{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,4,11]],"date-time":"2026-04-11T18:11:30Z","timestamp":1775931090615,"version":"3.50.1"},"reference-count":50,"publisher":"Springer Science and Business Media LLC","issue":"6","license":[{"start":{"date-parts":[[2024,2,7]],"date-time":"2024-02-07T00:00:00Z","timestamp":1707264000000},"content-version":"tdm","delay-in-days":0,"URL":"https:\/\/www.springernature.com\/gp\/researchers\/text-and-data-mining"},{"start":{"date-parts":[[2024,2,7]],"date-time":"2024-02-07T00:00:00Z","timestamp":1707264000000},"content-version":"vor","delay-in-days":0,"URL":"https:\/\/www.springernature.com\/gp\/researchers\/text-and-data-mining"}],"content-domain":{"domain":["link.springer.com"],"crossmark-restriction":false},"short-container-title":["Ann Math Artif Intell"],"published-print":{"date-parts":[[2024,12]]},"DOI":"10.1007\/s10472-024-09930-0","type":"journal-article","created":{"date-parts":[[2024,2,7]],"date-time":"2024-02-07T06:02:20Z","timestamp":1707285740000},"page":"1511-1544","update-policy":"https:\/\/doi.org\/10.1007\/springer_crossmark_policy","source":"Crossref","is-referenced-by-count":4,"title":["Learning preference representations based on Choquet integrals for multicriteria decision making"],"prefix":"10.1007","volume":"92","author":[{"ORCID":"https:\/\/orcid.org\/0000-0001-8828-237X","authenticated-orcid":false,"given":"Margot","family":"Herin","sequence":"first","affiliation":[]},{"given":"Patrice","family":"Perny","sequence":"additional","affiliation":[]},{"given":"Nataliya","family":"Sokolovska","sequence":"additional","affiliation":[]}],"member":"297","published-online":{"date-parts":[[2024,2,7]]},"reference":[{"key":"9930_CR1","doi-asserted-by":"crossref","DOI":"10.1007\/978-1-4757-2500-1","volume-title":"Multicriteria Methodology for Decision Aiding","author":"B Roy","year":"1996","unstructured":"Roy, B.: Multicriteria Methodology for Decision Aiding, vol. 12. Springer Science & Business Media (1996)"},{"key":"9930_CR2","doi-asserted-by":"publisher","DOI":"10.1017\/CBO9781139644150","volume-title":"Aggregation Functions","author":"M Grabisch","year":"2009","unstructured":"Grabisch, M., Marichal, J.-L., Mesiar, R., Pap, E.: Aggregation Functions, vol. 127. Cambridge University Press (2009)"},{"issue":"3","key":"9930_CR3","doi-asserted-by":"publisher","first-page":"445","DOI":"10.1016\/0377-2217(95)00176-X","volume":"89","author":"M Grabisch","year":"1996","unstructured":"Grabisch, M.: The application of fuzzy integrals in multicriteria decision making. European Journal of Operational Research 89(3), 445\u2013456 (1996)","journal-title":"European Journal of Operational Research"},{"issue":"4","key":"9930_CR4","doi-asserted-by":"publisher","first-page":"810","DOI":"10.1109\/TFUZZ.2019.2895565","volume":"27","author":"M Gagolewski","year":"2019","unstructured":"Gagolewski, M., James, S., Beliakov, G.: Supervised learning to aggregate data with the Sugeno integral. IEEE Transactions on Fuzzy Systems 27(4), 810\u2013815 (2019)","journal-title":"IEEE Transactions on Fuzzy Systems"},{"key":"9930_CR5","doi-asserted-by":"publisher","first-page":"105134","DOI":"10.1016\/j.knosys.2019.105134","volume":"189","author":"G Beliakov","year":"2020","unstructured":"Beliakov, G., Divakov, D.: On representation of fuzzy measures for learning Choquet and Sugeno integrals. Knowl. Based Syst. 189, 105134 (2020)","journal-title":"Knowl. Based Syst."