{"id":"https://openalex.org/W2008674196","doi":"https://doi.org/10.1016/0888-613x(96)00037-0","title":"Avoiding triviality: Fuzzy implications and conditional events","display_name":"Avoiding triviality: Fuzzy implications and conditional events","publication_year":1996,"publication_date":"1996-08-01","ids":{"openalex":"https://openalex.org/W2008674196","doi":"https://doi.org/10.1016/0888-613x(96)00037-0","mag":"2008674196"},"language":"en","primary_location":{"id":"doi:10.1016/0888-613x(96)00037-0","is_oa":false,"landing_page_url":"https://doi.org/10.1016/0888-613x(96)00037-0","pdf_url":null,"source":{"id":"https://openalex.org/S33368595","display_name":"International Journal of Approximate Reasoning","issn_l":"0888-613X","issn":["0888-613X","1873-4731"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320990","host_organization_name":"Elsevier BV","host_organization_lineage":["https://openalex.org/P4310320990"],"host_organization_lineage_names":["Elsevier BV"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"International Journal of Approximate Reasoning","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/A5036397780","display_name":"Peter Milne","orcid":"https://orcid.org/0000-0003-4332-6003"},"institutions":[{"id":"https://openalex.org/I98677209","display_name":"University of Edinburgh","ror":"https://ror.org/01nrxwf90","country_code":"GB","type":"education","lineage":["https://openalex.org/I98677209"]}],"countries":["GB"],"is_corresponding":true,"raw_author_name":"Peter Milne","raw_affiliation_strings":["Department of Philosophy, University of Edinburgh, Edinburgh, Scotland"],"affiliations":[{"raw_affiliation_string":"Department of Philosophy, University of Edinburgh, Edinburgh, Scotland","institution_ids":["https://openalex.org/I98677209"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5036397780"],"corresponding_institution_ids":["https://openalex.org/I98677209"],"apc_list":{"value":2960,"currency":"USD","value_usd":2960},"apc_paid":null,"fwci":1.1453,"has_fulltext":false,"cited_by_count":5,"citation_normalized_percentile":{"value":0.82664358,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":94},"biblio":{"volume":"15","issue":"2","first_page":"123","last_page":"143"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11010","display_name":"Logic, Reasoning, and Knowledge","score":0.9990000128746033,"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":0.9990000128746033,"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/T11303","display_name":"Bayesian Modeling and Causal Inference","score":0.989799976348877,"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/T11727","display_name":"Advanced Algebra and Logic","score":0.9587000012397766,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/triviality","display_name":"Triviality","score":0.9168882369995117},{"id":"https://openalex.org/keywords/conditional-probability","display_name":"Conditional probability","score":0.7541900873184204},{"id":"https://openalex.org/keywords/event","display_name":"Event (particle physics)","score":0.5756217837333679},{"id":"https://openalex.org/keywords/law-of-total-probability","display_name":"Law of total probability","score":0.5732613205909729},{"id":"https://openalex.org/keywords/presupposition","display_name":"Presupposition","score":0.5456441640853882},{"id":"https://openalex.org/keywords/object","display_name":"Object (grammar)","score":0.48839420080184937},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.4846982955932617},{"id":"https://openalex.org/keywords/conditional-expectation","display_name":"Conditional expectation","score":0.47173988819122314},{"id":"https://openalex.org/keywords/fuzzy-logic","display_name":"Fuzzy logic","score":0.45700064301490784},{"id":"https://openalex.org/keywords/class","display_name":"Class (philosophy)","score":0.44058912992477417},{"id":"https://openalex.org/keywords/regular-conditional-probability","display_name":"Regular conditional probability","score":0.4331427812576294},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.38234031200408936},{"id":"https://openalex.org/keywords/theoretical-computer-science","display_name":"Theoretical computer science","score":0.3514125943183899},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.28656256198883057},{"id":"https://openalex.org/keywords/epistemology","display_name":"Epistemology","score":0.19671845436096191},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.18332058191299438},{"id":"https://openalex.org/keywords/posterior-probability","display_name":"Posterior probability","score":0.18230962753295898},{"id":"https://openalex.org/keywords/econometrics","display_name":"Econometrics","score":0.177684485912323},{"id":"https://openalex.org/keywords/philosophy","display_name":"Philosophy","score":0.11898061633110046},{"id":"https://openalex.org/keywords/statistics","display_name":"Statistics","score":0.10655805468559265},{"id":"https://openalex.org/keywords/bayesian-probability","display_name":"Bayesian probability","score":0.07564333081245422}],"concepts":[{"id":"https://openalex.org/C2778795013","wikidata":"https://www.wikidata.org/wiki/Q945127","display_name":"Triviality","level":2,"score":0.9168882369995117},{"id":"https://openalex.org/C44492722","wikidata":"https://www.wikidata.org/wiki/Q327069","display_name":"Conditional probability","level":2,"score":0.7541900873184204},{"id":"https://openalex.org/C2779662365","wikidata":"https://www.wikidata.org/wiki/Q5416694","display_name":"Event (particle physics)","level":2,"score":0.5756217837333679},{"id":"https://openalex.org/C49698424","wikidata":"https://www.wikidata.org/wiki/Q1989192","display_name":"Law of total probability","level":4,"score":0.5732613205909729},{"id":"https://openalex.org/C21190884","wikidata":"https://www.wikidata.org/wiki/Q1076131","display_name":"Presupposition","level":2,"score":0.5456441640853882},{"id":"https://openalex.org/C2781238097","wikidata":"https://www.wikidata.org/wiki/Q175026","display_name":"Object (grammar)","level":2,"score":0.48839420080184937},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.4846982955932617},{"id":"https://openalex.org/C186215838","wikidata":"https://www.wikidata.org/wiki/Q772232","display_name":"Conditional expectation","level":2,"score":0.47173988819122314},{"id":"https://openalex.org/C58166","wikidata":"https://www.wikidata.org/wiki/Q224821","display_name":"Fuzzy logic","level":2,"score":0.45700064301490784},{"id":"https://openalex.org/C2777212361","wikidata":"https://www.wikidata.org/wiki/Q5127848","display_name":"Class (philosophy)","level":2,"score":0.44058912992477417},{"id":"https://openalex.org/C103982235","wikidata":"https://www.wikidata.org/wiki/Q7309594","display_name":"Regular conditional probability","level":4,"score":0.4331427812576294},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.38234031200408936},{"id":"https://openalex.org/C80444323","wikidata":"https://www.wikidata.org/wiki/Q2878974","display_name":"Theoretical computer science","level":1,"score":0.3514125943183899},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.28656256198883057},{"id":"https://openalex.org/C111472728","wikidata":"https://www.wikidata.org/wiki/Q9471","display_name":"Epistemology","level":1,"score":0.19671845436096191},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.18332058191299438},{"id":"https://openalex.org/C57830394","wikidata":"https://www.wikidata.org/wiki/Q278079","display_name":"Posterior probability","level":3,"score":0.18230962753295898},{"id":"https://openalex.org/C149782125","wikidata":"https://www.wikidata.org/wiki/Q160039","display_name":"Econometrics","level":1,"score":0.177684485912323},{"id":"https://openalex.org/C138885662","wikidata":"https://www.wikidata.org/wiki/Q5891","display_name":"Philosophy","level":0,"score":0.11898061633110046},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.10655805468559265},{"id":"https://openalex.org/C107673813","wikidata":"https://www.wikidata.org/wiki/Q812534","display_name":"Bayesian probability","level":2,"score":0.07564333081245422},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.0},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1016/0888-613x(96)00037-0","is_oa":false,"landing_page_url":"https://doi.org/10.1016/0888-613x(96)00037-0","pdf_url":null,"source":{"id":"https://openalex.org/S33368595","display_name":"International Journal of Approximate Reasoning","issn_l":"0888-613X","issn":["0888-613X","1873-4731"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320990","host_organization_name":"Elsevier BV","host_organization_lineage":["https://openalex.org/P4310320990"],"host_organization_lineage_names":["Elsevier BV"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"International Journal of Approximate Reasoning","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[{"id":"https://metadata.un.org/sdg/10","score":0.6800000071525574,"display_name":"Reduced inequalities"}],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":41,"referenced_works":["https://openalex.org/W72620366","https://openalex.org/W73375746","https://openalex.org/W148651884","https://openalex.org/W382834063","https://openalex.org/W580985703","https://openalex.org/W654075515","https://openalex.org/W1522331516","https://openalex.org/W1529615003","https://openalex.org/W1584590635","https://openalex.org/W1600267829","https://openalex.org/W1967360918","https://openalex.org/W1982537065","https://openalex.org/W1994987439","https://openalex.org/W1998604475","https://openalex.org/W2017240052","https://openalex.org/W2017695773","https://openalex.org/W2022971483","https://openalex.org/W2040280989","https://openalex.org/W2065717209","https://openalex.org/W2083464739","https://openalex.org/W2092180595","https://openalex.org/W2095351076","https://openalex.org/W2127333323","https://openalex.org/W2127872406","https://openalex.org/W2130601422","https://openalex.org/W2141313404","https://openalex.org/W2321347379","https://openalex.org/W2321924914","https://openalex.org/W2324102090","https://openalex.org/W3028353368","https://openalex.org/W4206264042","https://openalex.org/W4229616141","https://openalex.org/W4230142576","https://openalex.org/W4232173486","https://openalex.org/W4235302748","https://openalex.org/W4245302342","https://openalex.org/W6601308685","https://openalex.org/W6602938234","https://openalex.org/W6631503033","https://openalex.org/W6654768931","https://openalex.org/W6673771767"],"related_works":["https://openalex.org/W1523756637","https://openalex.org/W4384376816","https://openalex.org/W86954390","https://openalex.org/W4233361406","https://openalex.org/W2285782125","https://openalex.org/W2900754349","https://openalex.org/W4210738546","https://openalex.org/W2592465853","https://openalex.org/W2090735589","https://openalex.org/W2938876720"],"abstract_inverted_index":null,"counts_by_year":[{"year":2012,"cited_by_count":1}],"updated_date":"2026-03-10T14:07:55.174380","created_date":"2025-10-10T00:00:00"}
