{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,11,2]],"date-time":"2025-11-02T16:47:34Z","timestamp":1762102054546},"publisher-location":"Cham","reference-count":41,"publisher":"Springer International Publishing","isbn-type":[{"type":"print","value":"9783319615806"},{"type":"electronic","value":"9783319615813"}],"license":[{"start":{"date-parts":[[2017,1,1]],"date-time":"2017-01-01T00:00:00Z","timestamp":1483228800000},"content-version":"unspecified","delay-in-days":0,"URL":"http:\/\/www.springer.com\/tdm"}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":[],"published-print":{"date-parts":[[2017]]},"DOI":"10.1007\/978-3-319-61581-3_43","type":"book-chapter","created":{"date-parts":[[2017,6,13]],"date-time":"2017-06-13T22:56:38Z","timestamp":1497394598000},"page":"480-490","source":"Crossref","is-referenced-by-count":8,"title":["Generalized Probabilistic Modus Ponens"],"prefix":"10.1007","author":[{"given":"Giuseppe","family":"Sanfilippo","sequence":"first","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Niki","family":"Pfeifer","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Angelo","family":"Gilio","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"297","published-online":{"date-parts":[[2017,6,15]]},"reference":[{"key":"43_CR1","doi-asserted-by":"crossref","DOI":"10.1007\/978-94-015-7622-2","volume-title":"The Logic of Conditionals","author":"EW Adams","year":"1975","unstructured":"Adams, E.W.: The Logic of Conditionals. Reidel, Dordrecht (1975)"},{"key":"43_CR2","volume-title":"A Primer of Probability Logic","author":"EW Adams","year":"1998","unstructured":"Adams, E.W.: A Primer of Probability Logic. CSLI, Stanford (1998)"},{"key":"43_CR3","doi-asserted-by":"crossref","first-page":"259","DOI":"10.1016\/S0004-3702(97)00012-X","volume":"92","author":"S Benferhat","year":"1997","unstructured":"Benferhat, S., Dubois, D., Prade, H.: Nonmonotonic reasoning, conditional objects and possibility theory. Artif. Intell. 92, 259\u2013276 (1997)","journal-title":"Artif. Intell."},{"issue":"1\u20132","key":"43_CR4","doi-asserted-by":"crossref","first-page":"35","DOI":"10.1007\/s10472-005-9005-y","volume":"45","author":"V Biazzo","year":"2005","unstructured":"Biazzo, V., Gilio, A., Lukasiewicz, T., Sanfilippo, G.: Probabilistic logic under coherence: complexity and algorithms. Ann. Math. Artif. Intell. 45(1\u20132), 35\u201381 (2005)","journal-title":"Ann. Math. Artif. Intell."},{"unstructured":"Biazzo, V., Gilio, A., Sanfilippo, G.: Generalized coherence and connection property of imprecise conditional previsions. In: Proceedings of IPMU 2008, Malaga, Spain, 22\u201327 June, pp. 907\u2013914 (2008)","key":"43_CR5"},{"key":"43_CR6","series-title":"Communications in Computer and Information Science","doi-asserted-by":"publisher","first-page":"146","DOI":"10.1007\/978-3-642-31724-8_16","volume-title":"Advances in Computational Intelligence","author":"V Biazzo","year":"2012","unstructured":"Biazzo, V., Gilio, A., Sanfilippo, G.: Coherent conditional previsions and proper scoring rules. In: Greco, S., Bouchon-Meunier, B., Coletti, G., Fedrizzi, M., Matarazzo, B., Yager, R.R. (eds.) IPMU 2012. CCIS, vol. 300, pp. 146\u2013156. Springer, Heidelberg (2012). doi: 10.1007\/978-3-642-31724-8_16"},{"key":"43_CR7","doi-asserted-by":"crossref","DOI":"10.5962\/bhl.title.29413","volume-title":"An Investigation of the Laws of Thought, On Which are Founded the Mathematical Theories of Logic and Probabilities","author":"G Boole","year":"1854","unstructured":"Boole, G.: An Investigation of the Laws of Thought, On Which are Founded the Mathematical Theories of Logic and Probabilities. Walton and Maberly, London (1854)"},{"issue":"2","key":"43_CR8","doi-asserted-by":"crossref","first-page":"132","DOI":"10.1198\/000313007X190943","volume":"61","author":"A Capotorti","year":"2007","unstructured":"Capotorti, A., Lad, F., Sanfilippo, G.: Reassessing accuracy rates of median decisions. Am. Stat. 61(2), 132\u2013138 (2007)","journal-title":"Am. Stat."