},{"key":"9930_CR6","doi-asserted-by":"crossref","unstructured":"Tehrani, A.F., H\u00fcllermeier, E.: Ordinal Choquistic regression. In: 8th Conference of the European Society for Fuzzy Logic and Technology (EUSFLAT-13), pp. 842\u2013849 (2013)","DOI":"10.2991\/eusflat.2013.119"},{"issue":"6","key":"9930_CR7","doi-asserted-by":"publisher","first-page":"1102","DOI":"10.1109\/TFUZZ.2012.2196050","volume":"20","author":"AF Tehrani","year":"2012","unstructured":"Tehrani, A.F., Cheng, W., H\u00fcllermeier, E.: Preference learning using the Choquet integral: the case of multipartite ranking. IEEE Transactions on Fuzzy Systems 20(6), 1102\u20131113 (2012)","journal-title":"IEEE Transactions on Fuzzy Systems"},{"issue":"3","key":"9930_CR8","doi-asserted-by":"publisher","first-page":"571","DOI":"10.2307\/1911053","volume":"57","author":"D Schmeidler","year":"1989","unstructured":"Schmeidler, D.: Subjective probability and expected utility without additivity. Econometrica 57(3), 571\u2013587 (1989)","journal-title":"Econometrica"},{"key":"9930_CR9","doi-asserted-by":"crossref","unstructured":"Grabisch, M., Labreuche, C.: A decade of application of the Choquet and Sugeno integrals in multicriteria decision aid. Annals of Operations Research 175(1), 247\u2013286 (2010)","DOI":"10.1007\/s10479-009-0655-8"},{"issue":"3","key":"9930_CR10","doi-asserted-by":"publisher","first-page":"931","DOI":"10.1016\/j.ejor.2004.11.008","volume":"172","author":"C Labreuche","year":"2006","unstructured":"Labreuche, C., Grabisch, M.: Generalized Choquet-like aggregation functions for handling bipolar scales. European Journal of Operational Research 172(3), 931\u2013955 (2006)","journal-title":"European Journal of Operational Research"},{"issue":"2","key":"9930_CR11","doi-asserted-by":"publisher","first-page":"263","DOI":"10.2307\/1914185","volume":"47","author":"A Tversky","year":"1979","unstructured":"Tversky, A., Kahneman, D.: An analysis of decision under risk. Econometrica 47(2), 263\u2013292 (1979)","journal-title":"Econometrica"},{"key":"9930_CR12","unstructured":"Martin, H., Perny, P.: New computational models for the Choquet integral. In: ECAI 2020, pp. 147\u2013154 (2020)"},{"issue":"1","key":"9930_CR13","doi-asserted-by":"publisher","first-page":"183","DOI":"10.1109\/21.87068","volume":"18","author":"RR Yager","year":"1988","unstructured":"Yager, R.R.: On ordered weighted averaging aggregation operators in multicriteria decisionmaking. IEEE Trans. Syst. Man Cybern. Syst. 18(1), 183\u2013190 (1988)","journal-title":"IEEE Trans. Syst. Man Cybern. Syst."},{"issue":"2","key":"9930_CR14","doi-asserted-by":"publisher","first-page":"153","DOI":"10.1002\/(SICI)1098-111X(199702)12:2<153::AID-INT3>3.0.CO;2-P","volume":"12","author":"V Torra","year":"1997","unstructured":"Torra, V.: The weighted OWA operator. International Journal of Intelligent Systems 12(2), 153\u2013166 (1997)","journal-title":"International Journal of Intelligent Systems"},{"key":"9930_CR15","doi-asserted-by":"crossref","unstructured":"Bana\u00a0e Costa, C.A., Vansnick, J.-C.: A theoretical framework for measuring attractiveness by a categorical based evaluation technique (MACBETH). In: Multicriteria Analysis: Proceedings of the XIth International Conference on MCDM, pp. 15\u201324 (1997)","DOI":"10.1007\/978-3-642-60667-0_3"},{"issue":"8","key":"9930_CR16","doi-asserted-by":"publisher","first-page":"1131","DOI":"10.1287\/mnsc.42.8.1131","volume":"42","author":"P Wakker","year":"1996","unstructured":"Wakker, P., Deneffe, D.: Eliciting von Neumann-Morgenstern utilities when probabilities are distorted or unknown. Manag. Sci. 42(8), 1131\u20131150 (1996)","journal-title":"Manag. Sci."},{"issue":"11","key":"9930_CR17","doi-asserted-by":"publisher","first-page":"1497","DOI":"10.1287\/mnsc.46.11.1497.12080","volume":"46","author":"M Abdellaoui","year":"2000","unstructured":"Abdellaoui, M.: Parameter-free elicitation of utility and probability weighting functions. Manag. Sci. 46(11), 1497\u20131512 (2000)","journal-title":"Manag. Sci."