{"id":"https://openalex.org/W1489122339","doi":"https://doi.org/10.1023/a:1014585822798","title":"Simplification Rules for the Coherent Probability Assessment Problem","display_name":"Simplification Rules for the Coherent Probability Assessment Problem","publication_year":2002,"publication_date":"2002-05-01","ids":{"openalex":"https://openalex.org/W1489122339","doi":"https://doi.org/10.1023/a:1014585822798","mag":"1489122339"},"language":"en","primary_location":{"id":"doi:10.1023/a:1014585822798","is_oa":false,"landing_page_url":"https://doi.org/10.1023/a:1014585822798","pdf_url":null,"source":{"id":"https://openalex.org/S90199469","display_name":"Annals of Mathematics and Artificial Intelligence","issn_l":"1012-2443","issn":["1012-2443","1573-7470"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319900","host_organization_name":"Springer Science+Business Media","host_organization_lineage":["https://openalex.org/P4310319900","https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Science+Business Media","Springer Nature"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Annals of Mathematics and Artificial Intelligence","raw_type":"journal-article"},"type":"article","indexed_in":["crossref"],"open_access":{"is_oa":false,"oa_status":"closed","oa_url":null,"any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5058277216","display_name":"Marco Baioletti","orcid":"https://orcid.org/0000-0001-5630-7173"},"institutions":[{"id":"https://openalex.org/I102064193","display_name":"University of Siena","ror":"https://ror.org/01tevnk56","country_code":"IT","type":"education","lineage":["https://openalex.org/I102064193"]}],"countries":["IT"],"is_corresponding":true,"raw_author_name":"Marco Baioletti","raw_affiliation_strings":["Dipartimento di Metodi Quantitativi, Universit\u00e0 di Siena, Italy","Dipartimento di Metodi Quantitativi, Universit\u00e0 di Siena, Italy E-mail: marco@stat.unipg.it"],"affiliations":[{"raw_affiliation_string":"Dipartimento di Metodi Quantitativi, Universit\u00e0 di Siena, Italy","institution_ids":["https://openalex.org/I102064193"]},{"raw_affiliation_string":"Dipartimento di Metodi Quantitativi, Universit\u00e0 di Siena, Italy E-mail: marco@stat.unipg.it","institution_ids":["https://openalex.org/I102064193"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5016787376","display_name":"Andrea Capotorti","orcid":"https://orcid.org/0000-0002-1337-8315"},"institutions":[{"id":"https://openalex.org/I27483092","display_name":"University of Perugia","ror":"https://ror.org/00x27da85","country_code":"IT","type":"education","lineage":["https://openalex.org/I27483092"]}],"countries":["IT"],"is_corresponding":false,"raw_author_name":"Andrea Capotorti","raw_affiliation_strings":["Dipartimento di Matematica e Informatica, Universit\u00e0 di Perugia, Italy","Dipartimento di Matematica e Informatica, Universit\u00e0 di Perugia, Italy E-mail: capot@dipmat.unipg.it"],"affiliations":[{"raw_affiliation_string":"Dipartimento di Matematica e Informatica, Universit\u00e0 di Perugia, Italy","institution_ids":["https://openalex.org/I27483092"]},{"raw_affiliation_string":"Dipartimento di Matematica e Informatica, Universit\u00e0 di Perugia, Italy E-mail: capot@dipmat.unipg.it","institution_ids":["https://openalex.org/I27483092"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5027615405","display_name":"Sauro Tulipani","orcid":null},"institutions":[{"id":"https://openalex.org/I27483092","display_name":"University of Perugia","ror":"https://ror.org/00x27da85","country_code":"IT","type":"education","lineage":["https://openalex.org/I27483092"]}],"countries":["IT"],"is_corresponding":false,"raw_author_name":"Sauro Tulipani","raw_affiliation_strings":["Dipartimento di Matematica e Informatica, Universit\u00e0 di Perugia, Italy","Dipartimento di Matematica e Informatica, Universit\u00e0 di Perugia, Italy E-mail: tulipani@dipmat.unipg.it"],"affiliations":[{"raw_affiliation_string":"Dipartimento di Matematica e Informatica, Universit\u00e0 di Perugia, Italy","institution_ids":["https://openalex.org/I27483092"]},{"raw_affiliation_string":"Dipartimento di Matematica e Informatica, Universit\u00e0 di Perugia, Italy E-mail: tulipani@dipmat.unipg.it","institution_ids":["https://openalex.org/I27483092"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5001499140","display_name":"Barbara Vantaggi","orcid":"https://orcid.org/0000-0002-3651-3743"},"institutions":[{"id":"https://openalex.org/I861853513","display_name":"Sapienza University of