{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,10,11]],"date-time":"2025-10-11T08:29:03Z","timestamp":1760171343774,"version":"3.40.3"},"publisher-location":"Cham","reference-count":31,"publisher":"Springer International Publishing","isbn-type":[{"type":"print","value":"9783030867713"},{"type":"electronic","value":"9783030867720"}],"license":[{"start":{"date-parts":[[2021,1,1]],"date-time":"2021-01-01T00:00:00Z","timestamp":1609459200000},"content-version":"tdm","delay-in-days":0,"URL":"https:\/\/www.springer.com\/tdm"},{"start":{"date-parts":[[2021,1,1]],"date-time":"2021-01-01T00:00:00Z","timestamp":1609459200000},"content-version":"vor","delay-in-days":0,"URL":"https:\/\/www.springer.com\/tdm"}],"content-domain":{"domain":["link.springer.com"],"crossmark-restriction":false},"short-container-title":[],"published-print":{"date-parts":[[2021]]},"DOI":"10.1007\/978-3-030-86772-0_34","type":"book-chapter","created":{"date-parts":[[2021,9,21]],"date-time":"2021-09-21T11:05:54Z","timestamp":1632222354000},"page":"471-485","update-policy":"https:\/\/doi.org\/10.1007\/springer_crossmark_policy","source":"Crossref","is-referenced-by-count":0,"title":["Explanation with the Winter Value: Efficient Computation for Hierarchical Choquet Integrals"],"prefix":"10.1007","author":[{"ORCID":"https:\/\/orcid.org\/0000-0002-8871-4379","authenticated-orcid":false,"given":"Christophe","family":"Labreuche","sequence":"first","affiliation":[]}],"member":"297","published-online":{"date-parts":[[2021,9,19]]},"reference":[{"key":"34_CR1","doi-asserted-by":"crossref","unstructured":"Arrieta, A.B., et al.: Explainable artificial intelligence (XAI): concepts, taxonomies, opportunities and challenges toward responsible AI. Inf. Fusion 58, 82\u2013115 (2020)","DOI":"10.1016\/j.inffus.2019.12.012"},{"key":"34_CR2","doi-asserted-by":"crossref","unstructured":"Belahc\u00e8ne, K., Labreuche, C., Maudet, N., Mousseau, V., Ouerdane, W.: Comparing options with argument schemes powered by cancellation. In: Proceedings of the Twenty-Eight International Joint Conference on Artificial Intelligence (IJCAI 2019), Macao, China, pp. 1537\u20131543, August 2019","DOI":"10.24963\/ijcai.2019\/213"},{"key":"34_CR3","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: Proceedings of the Twenty-Eight International Joint Conference on Artificial Intelligence (IJCAI 2020), Yokohoma, Japan, pp. 1984\u20131991 (2020)","DOI":"10.24963\/ijcai.2020\/275"},{"key":"34_CR4","doi-asserted-by":"publisher","first-page":"925","DOI":"10.1016\/j.artint.2006.05.003","volume":"170","author":"G Carenini","year":"2006","unstructured":"Carenini, G., Moore, J.D.: Generating and evaluating evaluative arguments. Artif. Intell. 170, 925\u2013952 (2006)","journal-title":"Artif. Intell."},{"key":"34_CR5","doi-asserted-by":"publisher","first-page":"1726","DOI":"10.1016\/j.cor.2008.04.004","volume":"36","author":"J Castro","year":"2009","unstructured":"Castro, J., G\u00f3mez, D., Tejada, J.: Polynomial calculation of the Shapley value based on sampling. Comput. Oper. Res. 36, 1726\u20131730 (2009)","journal-title":"Comput. Oper. Res."},{"key":"34_CR6","unstructured":"Chen, J., Song, L., Wainwright, M., Jordan, M.: L-Shapley and C-Shapley: efficient model interpretation for structured data. arXiv preprint arXiv:1808.02610 (2018)"},{"key":"34_CR7","doi-asserted-by":"publisher","first-page":"131","DOI":"10.5802\/aif.53","volume":"5","author":"G Choquet","year":"1953","unstructured":"Choquet, G.: Theory of capacities. Annales de l\u2019Institut Fourier 5, 131\u2013295 (1953)","journal-title":"Annales de l\u2019Institut Fourier"},{"key":"34_CR8","doi-asserted-by":"crossref","unstructured":"Datta, A., Sen, S., Zick, Y.: Algorithmic transparency via quantitative input influence: theory and experiments with learning systems. In: IEEE Symposium on Security and Privacy, San Jose, CA, USA, May 2016","DOI":"10.1109\/SP.2016.42"},{"key":"34_CR9","unstructured":"Figueira, J., Greco, S., Ehrgott, M., (eds.) Multiple Criteria Decision Analysis: State of the Art Surveys, 2nd edition. Kluwer Acad. Publ. (2016)"},{"key":"34_CR10","unstructured":"Galand, L., Lesca, J., Perny, P.: Dominance rules for the Choquet integral in multiobjective dynamic programming. In: 23rd International Joint Conference on Artificial Intelligence (IJCAI 2013), Beijing, China, pp. 538\u2013544, August 2013"},{"key":"34_CR11","doi-asserted-by":"crossref","unstructured":"Grabisch, M., Kojadinovic, I., Meyer, P.: A review of capacity identification methods for Choquet integral based multi-attribute utility theory \u2013 applications of the Kappalab R package. Eur. J. Oper. Res. 186, 766\u2013785 (2008)","DOI":"10.1016\/j.ejor.2007.02.025"},{"key":"34_CR12","doi-asserted-by":"publisher","first-page":"247","DOI":"10.1007\/s10479-009-0655-8","volume":"175","author":"M Grabisch","year":"2010","unstructured":"Grabisch, M., Labreuche, C.: A decade of application of the Choquet and Sugeno integrals in multi-criteria decision aid. Ann. Oper. Res. 175, 247\u2013286 (2010)","journal-title":"Ann. Oper. Res."},{"issue":"6","key":"34_CR13","first-page":"1","volume":"51","author":"R Guidotti","year":"2018","unstructured":"Guidotti, R., Monreale, A., Ruggieri, S., Turini, F., Giannotti, F., Pedreschi, D.: A survey of methods for explaining black box models. ACM Comput. Surv. 51(6), 1\u201342 (2018)","journal-title":"ACM Comput. Surv."},{"key":"34_CR14","doi-asserted-by":"crossref","unstructured":"Herlocker, J.L., Konstan, J.A., Riedl, J.: Explaining collaborative filtering recommendations. In: CSCW, pp. 241\u2013250 (2000)","DOI":"10.1145\/358916.358995"},{"key":"34_CR15","unstructured":"Klein, D.A.: Decision Analytic Intelligent Systems: Automated Explanation and Knowledge Acquisition. Lawrence Erlbaum Associates (1994)"},{"key":"34_CR16","doi-asserted-by":"crossref","unstructured":"Labreuche, C., Fossier, S.: Explaining multi-criteria decision aiding models with an extended shapley value. In: Proceedings of the Twenty-Seventh International Joint Conference on Artificial Intelligence (IJCAI 2018), Stockholm, Sweden, pp. 331\u2013339, July 2018","DOI":"10.24963\/ijcai.2018\/46"},{"key":"34_CR17","doi-asserted-by":"publisher","first-page":"1410","DOI":"10.1016\/j.artint.2010.11.008","volume":"175","author":"C Labreuche","year":"2011","unstructured":"Labreuche, C.: A general framework for explaining the results of a multi-attribute preference model. Artif. Intell. 175, 1410\u20131448 (2011)","journal-title":"Artif. Intell."},{"key":"34_CR18","doi-asserted-by":"crossref","unstructured":"Labreuche, C.: Explaining hierarchical multi-linear models. In: Proceedings of the 13th International Conference on Scalable Uncertainty Management (SUM 2019), Compi\u00e8gne, France, December 2019","DOI":"10.1007\/978-3-030-35514-2_15"},{"key":"34_CR19","unstructured":"Lundberg, S., Lee, S.I.: A unified approach to interpreting model predictions. In: Guyon, I., et al. (eds.) 31st Conference on Neural Information Processing Systems (NIPS 2017), Long Beach, CA, USA, pp. 4768\u20134777 (2017)"},{"key":"34_CR20","unstructured":"Lundberg, S., Enrion, G., Lee, S.I.: Consistent individualized feature attribution for tree ensembles. arXiv preprint arXiv:1802.03888 (2018)"},{"key":"34_CR21","unstructured":"Maleki, S., Tran-Thanh, L., Hines, G., Rahwan, T., Rogers, A.: Bounding the estimation error of sampling-based Shapley value approximation. arXiv:1306.4265 (2013)"},{"key":"34_CR22","unstructured":"Merrick, L., Taly, A.: The explanation game: explaining machine learning models with cooperative game theory. arXiv preprint arXiv:1909.08128 (2018)"},{"key":"34_CR23","first-page":"297","volume":"43","author":"S Ovchinnikov","year":"2002","unstructured":"Ovchinnikov, S.: Max-min representation of piecewise linear functions. Contrib. Algebra Geom. 43, 297\u2013327 (2002)","journal-title":"Contrib. Algebra Geom."