Pelissari","year":"2022","journal-title":"Appl. Soft Comput."},{"key":"10.1016\/j.asoc.2025.114210_bib6","doi-asserted-by":"crossref","DOI":"10.1016\/j.asoc.2023.110643","article-title":"Non-additive robust ordinal regression: a multicriteria decision model based on hierarchical-level-bidirectional choquet integral","volume":"146","author":"Song","year":"2023","journal-title":"Appl. Soft Comput."},{"key":"10.1016\/j.asoc.2025.114210_bib7","doi-asserted-by":"crossref","DOI":"10.1016\/j.artint.2023.104014","article-title":"A k-additive Choquet integral-based approach to approximate the SHAP values for local interpretability in machine learning","volume":"325","author":"Pelegrina","year":"2023","journal-title":"Artif. Intell."},{"key":"10.1016\/j.asoc.2025.114210_bib8","doi-asserted-by":"crossref","DOI":"10.1016\/j.asoc.2023.111198","article-title":"A 2-additive Choquet integral-based multi-criterion decision-making method with complex linguistic information in drug value assessment","volume":"152","author":"Fang","year":"2024","journal-title":"Appl. Soft Comput."},{"key":"10.1016\/j.asoc.2025.114210_bib9","series-title":"Theory of Fuzzy Integrals and its Applications (PhD thesis)","author":"Sugeno","year":"1974"},{"key":"10.1016\/j.asoc.2025.114210_bib10","doi-asserted-by":"crossref","first-page":"3","DOI":"10.1016\/0165-0114(78)90029-5","article-title":"Fuzzy sets as a basis for a theory of possibility","volume":"1","author":"Zadeh","year":"1978","journal-title":"Fuzzy Sets Syst."},{"key":"10.1016\/j.asoc.2025.114210_bib11","doi-asserted-by":"crossref","first-page":"105","DOI":"10.1142\/S0218488502001867","article-title":"p-symmetric fuzzy measures","volume":"10","author":"Miranda","year":"2002","journal-title":"Int. J. Uncertain. Fuzziness Knowl.-Based Syst."},{"issue":"2","key":"10.1016\/j.asoc.2025.114210_bib12","doi-asserted-by":"crossref","first-page":"167","DOI":"10.1016\/S0165-0114(97)00168-1","article-title":"k-order additive discrete fuzzy measures and their representation","volume":"92","author":"Grabisch","year":"1997","journal-title":"Fuzzy Sets Syst."},{"issue":"3","key":"10.1016\/j.asoc.2025.114210_bib13","doi-asserted-by":"crossref","first-page":"771","DOI":"10.1016\/S0377-2217(02)00885-8","article-title":"Tolerant or intolerant character of interacting criteria in aggregation by the Choquet integral","volume":"155","author":"Marichal","year":"2004","journal-title":"Eur. J. Oper. Res."},{"issue":"3","key":"10.1016\/j.asoc.2025.114210_bib14","doi-asserted-by":"crossref","first-page":"1453","DOI":"10.1016\/j.ejor.2005.04.015","article-title":"k-intolerant capacities and Choquet integrals","volume":"177","author":"Marichal","year":"2007","journal-title":"Eur. J. Oper. Res."},{"key":"10.1016\/j.asoc.2025.114210_bib15","doi-asserted-by":"crossref","first-page":"127","DOI":"10.1016\/j.fss.2017.12.016","article-title":"k-maxitive aggregation functions","volume":"346","author":"Mesiar","year":"2018","journal-title":"Fuzzy Sets Syst."},{"issue":"2","key":"10.1016\/j.asoc.2025.114210_bib16","first-page":"2797","article-title":"k-minitive capacities and k-minitive aggregation functions","volume":"37","author":"Wu","year":"2019","journal-title":"J. Intell. Fuzzy Syst."},{"key":"10.1016\/j.asoc.2025.114210_bib17","doi-asserted-by":"crossref","first-page":"100","DOI":"10.1016\/j.ins.2019.04.042","article-title":"Learning fuzzy measures from data: simplifications and optimisation strategies","volume":"494","author":"Beliakov","year":"2019","journal-title":"Inf. Sci."