Rome","ror":"https://ror.org/02be6w209","country_code":"IT","type":"education","lineage":["https://openalex.org/I861853513"]}],"countries":["IT"],"is_corresponding":false,"raw_author_name":"Barbara Vantaggi","raw_affiliation_strings":["Dipartimento di Metodi e Modelli Matematici, Universit\u00e0 \u201cLa Sapienza\u201d, Italy","Dipartimento di Metodi e Modelli Matematici, Universit\u00e0 \u201cLa Sapienza\u201d, Italy E-mail: vantaggi@dmmm.uniroma1.it"],"affiliations":[{"raw_affiliation_string":"Dipartimento di Metodi e Modelli Matematici, Universit\u00e0 \u201cLa Sapienza\u201d, Italy","institution_ids":["https://openalex.org/I861853513"]},{"raw_affiliation_string":"Dipartimento di Metodi e Modelli Matematici, Universit\u00e0 \u201cLa Sapienza\u201d, Italy E-mail: vantaggi@dmmm.uniroma1.it","institution_ids":["https://openalex.org/I861853513"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":4,"corresponding_author_ids":["https://openalex.org/A5058277216"],"corresponding_institution_ids":["https://openalex.org/I102064193"],"apc_list":{"value":2390,"currency":"EUR","value_usd":2990},"apc_paid":null,"fwci":1.7137,"has_fulltext":false,"cited_by_count":24,"citation_normalized_percentile":{"value":0.84983505,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":96},"biblio":{"volume":"35","issue":"1-4","first_page":"11","last_page":"28"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11010","display_name":"Logic, Reasoning, and Knowledge","score":0.9983999729156494,"subfield":{"id":"https://openalex.org/subfields/1702","display_name":"Artificial Intelligence"},"field":{"id":"https://openalex.org/fields/17","display_name":"Computer Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},"topics":[{"id":"https://openalex.org/T11010","display_name":"Logic, Reasoning, and Knowledge","score":0.9983999729156494,"subfield":{"id":"https://openalex.org/subfields/1702","display_name":"Artificial Intelligence"},"field":{"id":"https://openalex.org/fields/17","display_name":"Computer Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T10142","display_name":"Formal Methods in Verification","score":0.9976000189781189,"subfield":{"id":"https://openalex.org/subfields/1703","display_name":"Computational Theory and Mathematics"},"field":{"id":"https://openalex.org/fields/17","display_name":"Computer Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T11303","display_name":"Bayesian Modeling and Causal Inference","score":0.9950000047683716,"subfield":{"id":"https://openalex.org/subfields/1702","display_name":"Artificial Intelligence"},"field":{"id":"https://openalex.org/fields/17","display_name":"Computer Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/satisfiability","display_name":"Satisfiability","score":0.6617085933685303},{"id":"https://openalex.org/keywords/consistency","display_name":"Consistency (knowledge bases)","score":0.6583361625671387},{"id":"https://openalex.org/keywords/characterization","display_name":"Characterization (materials science)","score":0.572167694568634},{"id":"https://openalex.org/keywords/boolean-satisfiability-problem","display_name":"Boolean satisfiability problem","score":0.5708010196685791},{"id":"https://openalex.org/keywords/maximum-satisfiability-problem","display_name":"Maximum satisfiability problem","score":0.5570368766784668},{"id":"https://openalex.org/keywords/heuristic","display_name":"Heuristic","score":0.5556042790412903},{"id":"https://openalex.org/keywords/coherence","display_name":"Coherence (philosophical gambling strategy)","score":0.5275558829307556},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.4651763141155243},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.45383763313293457},{"id":"https://openalex.org/keywords/conjunctive-normal-form","display_name":"Conjunctive normal form","score":0.4490155875682831},{"id":"https://openalex.org/keywords/theoretical-computer-science","display_name":"Theoretical computer science","score":0.3919149339199066},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.3848918378353119},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.33029842376708984},{"id":"https://openalex.org/keywords/boolean-function","display_name":"Boolean function","score":0.3024272918701172},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.23450115323066711}],"concepts":[{"id":"https://openalex.org/C168773769","wikidata":"https://www.wikidata.org/wiki/Q1350299","display_name":"Satisfiability","level":2,"score":0.6617085933685303},{"id":"https://openalex.org/C2776436953","wikidata":"https://www.wikidata.org/wiki/Q5163215","display_name":"Consistency (knowledge