},{"key":"34_CR24","doi-asserted-by":"publisher","first-page":"245","DOI":"10.1137\/130936233","volume":"2","author":"AB Owen","year":"2014","unstructured":"Owen, A.B.: Sobol\u2019 indices and Shapley value. SIAM\/ASA J. Uncertain. Quant. 2, 245\u2013251 (2014)","journal-title":"SIAM\/ASA J. Uncertain. Quant."},{"key":"34_CR25","doi-asserted-by":"publisher","unstructured":"Owen, G.: Values of games with a priori unions. In: Moeschlin, O., Hein, R., (ed.), Essays in Mathematical Economics and Game Theory, pp. 76\u201388. Springer, Heidelberg (1977). https:\/\/doi.org\/10.1007\/978-3-642-45494-3_7","DOI":"10.1007\/978-3-642-45494-3_7"},{"key":"34_CR26","doi-asserted-by":"crossref","unstructured":"Ribeiro, M.T., Singh, S., Guestrin, C.: \u201cWhy Should I Trust You?\u201d: explaining the predictions of any classifier. In: KDD 2016 Proceedings of the 22nd ACM SIGKDD International Conference on Knowledge Discovery and Data Mining, San Francisco, California, USA, pp. 1135\u20131144 (2016)","DOI":"10.1145\/2939672.2939778"},{"key":"34_CR27","doi-asserted-by":"crossref","unstructured":"Saltelli, A., et al.: Global Sensitivity Analysis: The Primer. Wiley, New York (2008)","DOI":"10.1002\/9780470725184"},{"key":"34_CR28","unstructured":"Shapley, L.S.: A value for $$n$$-person games. In: Kuhn, H.W., Tucker, A.W. (eds.) Contributions to the Theory of Games, vol. II, number 28 in Annals of Mathematics Studies, pp. 307\u2013317. Princeton University Press (1953)"},{"key":"34_CR29","first-page":"1","volume":"11","author":"E \u0160trumbelj","year":"2010","unstructured":"\u0160trumbelj, E., Kononenko, I.: An efficient explanation of individual classifications using game theory. J. Mach. Learn. Res. 11, 1\u201318 (2010)","journal-title":"J. Mach. Learn. Res."},{"key":"34_CR30","doi-asserted-by":"publisher","first-page":"227","DOI":"10.1007\/BF01268161","volume":"18","author":"E Winter","year":"1989","unstructured":"Winter, E.: A value for cooperative games with levels structure of cooperation. Int. J. Game Theory 18, 227\u2013240 (1989)","journal-title":"Int. J. Game Theory"},{"key":"34_CR31","unstructured":"Zhong, Q., Fan, X., Toni, F., Luo, X.: Explaining best decisions via argumentation. In: Proceedings of the European Conference on Social Intelligence (ECSI-2014), Barcelona, Spain, pp. 224\u2013237, November 2014"}],"container-title":["Lecture Notes in Computer Science","Symbolic and Quantitative Approaches to Reasoning with Uncertainty"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/link.springer.com\/content\/pdf\/10.1007\/978-3-030-86772-0_34","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2021,11,1]],"date-time":"2021-11-01T10:09:52Z","timestamp":1635761392000},"score":1,"resource":{"primary":{"URL":"https:\/\/link.springer.com\/10.1007\/978-3-030-86772-0_34"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2021]]},"ISBN":["9783030867713","9783030867720"],"references-count":31,"URL":"https:\/\/doi.org\/10.1007\/978-3-030-86772-0_34","relation":{},"ISSN":["0302-9743","1611-3349"],"issn-type":[{"type":"print","value":"0302-9743"},{"type":"electronic","value":"1611-3349"}],"subject":[],"published":{"date-parts":[[2021]]},"assertion":[{"value":"19 September 2021","order":1,"name":"first_online","label":"First Online","group":{"name":"ChapterHistory","label":"Chapter History"}},{"value":"ECSQARU","order":1,"name":"conference_acronym","label":"Conference