},{"key":"10.1016\/j.asoc.2025.114210_bib18","doi-asserted-by":"crossref","first-page":"48","DOI":"10.1016\/j.fss.2020.12.010","article-title":"Random generation of k-interactive capacities","volume":"430","author":"Beliakov","year":"2022","journal-title":"Fuzzy Sets Syst."},{"key":"10.1016\/j.asoc.2025.114210_bib19","first-page":"17","article-title":"Efficient learning of classifiers based on the 2-additive Choquet integral","volume":"SCI445","author":"H\u00fcllermeier","year":"2013"},{"issue":"2","key":"10.1016\/j.asoc.2025.114210_bib20","doi-asserted-by":"crossref","first-page":"1","DOI":"10.3390\/math8020301","article-title":"Nonadditivity index based quasi-random generation of capacities and its application in comprehensive decision aiding","volume":"8","author":"Huang","year":"2020","journal-title":"Mathematics"},{"key":"10.1016\/j.asoc.2025.114210_bib21","doi-asserted-by":"crossref","first-page":"5217","DOI":"10.1007\/s13042-024-02231-2","article-title":"Efficient identification technique for 2-additive fuzzy measures with consideration of objective relationships among features","volume":"15","author":"Guan","year":"2024","journal-title":"Int. J. Mach. Learn. Cybern."},{"key":"10.1016\/j.asoc.2025.114210_bib22","doi-asserted-by":"crossref","first-page":"1481","DOI":"10.1016\/j.ins.2019.10.044","article-title":"A heterogeneous QUALIFLEX method with criteria interaction for multi-criteria group decision making","volume":"512","author":"Liang","year":"2020","journal-title":"Inf. Sci."},{"key":"10.1016\/j.asoc.2025.114210_bib23","doi-asserted-by":"crossref","DOI":"10.1016\/j.eswa.2021.115636","article-title":"Prioritizing and aggregating interacting requirements for product-service system development","volume":"185","author":"Zhang","year":"2021","journal-title":"Expert Syst. Appl."},{"key":"10.1016\/j.asoc.2025.114210_bib24","article-title":"Two-additive fuzzy measure-based information integration approach to product design alternative evaluation","volume":"25","author":"Lou","year":"2022","journal-title":"J. Ind. Inf. Integr."},{"key":"10.1016\/j.asoc.2025.114210_bib25","doi-asserted-by":"crossref","DOI":"10.1016\/j.knosys.2019.105351","article-title":"Towards sophisticated decision models: nonadditive robust ordinal regression for preference modeling","volume":"190","author":"Beliakov","year":"2020","journal-title":"Knowl. Based Syst."},{"key":"10.1016\/j.asoc.2025.114210_bib26","first-page":"1","article-title":"Correlative decision preference information consistency check and comprehensive dominance representation method","volume":"2","author":"Wu","year":"2020","journal-title":"J. Intell. Fuzzy Syst."},{"key":"10.1016\/j.asoc.2025.114210_bib27","doi-asserted-by":"crossref","first-page":"424","DOI":"10.1016\/j.ins.2021.07.017","article-title":"Random generation of capacities and its application in comprehensive decision aiding","volume":"577","author":"Beliakov","year":"2021","journal-title":"Inf. Sci."},{"key":"10.1016\/j.asoc.2025.114210_bib28","doi-asserted-by":"crossref","first-page":"48","DOI":"10.1016\/j.fss.2020.12.010","article-title":"Random generation of k-interactive capacities","volume":"430","author":"Beliakov","year":"2022","journal-title":"Fuzzy Sets Syst."},{"key":"10.1016\/j.asoc.2025.114210_bib29","doi-asserted-by":"crossref","DOI":"10.1016\/j.ins.2023.120080","article-title":"Random generation of linearly constrained fuzzy measures and domain coverage performance evaluation","volume":"659","author":"Wu","year":"2024","journal-title":"Inf. Sci."