bases)","level":2,"score":0.6583361625671387},{"id":"https://openalex.org/C2780841128","wikidata":"https://www.wikidata.org/wiki/Q5073781","display_name":"Characterization (materials science)","level":2,"score":0.572167694568634},{"id":"https://openalex.org/C6943359","wikidata":"https://www.wikidata.org/wiki/Q875276","display_name":"Boolean satisfiability problem","level":2,"score":0.5708010196685791},{"id":"https://openalex.org/C111797529","wikidata":"https://www.wikidata.org/wiki/Q17080584","display_name":"Maximum satisfiability problem","level":3,"score":0.5570368766784668},{"id":"https://openalex.org/C173801870","wikidata":"https://www.wikidata.org/wiki/Q201413","display_name":"Heuristic","level":2,"score":0.5556042790412903},{"id":"https://openalex.org/C2781181686","wikidata":"https://www.wikidata.org/wiki/Q4226068","display_name":"Coherence (philosophical gambling strategy)","level":2,"score":0.5275558829307556},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.4651763141155243},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.45383763313293457},{"id":"https://openalex.org/C16221470","wikidata":"https://www.wikidata.org/wiki/Q846564","display_name":"Conjunctive normal form","level":2,"score":0.4490155875682831},{"id":"https://openalex.org/C80444323","wikidata":"https://www.wikidata.org/wiki/Q2878974","display_name":"Theoretical computer science","level":1,"score":0.3919149339199066},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.3848918378353119},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.33029842376708984},{"id":"https://openalex.org/C187455244","wikidata":"https://www.wikidata.org/wiki/Q942353","display_name":"Boolean function","level":2,"score":0.3024272918701172},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.23450115323066711},{"id":"https://openalex.org/C171250308","wikidata":"https://www.wikidata.org/wiki/Q11468","display_name":"Nanotechnology","level":1,"score":0.0},{"id":"https://openalex.org/C192562407","wikidata":"https://www.wikidata.org/wiki/Q228736","display_name":"Materials science","level":0,"score":0.0},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1023/a:1014585822798","is_oa":false,"landing_page_url":"https://doi.org/10.1023/a:1014585822798","pdf_url":null,"source":{"id":"https://openalex.org/S90199469","display_name":"Annals of Mathematics and Artificial Intelligence","issn_l":"1012-2443","issn":["1012-2443","1573-7470"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319900","host_organization_name":"Springer Science+Business Media","host_organization_lineage":["https://openalex.org/P4310319900","https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Science+Business Media","Springer Nature"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Annals of Mathematics and Artificial Intelligence","raw_type":"journal-article"},{"id":"pmh:oai:iris.uniroma1.it:11573/100231","is_oa":false,"landing_page_url":"http://hdl.handle.net/11573/100231","pdf_url":null,"source":{"id":"https://openalex.org/S4377196107","display_name":"IRIS Research product catalog (Sapienza University of Rome)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":"info:eu-repo/semantics/article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":16,"referenced_works":["https://openalex.org/W1513769081","https://openalex.org/W1524306583","https://openalex.org/W1578044518","https://openalex.org/W1583299782","https://openalex.org/W1781185878","https://openalex.org/W1965892141","https://openalex.org/W1978296509","https://openalex.org/W1989131954","https://openalex.org/W2016463080","https://openalex.org/W2034409436","https://openalex.org/W2136633939","https://openalex.org/W2137124705","https://openalex.org/W2161627564","https://openalex.org/W2316690834","https://openalex.org/W2745756257","https://openalex.org/W2914795094"],"related_works":["https://openalex.org/W2301405299","https://openalex.org/W2480084299","https://openalex.org/W2394616262","https://openalex.org/W3152212242","https://openalex.org/W2014111643","https://openalex.org/W2408080066","https://openalex.org/W2406837904","https://openalex.org/W192406999","https://openalex.org/W2571882453","https://openalex.org/W4211028879"],"abstract_inverted_index":null,"counts_by_year":[{"year":2025,"cited_by_count":1},{"year":2022,"cited_by_count":1},{"year":2018,"cited_by_count":1},{"year":2016,"cited_by_count":1},{"year":2015,"cited_by_count":2},{"year":2014,"cited_by_count":2},{"year":2013,"cited_by_count":1},{"year":2012,"cited_by_count":2}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2016-06-24T00:00:00"}