Acronym","group":{"name":"ConferenceInfo","label":"Conference Information"}},{"value":"European Conference on Symbolic and Quantitative Approaches with Uncertainty","order":2,"name":"conference_name","label":"Conference Name","group":{"name":"ConferenceInfo","label":"Conference Information"}},{"value":"Prague","order":3,"name":"conference_city","label":"Conference City","group":{"name":"ConferenceInfo","label":"Conference Information"}},{"value":"Czech Republic","order":4,"name":"conference_country","label":"Conference Country","group":{"name":"ConferenceInfo","label":"Conference Information"}},{"value":"2021","order":5,"name":"conference_year","label":"Conference Year","group":{"name":"ConferenceInfo","label":"Conference Information"}},{"value":"21 September 2021","order":7,"name":"conference_start_date","label":"Conference Start Date","group":{"name":"ConferenceInfo","label":"Conference Information"}},{"value":"24 September 2021","order":8,"name":"conference_end_date","label":"Conference End Date","group":{"name":"ConferenceInfo","label":"Conference Information"}},{"value":"16","order":9,"name":"conference_number","label":"Conference Number","group":{"name":"ConferenceInfo","label":"Conference Information"}},{"value":"ecsqaru2021","order":10,"name":"conference_id","label":"Conference ID","group":{"name":"ConferenceInfo","label":"Conference Information"}},{"value":"http:\/\/ecsqaru.utia.cas.cz\/","order":11,"name":"conference_url","label":"Conference URL","group":{"name":"ConferenceInfo","label":"Conference Information"}},{"value":"Single-blind","order":1,"name":"type","label":"Type","group":{"name":"ConfEventPeerReviewInformation","label":"Peer Review Information (provided by the conference organizers)"}},{"value":"EasyChair","order":2,"name":"conference_management_system","label":"Conference Management System","group":{"name":"ConfEventPeerReviewInformation","label":"Peer Review Information (provided by the conference organizers)"}},{"value":"63","order":3,"name":"number_of_submissions_sent_for_review","label":"Number of Submissions Sent for Review","group":{"name":"ConfEventPeerReviewInformation","label":"Peer Review Information (provided by the conference organizers)"}},{"value":"48","order":4,"name":"number_of_full_papers_accepted","label":"Number of Full Papers Accepted","group":{"name":"ConfEventPeerReviewInformation","label":"Peer Review Information (provided by the conference organizers)"}},{"value":"0","order":5,"name":"number_of_short_papers_accepted","label":"Number of Short Papers Accepted","group":{"name":"ConfEventPeerReviewInformation","label":"Peer Review Information (provided by the conference organizers)"}},{"value":"76% - The value is computed by the equation \"Number of Full Papers Accepted \/ Number of Submissions Sent for Review * 100\" and then rounded to a whole number.","order":6,"name":"acceptance_rate_of_full_papers","label":"Acceptance Rate of Full Papers","group":{"name":"ConfEventPeerReviewInformation","label":"Peer Review Information (provided by the conference organizers)"}},{"value":"3.95","order":7,"name":"average_number_of_reviews_per_paper","label":"Average Number of Reviews per Paper","group":{"name":"ConfEventPeerReviewInformation","label":"Peer Review Information (provided by the conference organizers)"}},{"value":"3.25","order":8,"name":"average_number_of_papers_per_reviewer","label":"Average Number of Papers per Reviewer","group":{"name":"ConfEventPeerReviewInformation","label":"Peer Review Information (provided by the conference organizers)"}},{"value":"Yes","order":9,"name":"external_reviewers_involved","label":"External Reviewers Involved","group":{"name":"ConfEventPeerReviewInformation","label":"Peer Review Information (provided by the conference organizers)"}}]}}