},{"key":"9930_CR18","unstructured":"Herin, M., Perny, P., Sokolovska, N.: Learning sparse representations of preferences within choquet expected utility theory. In: Uncertainty in Artificial Intelligence, pp. 800\u2013810 (2022). PMLR"},{"issue":"2","key":"9930_CR19","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.: 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 (2008)","journal-title":"Eur. J. Oper. Res."},{"key":"9930_CR20","unstructured":"Tehrani, A.F., Labreuche, C., H\u00fcllermeier, E.: Choquistic utilitaristic regression. In: DA2PL, pp. 35\u201342 (2014)"},{"key":"9930_CR21","doi-asserted-by":"crossref","unstructured":"Galand, L., Mayag, B.: A heuristic approach to test the compatibility of a preference information with a Choquet integral model. In: ADT, pp. 65\u201380 (2017)","DOI":"10.1007\/978-3-319-67504-6_5"},{"key":"9930_CR22","doi-asserted-by":"crossref","unstructured":"Bresson, R., Cohen, J., H\u00fcllermeier, E., Labreuche, C., Sebag, M.: Neural representation and learning of hierarchical 2-additive Choquet integrals. In: IJCAI, pp. 1984\u20131991 (2020)","DOI":"10.24963\/ijcai.2020\/275"},{"key":"9930_CR23","doi-asserted-by":"publisher","first-page":"152","DOI":"10.1016\/j.artint.2017.02.001","volume":"246","author":"N Benabbou","year":"2017","unstructured":"Benabbou, N., Perny, P., Viappiani, P.: Incremental elicitation of Choquet capacities for multicriteria choice, ranking and sorting problems. Artif. Intell. 246, 152\u2013180 (2017)","journal-title":"Artif. Intell."},{"key":"9930_CR24","doi-asserted-by":"crossref","unstructured":"Bourdache, N., Perny, P., Spanjaard, O.: Incremental elicitation of rank-dependent aggregation functions based on Bayesian linear regression. In: IJCAI-19-Twenty-Eighth International Joint Conference on Artificial Intelligence, pp. 2023\u20132029 (2019)","DOI":"10.24963\/ijcai.2019\/280"},{"issue":"3","key":"9930_CR25","doi-asserted-by":"publisher","first-page":"263","DOI":"10.1016\/0165-4896(89)90056-5","volume":"17","author":"A Chateauneuf","year":"1989","unstructured":"Chateauneuf, A., Jaffray, J.-Y.: Some characterizations of lower probabilities and other monotone capacities through the use of M\u00f6bius inversion. Math. Soc. Sci. 17(3), 263\u2013283 (1989)","journal-title":"Math. Soc. Sci."},{"issue":"2","key":"9930_CR26","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.: K-order additive discrete fuzzy measures and their representation. Fuzzy Sets Syst. 92(2), 167\u2013189 (1997)","journal-title":"Fuzzy Sets Syst."},{"issue":"2","key":"9930_CR27","doi-asserted-by":"publisher","first-page":"151","DOI":"10.1037\/h0030637","volume":"78","author":"DH Krantz","year":"1971","unstructured":"Krantz, D.H., Tversky, A.: Conjoint-measurement analysis of composition rules in psychology. Psychol. Rev. 78(2), 151 (1971)","journal-title":"Psychol. Rev."},{"issue":"2","key":"9930_CR28","doi-asserted-by":"publisher","first-page":"315","DOI":"10.1007\/s11238-005-4593-x","volume":"60","author":"P Blavatskyy","year":"2006","unstructured":"Blavatskyy, P.: Error propagation in the elicitation of utility and probability weighting functions. Theory Decis. 60(2), 315\u2013334 (2006)","journal-title":"Theory Decis."