},{"issue":"1","key":"43_CR9","doi-asserted-by":"crossref","first-page":"125","DOI":"10.1023\/A:1014531116863","volume":"35","author":"A Capotorti","year":"2002","unstructured":"Capotorti, A., Vantaggi, B.: Locally strong coherence in inference processes. Ann. Math. Artif. Intell. 35(1), 125\u2013149 (2002)","journal-title":"Ann. Math. Artif. Intell."},{"key":"43_CR10","doi-asserted-by":"crossref","DOI":"10.1007\/978-94-010-0474-9","volume-title":"Probabilistic Logic in a Coherent Setting","author":"G Coletti","year":"2002","unstructured":"Coletti, G., Scozzafava, R.: Probabilistic Logic in a Coherent Setting. Kluwer, Dordrecht (2002)"},{"key":"43_CR11","doi-asserted-by":"crossref","first-page":"181","DOI":"10.1007\/BF00996317","volume":"77","author":"B Finetti de","year":"1995","unstructured":"de Finetti, B.: The logic of probability. Philos. Stud. 77, 181\u2013190 (1995). Originally published in 1936","journal-title":"Philos. Stud."},{"unstructured":"de Finetti, B.: Foresight: its logical laws, its subjective sources. In: Kyburg,\u00a0Jr.\u00a0H., Smokler, H.E. (eds.) Studies in Subjective Probability, pp. 55\u2013118. Robert E. Krieger Publishing Company, Huntington (1980). Originally published in 1937","key":"43_CR12"},{"key":"43_CR13","volume-title":"Formal Logic: Or, the Calculus of Inference, Necessary and Probable","author":"A Morgan De","year":"1847","unstructured":"De Morgan, A.: Formal Logic: Or, the Calculus of Inference, Necessary and Probable. Taylor and Walton, London (1847). Reprinted 2002 by Eliborn Classics series"},{"unstructured":"Edginton, D.: Indicative conditionals. In: Zalta, E.N. (ed.) The Stanford Encyclopedia of Philosophy (Winter 2014 Edition). https:\/\/plato.stanford.edu\/archives\/win2014\/entries\/conditionals","key":"43_CR14"},{"issue":"2","key":"43_CR15","first-page":"321","volume":"29","author":"JSBT Evans","year":"2003","unstructured":"Evans, J.S.B.T., Handley, S.J., Over, D.E.: Conditionals and conditional probability. J. Exp. Psychol.: Learn. Mem. Cogn. 29(2), 321\u2013355 (2003)","journal-title":"J. Exp. Psychol.: Learn. Mem. Cogn."},{"key":"43_CR16","first-page":"221","volume-title":"Ifs","author":"A Gibbard","year":"1981","unstructured":"Gibbard, A.: Two recent theories of conditionals. In: Harper, W.L., Stalnaker, R., Pearce, G. (eds.) Ifs, pp. 221\u2013247. Reidel, Dordrecht (1981)"},{"key":"43_CR17","doi-asserted-by":"crossref","first-page":"5","DOI":"10.1023\/A:1014422615720","volume":"34","author":"A Gilio","year":"2002","unstructured":"Gilio, A.: Probabilistic reasoning under coherence in System P. Ann. Math. Artif. Intell. 34, 5\u201334 (2002)","journal-title":"Ann. Math. Artif. Intell."},{"issue":"3","key":"43_CR18","doi-asserted-by":"crossref","first-page":"413","DOI":"10.1016\/j.ijar.2011.08.004","volume":"53","author":"A Gilio","year":"2012","unstructured":"Gilio, A.: Generalizing inference rules in a coherence-based probabilistic default reasoning. Int. J. Approximate Reasoning 53(3), 413\u2013434 (2012)","journal-title":"Int. J. Approximate Reasoning"},{"unstructured":"Gilio, A., Over, D.E., Pfeifer, N., Sanfilippo, G.: Centering with conjoined and iterated conditionals under coherence. https:\/\/arxiv.org\/abs\/1701.07785","key":"43_CR19"},{"key":"43_CR20","series-title":"Advances in Intelligent Systems and Computing","doi-asserted-by":"crossref","first-page":"253","DOI":"10.1007\/978-3-319-42972-4_32","volume-title":"Soft Methods for Data Science","author":"A Gilio","year":"2017","unstructured":"Gilio, A., Over, D.E., Pfeifer, N., Sanfilippo, G.: Centering and compound conditionals under coherence. In: Ferraro, M., et al. (eds.) Soft Methods for Data Science. AISC, vol. 456, pp. 253\u2013260. Springer, Heidelberg (2017)"},{"key":"43_CR21","doi-asserted-by":"crossref","first-page":"46","DOI":"10.1016\/j.jal.2015.09.012","volume":"14","author":"A Gilio","year":"2016","unstructured":"Gilio, A., Pfeifer, N., Sanfilippo, G.: Transitivity in coherence-based probability logic. J. Appl. Logic 14, 