{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,10,11]],"date-time":"2025-10-11T08:22:42Z","timestamp":1760170962726,"version":"3.37.3"},"reference-count":22,"publisher":"Springer Science and Business Media LLC","issue":"1","license":[{"start":{"date-parts":[[2016,6,24]],"date-time":"2016-06-24T00:00:00Z","timestamp":1466726400000},"content-version":"unspecified","delay-in-days":0,"URL":"http:\/\/www.springer.com\/tdm"}],"funder":[{"DOI":"10.13039\/501100003339","name":"Consejo Superior de Investigaciones Cient\u00edficas","doi-asserted-by":"publisher","award":["TIN2015-71799-C2-1-P"],"award-info":[{"award-number":["TIN2015-71799-C2-1-P"]}],"id":[{"id":"10.13039\/501100003339","id-type":"DOI","asserted-by":"publisher"}]}],"content-domain":{"domain":["link.springer.com"],"crossmark-restriction":false},"short-container-title":["Soft Comput"],"published-print":{"date-parts":[[2017,1]]},"DOI":"10.1007\/s00500-016-2233-8","type":"journal-article","created":{"date-parts":[[2016,6,24]],"date-time":"2016-06-24T07:37:16Z","timestamp":1466753836000},"page":"113-123","update-policy":"https:\/\/doi.org\/10.1007\/springer_crossmark_policy","source":"Crossref","is-referenced-by-count":1,"title":["Layers of zero probability and stable coherence over \u0141ukasiewicz events"],"prefix":"10.1007","volume":"21","author":[{"given":"Tommaso","family":"Flaminio","sequence":"first","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Llu\u00eds","family":"Godo","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"297","published-online":{"date-parts":[[2016,6,24]]},"reference":[{"issue":"1","key":"2233_CR1","doi-asserted-by":"crossref","first-page":"61","DOI":"10.2307\/2938240","volume":"59","author":"L Blume","year":"1991","unstructured":"Blume L, Brandenburger A, Dekel E (1991) Lexicographic probabilities and choice under uncertainty. Econometrica 59(1):61\u201379","journal-title":"Econometrica"},{"key":"2233_CR2","doi-asserted-by":"crossref","first-page":"467","DOI":"10.1090\/S0002-9947-1958-0094302-9","volume":"88","author":"CC Chang","year":"1958","unstructured":"Chang CC (1958) Algebraic analysis of many-valued logics. Trans Am Math Soc 88:467\u2013490","journal-title":"Trans Am Math Soc"},{"key":"2233_CR3","doi-asserted-by":"crossref","DOI":"10.1007\/978-94-015-9480-6","volume-title":"Algebraic foundations of many-valued reasoning, trends in logic","author":"R Cignoli","year":"2000","unstructured":"Cignoli R, D\u2019Ottaviano IML, Mundici D (2000) Algebraic foundations of many-valued reasoning, trends in logic, vol 8. Kluwer, Dordrecht"},{"key":"2233_CR4","doi-asserted-by":"crossref","DOI":"10.1007\/978-94-010-0474-9","volume-title":"Probabilistic logic in a coherent setting. Trends in logic","author":"G Coletti","year":"2002","unstructured":"Coletti G, Scozzafava R (2002) Probabilistic logic in a coherent setting. Trends in logic, vol 15. Kluwer, Dordrecht"},{"key":"2233_CR5","volume-title":"Theory of probability","author":"B Finetti de","year":"1974","unstructured":"de Finetti B (1974) Theory of probability, vol 1. Wiley, New York"},{"key":"2233_CR6","doi-asserted-by":"crossref","first-page":"245","DOI":"10.1007\/s00153-004-0253-z","volume":"44","author":"T Flaminio","year":"2005","unstructured":"Flaminio T, Montagna F (2005) A logical and algebraic treatment of conditional probability. Arch Math Log 44:245\u2013262","journal-title":"Arch Math Log"},{"key":"2233_CR7","doi-asserted-by":"crossref","first-page":"155","DOI":"10.1016\/j.geb.2009.03.013","volume":"68","author":"JY Halpern","year":"2010","unstructured":"Halpern JY (2010) Lexicographic probability, conditional probability, and nonstandard probability. Games Econ Behav 68:155\u2013179","journal-title":"Games Econ Behav"},{"issue":"4","key":"2233_CR8","doi-asserted-by":"crossref","first-page":"477","DOI":"10.1007\/s00153-004-0214-6","volume":"43","author":"R Hor\u010d\u00edk","year":"2004","unstructured":"Hor\u010d\u00edk R, Cintula P (2004) Product \u0141ukasiewicz logic. Arch Math Log 43(4):477\u2013503","journal-title":"Arch Math Log"},{"issue":"3\u20134","key":"2233_CR9","doi-asserted-by":"crossref","first-page":"229","DOI":"10.1007\/BF01894506","volume":"19","author":"PH Krauss","year":"1968","unstructured":"Krauss PH (1968) Representation of conditional probability measures on Boolean algebras. Acta Math Acad Sci Hung Tomus 19(3\u20134):229\u2013241","journal-title":"Acta Math Acad Sci Hung Tomus"},{"issue":"2","key":"2233_CR10","doi-asserted-by":"crossref","first-page":"369","DOI":"10.1016\/j.fss.2004.04.010","volume":"149","author":"T Kroupa","year":"2005","unstructured":"Kroupa T (2005) Conditional probability on MV-algebras. Fuzzy Sets Syst 149(2):369\u2013381","journal-title":"Fuzzy Sets Syst"},{"issue":"3","key":"2233_CR11","doi-asserted-by":"crossref","first-page":"605","DOI":"10.1016\/j.ijar.2007.02.005","volume":"46","author":"J