{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,3,26]],"date-time":"2025-03-26T15:21:14Z","timestamp":1743002474296,"version":"3.40.3"},"publisher-location":"Cham","reference-count":25,"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_31","type":"book-chapter","created":{"date-parts":[[2021,9,21]],"date-time":"2021-09-21T11:05:54Z","timestamp":1632222354000},"page":"427-441","update-policy":"https:\/\/doi.org\/10.1007\/springer_crossmark_policy","source":"Crossref","is-referenced-by-count":2,"title":["Centroids of Credal Sets: A Comparative Study"],"prefix":"10.1007","author":[{"ORCID":"https:\/\/orcid.org\/0000-0001-7763-3779","authenticated-orcid":false,"given":"Enrique","family":"Miranda","sequence":"first","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"ORCID":"https:\/\/orcid.org\/0000-0001-6534-1613","authenticated-orcid":false,"given":"Ignacio","family":"Montes","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"297","published-online":{"date-parts":[[2021,9,19]]},"reference":[{"key":"31_CR1","doi-asserted-by":"publisher","first-page":"143","DOI":"10.1007\/s00222-011-0363-2","volume":"189","author":"U Bader","year":"2012","unstructured":"Bader, U., Gelander, T., Monod, N.: A fixed point theorem for $$L^1$$ spaces. Invent. Math. 189, 143\u2013148 (2012)","journal-title":"Invent. Math."},{"key":"31_CR2","doi-asserted-by":"publisher","first-page":"147","DOI":"10.1016\/j.ijar.2005.03.001","volume":"40","author":"P Baroni","year":"2005","unstructured":"Baroni, P., Vicig, P.: An uncertainty interchange format with imprecise probabilities. Int. J. Approximate Reasoning 40, 147\u2013180 (2005)","journal-title":"Int. J. Approximate Reasoning"},{"key":"31_CR3","doi-asserted-by":"publisher","first-page":"1","DOI":"10.1016\/j.ijar.2019.08.001","volume":"114","author":"C Corsato","year":"2019","unstructured":"Corsato, C., Pelessoni, R., Vicig, P.: Nearly-Linear uncertainty measures. Int. J. Approximate Reasoning 114, 1\u201328 (2019)","journal-title":"Int. J. Approximate Reasoning"},{"key":"31_CR4","doi-asserted-by":"publisher","first-page":"167","DOI":"10.1142\/S0218488594000146","volume":"2","author":"LM de Campos","year":"1994","unstructured":"de Campos, L.M., Huete, J.F., Moral, S.: Probability intervals: a tool for uncertain reasoning. Internat. J. Uncertain. Fuzziness Knowl.-Based Syst. 2, 167\u2013196 (1994)","journal-title":"Internat. J. Uncertain. Fuzziness Knowl.-Based Syst."},{"key":"31_CR5","doi-asserted-by":"publisher","first-page":"143","DOI":"10.1016\/j.jmaa.2008.05.071","volume":"347","author":"G de Cooman","year":"2008","unstructured":"de Cooman, G., Troffaes, M.C.M., Miranda, E.: $$n$$-Monotone exact functionals. J. Math. Anal. Appl. 347, 143\u2013156 (2008)","journal-title":"J. Math. Anal. Appl."},{"key":"31_CR6","unstructured":"Destercke, S., Montes, I., Miranda, E.: Processing multiple distortion models: a comparative study. In: Proceedings of the 12th ISIPTA Conference. PMLR 147, 126\u2013135 (2021)"},{"key":"31_CR7","unstructured":"Dubois, D., Prade, H.: Fuzzy Sets and Systems. Theory and Applications. Academic Press, New York (1980)"},{"key":"31_CR8","doi-asserted-by":"publisher","first-page":"56","DOI":"10.1016\/j.tcs.2011.11.017","volume":"421","author":"K Elbassioni","year":"2012","unstructured":"Elbassioni, K., Tiway, H.R.: Complexity of approximating the vertex centroid of a polyhedron. Theoret. Comput. Sci. 421, 56\u201361 (2012)","journal-title":"Theoret. Comput. Sci."},{"key":"31_CR9","doi-asserted-by":"publisher","unstructured":"Grabisch, M.: Set Functions, Games and Capacities in Decision Making. Springer (2016). https:\/\/doi.org\/10.1007\/978-3-319-30690-2","DOI":"10.1007\/978-3-319-30690-2"},{"key":"31_CR10","doi-asserted-by":"publisher","first-page":"291","DOI":"10.1080\/03081079208945083","volume":"21","author":"GJ Klir","year":"1992","unstructured":"Klir, G.J., Parviz, B.: Probability-possibility transformations: a comparison. Int. J. Gen. Syst. 21, 291\u2013310 (1992)","journal-title":"Int. J. Gen. Syst."},{"key":"31_CR11","doi-asserted-by":"crossref","unstructured":"Levin, D.A., Peres, Y., Wilmer, E.L.: Markov Chains and Mixing Times. American Mathematical Society (2009)","DOI":"10.1090\/mbk\/058"},{"issue":"6","key":"31_CR12","doi-asserted-by":"publisher","first-page":"917","DOI":"10.1142\/S0218488518500411","volume":"26","author":"E Miranda","year":"2018","unstructured":"Miranda, E., Montes, I.: Shapley and Banzhaf values as probability transformations. Internat. J. Uncertain. Fuzziness Knowl.-Based Syst. 26(6), 917\u2013947 (2018)","journal-title":"Internat. J. Uncertain. Fuzziness Knowl.