},{"key":"9930_CR29","doi-asserted-by":"crossref","unstructured":"Ramsay, J.O.: Monotone regression spline in action. Stat. Sci., 425\u2013441 (1988)","DOI":"10.1214\/ss\/1177012761"},{"issue":"1","key":"9930_CR30","doi-asserted-by":"publisher","first-page":"267","DOI":"10.1111\/j.2517-6161.1996.tb02080.x","volume":"58","author":"R Tibshirani","year":"1996","unstructured":"Tibshirani, R.: Regression shrinkage and selection via the lasso. J. R. Stat. Soc. Series B. Stat. Methodol. (Methodological) 58(1), 267\u201388 (1996)","journal-title":"J. R. Stat. Soc. Series B. Stat. Methodol. (Methodological)"},{"key":"9930_CR31","doi-asserted-by":"crossref","unstructured":"Hastie, T., Tibshirani, R., Wainwright, M.: Statistical learning with sparsity. Monogr. Stat. Appl. Probab. 143 (2015)","DOI":"10.1201\/b18401"},{"key":"9930_CR32","doi-asserted-by":"crossref","unstructured":"Anderson, D.T., Price, S.R., Havens, T.C.: Regularization-based learning of the Choquet integral. In: FUZZ-IEEE, pp. 2519\u20132526 (2014)","DOI":"10.1109\/FUZZ-IEEE.2014.6891630"},{"key":"9930_CR33","doi-asserted-by":"crossref","unstructured":"Adeyeba, T.A., Anderson, D.T., Havens, T.C.: Insights and characterization of l1-norm based sparsity learning of a lexicographically encoded capacity vector for the Choquet integral. In: FUZZ-IEEE, pp. 1\u20137 (2015)","DOI":"10.1109\/FUZZ-IEEE.2015.7337819"},{"key":"9930_CR34","doi-asserted-by":"crossref","unstructured":"de Oliveira, H.E., Duarte, L.T., Romano, J.M.T.: Identification of the Choquet integral parameters in the interaction index domain by means of sparse modeling. Expert Syst. Appl. 187 (2022)","DOI":"10.1016\/j.eswa.2021.115874"},{"key":"9930_CR35","first-page":"1950","volume":"335","author":"L Hurwicz","year":"1951","unstructured":"Hurwicz, L.: The generalized Bayes minimax principle: a criterion for decision making under uncertainty. Cowles Comm. Discuss. Paper Stat. 335, 1950 (1951)","journal-title":"Cowles Comm. Discuss. Paper Stat."},{"issue":"3","key":"9930_CR36","doi-asserted-by":"publisher","first-page":"347","DOI":"10.1198\/073500106000000251","volume":"25","author":"H Wang","year":"2007","unstructured":"Wang, H., Li, G., Jiang, G.: Robust regression shrinkage and consistent variable selection through the LAD-lasso. J. Bus. Econ. Stat. 25(3), 347\u2013355 (2007)","journal-title":"J. Bus. Econ. Stat."},{"key":"9930_CR37","unstructured":"Gao, X., Huang, J.: Asymptotic analysis of high-dimensional LAD regression with lasso. Stat. Sin., 1485\u20131506 (2010)"},{"key":"9930_CR38","first-page":"2541","volume":"7","author":"P Zhao","year":"2006","unstructured":"Zhao, P., Yu, B.: On model selection consistency of lasso. J. Mach. Learn. Res. 7, 2541\u20132563 (2006)","journal-title":"J. Mach. Learn. Res."},{"issue":"476","key":"9930_CR39","doi-asserted-by":"publisher","first-page":"1418","DOI":"10.1198\/016214506000000735","volume":"101","author":"H Zou","year":"2006","unstructured":"Zou, H.: The adaptive lasso and its oracle properties. J. Am. Stat. Assoc. 101(476), 1418\u20131429 (2006)","journal-title":"J. Am. Stat. Assoc."},{"key":"9930_CR40","doi-asserted-by":"crossref","unstructured":"van\u00a0de Geer, S.: $$\\ell $$1-regularization in high-dimensional statistical models. In: Proceedings of the International Congress of Mathematicians 2010 (ICM 2010), pp. 2351\u20132369 (2010)","DOI":"10.1142\/9789814324359_0149"},{"key":"9930_CR41","doi-asserted-by":"crossref","unstructured":"Wu, X., Liang, R., Yang, H.: Penalized and constrained LAD estimation in fixed and high dimension. Stat. Papers, 1\u201343 (2022)","DOI":"10.1007\/s00362-021-01229-0"},{"issue":"9","key":"9930_CR42","doi-asserted-by":"publisher","first-page":"4642","DOI":"10.1080\/03610926.2015.1019138","volume":"46","author":"Q Zheng","year":"2017","unstructured":"Zheng, Q., Gallagher, C., Kulasekera, K.: Robust adaptive lasso for variable selection. Commun. Stat. Theory Methods 46(9), 4642\u20134659 (2017)","journal-title":"Commun. Stat. Theory Methods"},{"key":"9930_CR43","doi-asserted-by":"publisher","first-page":"487","DOI":"10.1007\/s10463-008-0184-2","volume":"62","author":"J Xu","year":"2010","unstructured":"Xu, J., Ying, Z.: Simultaneous estimation and variable selection in median regression using lasso-type penalty. Ann. Inst. Stat. Math. 62, 487\u2013514 (2010)","journal-title":"Ann. Inst. Stat. Math."