},{"key":"10.1016\/j.asoc.2025.114210_bib30","doi-asserted-by":"crossref","first-page":"64","DOI":"10.1016\/j.fss.2012.09.006","article-title":"On random generation of fuzzy measures","volume":"228","author":"Combarro","year":"2013","journal-title":"Fuzzy Sets Syst."},{"issue":"3","key":"10.1016\/j.asoc.2025.114210_bib31","doi-asserted-by":"crossref","first-page":"741","DOI":"10.1016\/S0377-2217(02)00880-9","article-title":"Estimation of the weights of interacting criteria from the set of pro\ufb01les by means of information-theoretic functionals","volume":"155","author":"Kojadinovic","year":"2004","journal-title":"Eur. J. Oper. Res."},{"issue":"2","key":"10.1016\/j.asoc.2025.114210_bib32","doi-asserted-by":"crossref","first-page":"128","DOI":"10.1002\/int.20261","article-title":"Unsupervized aggregation of commensurate correlated attributes by means of the Choquet integral and entropy functionals","volume":"23","author":"Kojadinovic","year":"2008","journal-title":"Int. J. Intell. Syst."},{"key":"10.1016\/j.asoc.2025.114210_bib33","doi-asserted-by":"crossref","first-page":"70","DOI":"10.1016\/j.fss.2015.01.011","article-title":"A practical approach for estimating weights of interacting criteria from profile sets","volume":"272","author":"Rowley","year":"2015","journal-title":"Fuzzy Sets Syst."},{"key":"10.1016\/j.asoc.2025.114210_bib34","series-title":"International Conference on Modeling Decisions for Artificial Intelligence","first-page":"66","article-title":"An unsupervised capacity identification approach based on sobol\u2019 indices","author":"Pelegrina","year":"2020"},{"key":"10.1016\/j.asoc.2025.114210_bib35","doi-asserted-by":"crossref","DOI":"10.1016\/j.cie.2022.108171","article-title":"Dealing with redundancies among criteria in multicriteria decision making through independent component analysis","volume":"169","author":"Pelegrina","year":"2022","journal-title":"Comput. Ind. Eng."},{"issue":"12","key":"10.1016\/j.asoc.2025.114210_bib36","doi-asserted-by":"crossref","first-page":"7196","DOI":"10.1109\/TFUZZ.2024.3476484","article-title":"A novel unsupervised capacity identification approach to deal with redundant criteria in multicriteria decision making problems","volume":"32","author":"Pelegrina","year":"2024","journal-title":"IEEE Trans. Fuzzy Syst."},{"issue":"1","key":"10.1016\/j.asoc.2025.114210_bib37","doi-asserted-by":"crossref","first-page":"23","DOI":"10.3390\/math13010023","article-title":"Unsupervised identification for 2-additive capacity by principal component analysis and Kendall\u2019s correlation coefficient in multi-criteria decision-making","volume":"13","author":"Guan","year":"2025","journal-title":"Mathematics"},{"key":"10.1016\/j.asoc.2025.114210_bib38","first-page":"3","article-title":"On approximations of pseudo-Boolean functions, ZOR \u2013 methods models","volume":"36","author":"Hammer","year":"1992","journal-title":"Oper. Res"},{"issue":"3","key":"10.1016\/j.asoc.2025.114210_bib39","doi-asserted-by":"crossref","first-page":"263","DOI":"10.1016\/0165-4896(89)90056-5","article-title":"Some characterizations of lower probabilities and other monotone capacities through the use of M\u00f6bius inversion","volume":"17","author":"Chateauneuf","year":"1989","journal-title":"Math. Soc. Sci."