46\u201364 (2016)","journal-title":"J. Appl. Logic"},{"key":"43_CR22","series-title":"Lecture Notes in Computer Science (Lecture Notes in Artificial Intelligence)","doi-asserted-by":"publisher","first-page":"218","DOI":"10.1007\/978-3-642-39091-3_19","volume-title":"Symbolic and Quantitative Approaches to Reasoning with Uncertainty","author":"A Gilio","year":"2013","unstructured":"Gilio, A., Sanfilippo, G.: Conditional random quantities and iterated conditioning in the setting of coherence. In: van der Gaag, L.C. (ed.) ECSQARU 2013. LNCS (LNAI), vol. 7958, pp. 218\u2013229. Springer, Heidelberg (2013). doi: 10.1007\/978-3-642-39091-3_19"},{"key":"43_CR23","series-title":"Advances in Intelligent Systems and Computing","doi-asserted-by":"crossref","first-page":"399","DOI":"10.1007\/978-3-642-33042-1_43","volume-title":"Synergies of Soft Computing and Statistics for Intelligent Data Analysis","author":"A Gilio","year":"2013","unstructured":"Gilio, A., Sanfilippo, G.: Conjunction, disjunction and iterated conditioning of conditional events. In: Kruse, R., Berthold, M., Moewes, C., Gil, M., Grzegorzewski, P., Hryniewicz, O. (eds.) Synergies of Soft Computing and Statistics for Intelligent Data Analysis. AISC, vol. 190, pp. 399\u2013407. Springer, Berlin (2013)"},{"issue":"4","key":"43_CR24","doi-asserted-by":"crossref","first-page":"513","DOI":"10.1016\/j.ijar.2012.11.001","volume":"54","author":"A Gilio","year":"2013","unstructured":"Gilio, A., Sanfilippo, G.: Probabilistic entailment in the setting of coherence: the role of quasi conjunction and inclusion relation. Int. J. Approximate Reasoning 54(4), 513\u2013525 (2013)","journal-title":"Int. J. Approximate Reasoning"},{"key":"43_CR25","doi-asserted-by":"crossref","first-page":"146","DOI":"10.1016\/j.ins.2013.03.019","volume":"245","author":"A Gilio","year":"2013","unstructured":"Gilio, A., Sanfilippo, G.: Quasi conjunction, quasi disjunction, t-norms and t-conorms: probabilistic aspects. Inf. Sci. 245, 146\u2013167 (2013)","journal-title":"Inf. Sci."},{"issue":"4","key":"43_CR26","doi-asserted-by":"crossref","first-page":"709","DOI":"10.1007\/s11225-013-9511-6","volume":"102","author":"A Gilio","year":"2014","unstructured":"Gilio, A., Sanfilippo, G.: Conditional random quantities and compounds of conditionals. Stud. Logica 102(4), 709\u2013729 (2014)","journal-title":"Stud. Logica"},{"key":"43_CR27","doi-asserted-by":"crossref","first-page":"207","DOI":"10.1023\/A:1004754819280","volume":"29","author":"T Hailperin","year":"2000","unstructured":"Hailperin, T.: Probability semantics for quantifier logic. J. Philos. Logic 29, 207\u2013239 (2000)","journal-title":"J. Philos. Logic"},{"key":"43_CR28","doi-asserted-by":"crossref","first-page":"1","DOI":"10.1007\/s10992-008-9088-0","volume":"38","author":"S Kaufmann","year":"2009","unstructured":"Kaufmann, S.: Conditionals right and left: probabilities for the whole family. J. Philos. Logic 38, 1\u201353 (2009)","journal-title":"J. Philos. Logic"},{"key":"43_CR29","volume-title":"Operational Subjective Statistical Methods: A Mathematical, Philosophical, and Historical Introduction","author":"F Lad","year":"1996","unstructured":"Lad, F.: Operational Subjective Statistical Methods: A Mathematical, Philosophical, and Historical Introduction. Wiley, New York (1996)"},{"issue":"1","key":"43_CR30","doi-asserted-by":"crossref","first-page":"40","DOI":"10.1214\/14-STS430","volume":"30","author":"F Lad","year":"2015","unstructured":"Lad, F., Sanfilippo, G., Agr\u00f3, G.: Extropy: complementary dual of entropy. Stat. Sci. 30(1), 40\u201358 (2015)","journal-title":"Stat. Sci."},{"key":"43_CR31","volume-title":"Neues Organon oder Gedanken \u00fcber die Erforschung und Bezeichnung des Wahren und dessen Unterscheidung vom Irrthum und Schein","author":"JH Lambert","year":"1764","unstructured":"Lambert, J.H.: Neues Organon oder Gedanken \u00fcber die Erforschung und Bezeichnung des Wahren und dessen Unterscheidung vom Irrthum und Schein. Wendler, Leipzig (1764)"},{"key":"43_CR32","doi-asserted-by":"crossref","first-page":"297","DOI":"10.2307\/2184045","volume":"85","author":"D Lewis","year":"1976","unstructured":"Lewis, D.: Probabilities of conditionals and conditional probabilities. Philos. Rev. 85, 297\u2013315 (1976)","journal-title":"Philos. Rev."