-Based Syst."},{"key":"31_CR13","doi-asserted-by":"publisher","first-page":"550","DOI":"10.1016\/j.ins.2019.01.005","volume":"481","author":"I Montes","year":"2019","unstructured":"Montes, I., Miranda, E., Destercke, S.: Pari-mutuel probabilities as an uncertainty model. Inf. Sci. 481, 550\u2013573 (2019)","journal-title":"Inf. Sci."},{"issue":"6","key":"31_CR14","doi-asserted-by":"publisher","first-page":"602","DOI":"10.1080\/03081079.2020.1778682","volume":"49","author":"I Montes","year":"2020","unstructured":"Montes, I., Miranda, E., Destercke, S.: Unifying neighbourhood and distortion models: part I- New results on old models. Int. J. Gen. Syst. 49(6), 602\u2013635 (2020)","journal-title":"Int. J. Gen. Syst."},{"issue":"6","key":"31_CR15","doi-asserted-by":"publisher","first-page":"636","DOI":"10.1080\/03081079.2020.1778683","volume":"49","author":"I Montes","year":"2020","unstructured":"Montes, I., Miranda, E., Destercke, S.: Unifying neighbourhood and distortion models: part II- New models and synthesis. Int. J. Gen. Syst. 49(6), 636\u2013674 (2020)","journal-title":"Int. J. Gen. Syst."},{"key":"31_CR16","doi-asserted-by":"publisher","first-page":"181","DOI":"10.1016\/j.ijar.2018.07.004","volume":"101","author":"I Montes","year":"2018","unstructured":"Montes, I., Miranda, E., Vicig, P.: 2-monotone outer approximations of coherent lower probabilities. Int. J. Approximate Reasoning 101, 181\u2013205 (2018)","journal-title":"Int. J. Approximate Reasoning"},{"key":"31_CR17","doi-asserted-by":"publisher","first-page":"1145","DOI":"10.1016\/j.ijar.2010.08.005","volume":"51","author":"R Pelessoni","year":"2010","unstructured":"Pelessoni, R., Vicig, P., Zaffalon, M.: Inference and risk measurement with the Pari-mutuel model. Int. J. Approximate Reasoning 51, 1145\u20131158 (2010)","journal-title":"Int. J. Approximate Reasoning"},{"key":"31_CR18","first-page":"307","volume":"28","author":"LS Shapley","year":"1953","unstructured":"Shapley, L.S.: A value for n-person games. Ann. Math. Stud. 28, 307\u2013317 (1953)","journal-title":"Ann. Math. Stud."},{"key":"31_CR19","doi-asserted-by":"publisher","first-page":"11","DOI":"10.1007\/BF01753431","volume":"1","author":"LS Shapley","year":"1971","unstructured":"Shapley, L.S.: Cores of convex games. Internat. J. Game Theory 1, 11\u201326 (1971)","journal-title":"Internat. J. Game Theory"},{"key":"31_CR20","doi-asserted-by":"publisher","first-page":"133","DOI":"10.1016\/j.ijar.2004.05.003","volume":"38","author":"P Smets","year":"2005","unstructured":"Smets, P.: Decision making in the TBM: the necessity of the Pignistic transformation. Int. J. Approximate Reasoning 38, 133\u2013147 (2005)","journal-title":"Int. J. Approximate Reasoning"},{"issue":"2","key":"31_CR21","doi-asserted-by":"publisher","first-page":"191","DOI":"10.1016\/0004-3702(94)90026-4","volume":"66","author":"P Smets","year":"1994","unstructured":"Smets, P., Kennes, R.: The transferable belief model. Artif. Intell. 66(2), 191\u2013234 (1994)","journal-title":"Artif. Intell."},{"key":"31_CR22","unstructured":"Walley, P.: Coherent lower (and upper) probabilities. Statistics Research Report 22, University of Warwick, Coventry (1981)"},{"key":"31_CR23","doi-asserted-by":"crossref","unstructured":"Walley, P.: Statistical Reasoning with Imprecise Probabilities. Chapman and Hall, London (1991)","DOI":"10.1007\/978-1-4899-3472-7"},{"key":"31_CR24","doi-asserted-by":"publisher","first-page":"337","DOI":"10.1080\/03081079708945189","volume":"26","author":"P Walley","year":"1997","unstructured":"Walley, P.: Statistical inferences based on a second-order possibility distribution. Int. J. Gen. Syst. 26, 337\u2013383 (1997)","journal-title":"Int. J. Gen. Syst."},{"issue":"3","key":"31_CR25","doi-asserted-by":"publisher","first-page":"339","DOI":"10.1016\/j.ijar.2006.07.017","volume":"44","author":"A Wallner","year":"2007","unstructured":"Wallner, A.: Extreme points of coherent probabilities in finite spaces. Int. J. Approximate Reasoning 44(3), 339\u2013357 (2007)","journal-title":"Int. J. Approximate Reasoning"}],"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_31","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2021,11,1]],"date-time":"2021-11-01T10:09:15Z","timestamp":1635761355000},"score":1,"resource":{"primary":{"URL":"https:\/\/link.springer.com\/10.1007\/978-3-030-86772-0_31"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2021]]},"ISBN":["9783030867713","9783030867720"],"references-count":25,"URL":"https:\/\/doi.org\/10.1007\/978-3-030-86772-0_31","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)"}}]}}