},{"key":"10.1016\/j.asoc.2025.114210_bib40","series-title":"Contributions to the Theory of Games","first-page":"307","article-title":"A value for n-person games","volume":"28","author":"Shapley","year":"1953"},{"key":"10.1016\/j.asoc.2025.114210_bib41","series-title":"Proceedings of the 9th Fuzzy System Symposium, Sapporo, Japan, 17\u201319 May","first-page":"693","article-title":"Techniques for reading fuzzy measures (III): Interaction index","author":"Murofushi","year":"1993"},{"key":"10.1016\/j.asoc.2025.114210_bib42","doi-asserted-by":"crossref","first-page":"612","DOI":"10.1016\/S0377-2217(01)00088-1","article-title":"Entropy of discrete Choquet capacities","volume":"137","author":"Marichal","year":"2002","journal-title":"Eur. J. Oper. Res."},{"issue":"6","key":"10.1016\/j.asoc.2025.114210_bib43","doi-asserted-by":"crossref","first-page":"800","DOI":"10.1109\/91.890347","article-title":"An axiomatic approach of the discrete Choquet integral as a tool to aggregate interacting criteria","volume":"8","author":"Marichal","year":"2000","journal-title":"IEEE Trans. Fuzzy Syst."},{"issue":"7","key":"10.1016\/j.asoc.2025.114210_bib44","doi-asserted-by":"crossref","first-page":"1115","DOI":"10.3390\/math10071115","article-title":"Determining objective characteristics of MCDM methods under uncertainty: an exploration study with financial data","volume":"10","author":"Bayda\u015f","year":"2022","journal-title":"Mathematics"},{"key":"10.1016\/j.asoc.2025.114210_bib45","series-title":"Proceedings of the 2009 International Conference on Computers and Industrial Engineering, Troyes, France, 6\u20139 July 2009","first-page":"1815","article-title":"A simulation comparison of normalization procedures for TOPSIS","author":"Chakraborty","year":"2009"},{"issue":"10","key":"10.1016\/j.asoc.2025.114210_bib46","doi-asserted-by":"crossref","first-page":"913","DOI":"10.1080\/08839514.2019.1637138","article-title":"Comparison of performance of data imputation methods for numeric dataset","volume":"33","author":"Jadhav","year":"2019","journal-title":"Appl. Artif. Intell."},{"key":"10.1016\/j.asoc.2025.114210_bib47","series-title":"International Symposium for \u201cThe Organization and Management of Construction\u201d","first-page":"94","article-title":"Determination of an ef\ufb01cient contractor by using the new method of multicriteria assessment","author":"Zavadskas","year":"1996"},{"key":"10.1016\/j.asoc.2025.114210_bib48","series-title":"Multiple Attribute Decision Making","first-page":"58","article-title":"Methods for multiple attribute decision making","author":"Hwang","year":"1981"},{"key":"10.1016\/j.asoc.2025.114210_bib49","first-page":"445","article-title":"The MOORA method and its application to privatization in a transition economy","volume":"35","author":"Brauers","year":"2006","journal-title":"Control Cybern."},{"issue":"3","key":"10.1016\/j.asoc.2025.114210_bib50","first-page":"25","article-title":"A new combinative distance-based assessment (CODAS) method for multi-criteria decision-making","volume":"50","author":"Ghorabaee","year":"2016","journal-title":"Econ. Comput. Econ. Cybern. Stud. Res."},{"issue":"2","key":"10.1016\/j.asoc.2025.114210_bib51","doi-asserted-by":"crossref","first-page":"560","DOI":"10.1021\/acs.iecr.6b03453","article-title":"Application and analysis of methods for selecting an optimal solution from the Pareto-optimal front obtained by multiobjective optimization","volume":"56","author":"Wang","year":"2017","journal-title":"Ind. Eng. Chem. Res."},{"key":"10.1016\/j.asoc.2025.114210_bib52","doi-asserted-by":"crossref","first-page":"271","DOI":"10.1007\/s40092-018-0289-z","article-title":"Application of PROMETHEE method for green supplier selection: a comparative result based on preference functions","volume":"15","author":"Abdullah","year":"2019","journal-title":"J. Ind. Eng. Int."