},{"issue":"4","key":"43_CR33","doi-asserted-by":"crossref","first-page":"485","DOI":"10.2307\/2185116","volume":"98","author":"V McGee","year":"1989","unstructured":"McGee, V.: Conditional probabilities and compounds of conditionals. Philos. Rev. 98(4), 485\u2013541 (1989)","journal-title":"Philos. Rev."},{"key":"43_CR34","doi-asserted-by":"crossref","first-page":"160","DOI":"10.1016\/j.ijar.2016.11.014","volume":"81","author":"D Petturiti","year":"2017","unstructured":"Petturiti, D., Vantaggi, B.: Envelopes of conditional probabilities extending a strategy and a prior probability. Int. J. Approximate Reasoning 81, 160\u2013182 (2017)","journal-title":"Int. J. Approximate Reasoning"},{"issue":"3\u20134","key":"43_CR35","doi-asserted-by":"crossref","first-page":"329","DOI":"10.1080\/13546783.2013.838189","volume":"19","author":"N Pfeifer","year":"2013","unstructured":"Pfeifer, N.: The new psychology of reasoning: a mental probability logical perspective. Thinking Reasoning 19(3\u20134), 329\u2013345 (2013)","journal-title":"Thinking Reasoning"},{"key":"43_CR36","first-page":"391","volume":"42","author":"N Pfeifer","year":"2006","unstructured":"Pfeifer, N., Kleiter, G.D.: Inference in conditional probability logic. Kybernetika 42, 391\u2013404 (2006)","journal-title":"Kybernetika"},{"issue":"2","key":"43_CR37","doi-asserted-by":"crossref","first-page":"206","DOI":"10.1016\/j.jal.2007.11.005","volume":"7","author":"N Pfeifer","year":"2009","unstructured":"Pfeifer, N., Kleiter, G.D.: Framing human inference by coherence based probability logic. J. Appl. Logic 7(2), 206\u2013217 (2009)","journal-title":"J. Appl. Logic"},{"doi-asserted-by":"publisher","unstructured":"Pfeifer, N., Sanfilippo, G.: Probabilistic squares and hexagons of opposition under coherence. Int. J. Approximate Reasoning. doi: 10.1016\/j.ijar.2017.05.014 . (in press)","key":"43_CR38","DOI":"10.1016\/j.ijar.2017.05.014"},{"key":"43_CR39","series-title":"Advances in Intelligent Systems and Computing","doi-asserted-by":"crossref","first-page":"407","DOI":"10.1007\/978-3-319-42972-4_50","volume-title":"Soft Methods for Data Science","author":"N Pfeifer","year":"2017","unstructured":"Pfeifer, N., Sanfilippo, G.: Square of opposition under coherence. In: Ferraro, M., et al. (eds.) Soft Methods for Data Science. AISC, vol. 456, pp. 407\u2013414. Springer, Berlin (2017)"},{"doi-asserted-by":"crossref","unstructured":"Sanfilippo, G., Gilio, A., Pfeifer, N.: A Generalized Probabilistic Version of Modus Ponens. http:\/\/arxiv.org\/abs\/1705.00385 (2017)","key":"43_CR40","DOI":"10.1007\/978-3-319-61581-3_43"},{"key":"43_CR41","doi-asserted-by":"crossref","first-page":"747","DOI":"10.1093\/bjps\/55.4.747","volume":"55","author":"C Wagner","year":"2004","unstructured":"Wagner, C.: Modus Tollens probabilized. Br. J. Philos. Sci. 55, 747\u2013753 (2004)","journal-title":"Br. J. Philos. Sci."}],"container-title":["Lecture Notes in Computer Science","Symbolic and Quantitative Approaches to Reasoning with Uncertainty"],"original-title":[],"link":[{"URL":"http:\/\/link.springer.com\/content\/pdf\/10.1007\/978-3-319-61581-3_43","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2022,7,29]],"date-time":"2022-07-29T13:05:15Z","timestamp":1659099915000},"score":1,"resource":{"primary":{"URL":"http:\/\/link.springer.com\/10.1007\/978-3-319-61581-3_43"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2017]]},"ISBN":["9783319615806","9783319615813"],"references-count":41,"URL":"https:\/\/doi.org\/10.1007\/978-3-319-61581-3_43","relation":{},"ISSN":["0302-9743","1611-3349"],"issn-type":[{"type":"print","value":"0302-9743"},{"type":"electronic","value":"1611-3349"}],"subject":[],"published":{"date-parts":[[2017]]}}}