},{"issue":"2","key":"9930_CR44","doi-asserted-by":"publisher","first-page":"301","DOI":"10.1111\/j.1467-9868.2005.00503.x","volume":"67","author":"H Zou","year":"2005","unstructured":"Zou, H., Hastie, T.: Regularization and variable selection via the elastic net. J. R. Stat. Soc., B: Stat. (methodological) 67(2), 301\u2013320 (2005)","journal-title":"J. R. Stat. Soc., B: Stat. (methodological)"},{"key":"9930_CR45","unstructured":"Bresson, R.: Neural learning and validation of hierarchical multi-criteria decision aiding models with interacting criteria. PhD thesis, Universit\u00e9 Paris-Saclay (2022)"},{"key":"9930_CR46","doi-asserted-by":"crossref","unstructured":"Herin, M., Perny, P., Sokolovska, N.: Learning preference models with sparse interactions of criteria. In: Proceedings of the Thirty-Second International Joint Conference on Artificial Intelligence, IJCAI-23, pp. 3786\u20133794 (2023)","DOI":"10.24963\/ijcai.2023\/421"},{"key":"9930_CR47","doi-asserted-by":"crossref","unstructured":"Keeney, R.L., Raiffa, H., Meyer, R.F.: Decisions with Multiple Objectives: Preferences and Value Trade-offs, Cambridge University Press (1993)","DOI":"10.1017\/CBO9781139174084"},{"issue":"3","key":"9930_CR48","doi-asserted-by":"publisher","first-page":"335","DOI":"10.2307\/2525541","volume":"8","author":"PC Fishburn","year":"1967","unstructured":"Fishburn, P.C.: Interdependence and additivity in multivariate, unidimensional expected utility theory. Int. Econ. Rev. 8(3), 335\u2013342 (1967)","journal-title":"Int. Econ. Rev."},{"key":"9930_CR49","first-page":"224","volume":"4","author":"C Gonzales","year":"2004","unstructured":"Gonzales, C., Perny, P.: GAI networks for utility elicitation. KR 4, 224\u2013234 (2004)","journal-title":"KR"},{"key":"9930_CR50","unstructured":"Braziunas, D., Boutilier, C.: Local utility elicitation in GAI models. In: Proceedings of UAI, pp. 42\u201349 (2005)"}],"container-title":["Annals of Mathematics and Artificial Intelligence"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/link.springer.com\/content\/pdf\/10.1007\/s10472-024-09930-0.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/link.springer.com\/article\/10.1007\/s10472-024-09930-0\/fulltext.html","content-type":"text\/html","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/link.springer.com\/content\/pdf\/10.1007\/s10472-024-09930-0.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2024,12,23]],"date-time":"2024-12-23T02:04:14Z","timestamp":1734919454000},"score":1,"resource":{"primary":{"URL":"https:\/\/link.springer.com\/10.1007\/s10472-024-09930-0"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2024,2,7]]},"references-count":50,"journal-issue":{"issue":"6","published-print":{"date-parts":[[2024,12]]}},"alternative-id":["9930"],"URL":"https:\/\/doi.org\/10.1007\/s10472-024-09930-0","relation":{},"ISSN":["1012-2443","1573-7470"],"issn-type":[{"value":"1012-2443","type":"print"},{"value":"1573-7470","type":"electronic"}],"subject":[],"published":{"date-parts":[[2024,2,7]]},"assertion":[{"value":"24 January 2024","order":1,"name":"accepted","label":"Accepted","group":{"name":"ArticleHistory","label":"Article History"}},{"value":"7 February 2024","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":"Conflicts of interest"}}]}}