},{"issue":"33","key":"10.1016\/j.asoc.2025.114210_bib53","doi-asserted-by":"crossref","first-page":"14850","DOI":"10.1021\/acs.iecr.0c00969","article-title":"Analysis of weighting and selection methods for Pareto-optimal solutions of multi-objective optimization in chemical engineering applications","volume":"59","author":"Wang","year":"2020","journal-title":"Ind. Eng. Chem. Res."},{"issue":"2","key":"10.1016\/j.asoc.2025.114210_bib54","doi-asserted-by":"crossref","first-page":"257","DOI":"10.31181\/dmame210402257b","article-title":"An object\u0131ve criteria proposal for the comparison of MCDM and weighting methods in financial performance measurement: an application in Borsa Istanbul","volume":"4","author":"Bayda\u015f","year":"2021","journal-title":"Decis. Mak. Appl. Manag. Eng."},{"key":"10.1016\/j.asoc.2025.114210_bib55","doi-asserted-by":"crossref","DOI":"10.1016\/j.eswa.2022.116755","article-title":"Exploring the specific capacity of different multi criteria decision making approaches under uncertainty using data from financial markets","volume":"197","author":"Bayda\u015f","year":"2022","journal-title":"Expert Syst. Appl."},{"issue":"1\/2","key":"10.1016\/j.asoc.2025.114210_bib56","doi-asserted-by":"crossref","first-page":"298","DOI":"10.2307\/2333282","article-title":"Rank correlation methods","volume":"44","author":"Kendall","year":"1957","journal-title":"Biometrika"},{"issue":"1","key":"10.1016\/j.asoc.2025.114210_bib57","doi-asserted-by":"crossref","first-page":"129","DOI":"10.1287\/ijoc.2015.0662","article-title":"Classification, ranking, and top-K stability of recommendation algorithms","volume":"28","author":"Adomavicius","year":"2016","journal-title":"Inf. J. Comput."}],"container-title":["Applied Soft Computing"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/api.elsevier.com\/content\/article\/PII:S1568494625015236?httpAccept=text\/xml","content-type":"text\/xml","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/api.elsevier.com\/content\/article\/PII:S1568494625015236?httpAccept=text\/plain","content-type":"text\/plain","content-version":"vor","intended-application":"text-mining"}],"deposited":{"date-parts":[[2026,3,18]],"date-time":"2026-03-18T07:27:13Z","timestamp":1773818833000},"score":1,"resource":{"primary":{"URL":"https:\/\/linkinghub.elsevier.com\/retrieve\/pii\/S1568494625015236"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2026,1]]},"references-count":57,"alternative-id":["S1568494625015236"],"URL":"https:\/\/doi.org\/10.1016\/j.asoc.2025.114210","relation":{},"ISSN":["1568-4946"],"issn-type":[{"value":"1568-4946","type":"print"}],"subject":[],"published":{"date-parts":[[2026,1]]},"assertion":[{"value":"Elsevier","name":"publisher","label":"This article is maintained by"},{"value":"Unsupervised learning for 2-additive capacity identification based on rank correlation","name":"articletitle","label":"Article Title"},{"value":"Applied Soft Computing","name":"journaltitle","label":"Journal Title"},{"value":"https:\/\/doi.org\/10.1016\/j.asoc.2025.114210","name":"articlelink","label":"CrossRef DOI link to publisher maintained version"},{"value":"article","name":"content_type","label":"Content Type"},{"value":"\u00a9 2025 Elsevier B.V. All rights are reserved, including those for text and data mining, AI training, and similar technologies.","name":"copyright","label":"Copyright"}],"article-number":"114210"}}