K\u00fchr","year":"2007","unstructured":"K\u00fchr J, Mundici D (2007) De Finetti theorem and Borel states in [0,1]-valued algebraic logic. Int J Approx Reason 46(3):605\u2013616","journal-title":"Int J Approx Reason"},{"key":"2233_CR12","doi-asserted-by":"crossref","first-page":"91","DOI":"10.1023\/A:1008322226835","volume":"9","author":"F Montagna","year":"2000","unstructured":"Montagna F (2000) An algebraic approach to propositional fuzzy logic. J Log Lang Inf 9:91\u2013124","journal-title":"J Log Lang Inf"},{"key":"2233_CR13","doi-asserted-by":"crossref","first-page":"109","DOI":"10.1007\/s00012-005-1923-3","volume":"53","author":"F Montagna","year":"2005","unstructured":"Montagna F (2005) Subreducts of MV-algebras with product and product residuation. Algebra Univ 53:109\u2013137","journal-title":"Algebra Univ"},{"issue":"5","key":"2233_CR14","doi-asserted-by":"crossref","first-page":"829","DOI":"10.1093\/logcom\/exp061","volume":"21","author":"F Montagna","year":"2011","unstructured":"Montagna F (2011) A notion of coherence for books on conditional events in many-valued logic. J Log Comput 21(5):829\u2013850","journal-title":"J Log Comput"},{"issue":"5","key":"2233_CR15","doi-asserted-by":"crossref","first-page":"573","DOI":"10.1016\/j.ijar.2013.02.003","volume":"54","author":"F Montagna","year":"2013","unstructured":"Montagna F, Fedel M, Scianna G (2013) Non-standard probability, coherence and conditional probability on many-valued events. Int J Approx Reason 54(5):573\u2013589","journal-title":"Int J Approx Reason"},{"issue":"2","key":"2233_CR16","doi-asserted-by":"crossref","first-page":"596","DOI":"10.2307\/2275410","volume":"59","author":"D Mundici","year":"1994","unstructured":"Mundici D (1994) A constructive proof of McNaughton\u2019s theorem in infinite-valued logic. J Symb Log 59(2):596\u2013602","journal-title":"J Symb Log"},{"issue":"1","key":"2233_CR17","doi-asserted-by":"crossref","first-page":"113","DOI":"10.1007\/BF01053035","volume":"55","author":"D Mundici","year":"1995","unstructured":"Mundici D (1995) Averaging the truth-value in \u0141ukasiewicz logic. Stud Log 55(1):113\u2013127","journal-title":"Stud Log"},{"key":"2233_CR18","doi-asserted-by":"crossref","first-page":"223","DOI":"10.1016\/j.ijar.2006.04.004","volume":"43","author":"D Mundici","year":"2006","unstructured":"Mundici D (2006) Bookmaking over infinite-valued events. Int J Approx Reason 43:223\u2013240","journal-title":"Int J Approx Reason"},{"key":"2233_CR19","doi-asserted-by":"crossref","DOI":"10.1007\/978-94-007-0840-2","volume-title":"Advanced \u0141ukasiewicz calculus and MV-algebras. Trends in logic","author":"D Mundici","year":"2011","unstructured":"Mundici D (2011) Advanced \u0141ukasiewicz calculus and MV-algebras. Trends in logic, vol 35. Springer, Dordrecht"},{"key":"2233_CR20","doi-asserted-by":"crossref","unstructured":"Nelson E (1988) Radically elementary probability theory. Annals of Math Studies, Princeton University Press","DOI":"10.1515\/9781400882144"},{"key":"2233_CR21","unstructured":"Paris J (2001) A note on the Dutch Book method. In: DeCooman G, Fine T, Seidenfeld T (eds) Proceedings of the second international symposium on imprecise probabilities and their applications, ISIPTA 2001, Ithaca, NY, USA, Shaker Publishing Company, pp 301\u2013306, 2001. http:\/\/www.maths.man.ac.uk\/DeptWeb\/Homepages\/jbp\/"},{"key":"2233_CR22","unstructured":"R\u00e9nyi A (1956) On conditional probability spaces generated by a dimensionally ordered set of measures. Theory Probab Appl 1:61\u201371. Reprinted as paper 120 in Selected Papers of Alfred R\u00e9nyi, I: 1948\u20131956. Akad\u00e9mia Kiad\u00f3, Budapest, 1976, pp 554\u2013557"}],"container-title":["Soft Computing"],"original-title":[],"language":"en","link":[{"URL":"http:\/\/link.springer.com\/content\/pdf\/10.1007\/s00500-016-2233-8.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/link.springer.com\/article\/10.1007\/s00500-016-2233-8\/fulltext.html","content-type":"text\/html","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/link.springer.com\/content\/pdf\/10.1007\/s00500-016-2233-8","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"},{"URL":"http:\/\/link.springer.com\/content\/pdf\/10.1007\/s00500-016-2233-8.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2019,9,10]],"date-time":"2019-09-10T00:44:20Z","timestamp":1568076260000},"score":1,"resource":{"primary":{"URL":"http:\/\/link.springer.com\/10.1007\/s00500-016-2233-8"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2016,6,24]]},"references-count":22,"journal-issue":{"issue":"1","published-print":{"date-parts":[[2017,1]]}},"alternative-id":["2233"],"URL":"https:\/\/doi.org\/10.1007\/s00500-016-2233-8","relation":{},"ISSN":["1432-7643","1433-7479"],"issn-type":[{"type":"print","value":"1432-7643"},{"type":"electronic","value":"1433-7479"}],"subject":[],"published":{"date-parts":[[2016,6,24]]}}}