{"id":"https://openalex.org/W2014619170","doi":"https://doi.org/10.1016/0888-613x(87)90004-1","title":"On the knowledge structure of multi-solution variables, including quantified statements","display_name":"On the knowledge structure of multi-solution variables, including quantified statements","publication_year":1987,"publication_date":"1987-01-01","ids":{"openalex":"https://openalex.org/W2014619170","doi":"https://doi.org/10.1016/0888-613x(87)90004-1","mag":"2014619170"},"language":"en","primary_location":{"id":"doi:10.1016/0888-613x(87)90004-1","is_oa":false,"landing_page_url":"https://doi.org/10.1016/0888-613x(87)90004-1","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/A5072431554","display_name":"Ronald R. Yager","orcid":"https://orcid.org/0000-0003-2938-1858"},"institutions":[{"id":"https://openalex.org/I173466955","display_name":"Iona College","ror":"https://ror.org/00m79dm66","country_code":"US","type":"education","lineage":["https://openalex.org/I173466955"]}],"countries":["US"],"is_corresponding":true,"raw_author_name":"Ronald R. Yager","raw_affiliation_strings":["Machine Intelligence Institute, Iona College, USA"],"affiliations":[{"raw_affiliation_string":"Machine Intelligence Institute, Iona College, USA","institution_ids":["https://openalex.org/I173466955"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5072431554"],"corresponding_institution_ids":["https://openalex.org/I173466955"],"apc_list":{"value":2960,"currency":"USD","value_usd":2960},"apc_paid":null,"fwci":1.6715,"has_fulltext":false,"cited_by_count":9,"citation_normalized_percentile":{"value":0.8690959,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":94},"biblio":{"volume":"1","issue":"1","first_page":"23","last_page":"70"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11303","display_name":"Bayesian Modeling and Causal Inference","score":0.994700014591217,"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/T11303","display_name":"Bayesian Modeling and Causal Inference","score":0.994700014591217,"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/T11010","display_name":"Logic, Reasoning, and Knowledge","score":0.9890999794006348,"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/T10906","display_name":"AI-based Problem Solving and Planning","score":0.9879000186920166,"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/proposition","display_name":"Proposition","score":0.8286260366439819},{"id":"https://openalex.org/keywords/variable","display_name":"Variable (mathematics)","score":0.700804591178894},{"id":"https://openalex.org/keywords/degree","display_name":"Degree (music)","score":0.6534168124198914},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.6243950724601746},{"id":"https://openalex.org/keywords/measure","display_name":"Measure (data warehouse)","score":0.5974909067153931},{"id":"https://openalex.org/keywords/representation","display_name":"Representation (politics)","score":0.5260784029960632},{"id":"https://openalex.org/keywords/value","display_name":"Value (mathematics)","score":0.481596440076828},{"id":"https://openalex.org/keywords/mathematical-economics","display_name":"Mathematical economics","score":0.3929588496685028},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.3283872604370117},{"id":"https://openalex.org/keywords/econometrics","display_name":"Econometrics","score":0.32208001613616943},{"id":"https://openalex.org/keywords/epistemology","display_name":"Epistemology","score":0.2496981918811798},{"id":"https://openalex.org/keywords/statistics","display_name":"Statistics","score":0.2074912190437317},{"id":"https://openalex.org/keywords/data-mining","display_name":"Data mining","score":0.11440920829772949},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.08324027061462402},{"id":"https://openalex.org/keywords/law","display_name":"Law","score":0.06304365396499634},{"id":"https://openalex.org/keywords/philosophy","display_name":"Philosophy","score":0.055593252182006836}],"concepts":[{"id":"https://openalex.org/C2777152325","wikidata":"https://www.wikidata.org/wiki/Q108163","display_name":"Proposition","level":2,"score":0.8286260366439819},{"id":"https://openalex.org/C182365436","wikidata":"https://www.wikidata.org/wiki/Q50701","display_name":"Variable (mathematics)","level":2,"score":0.700804591178894},{"id":"https://openalex.org/C2775997480","wikidata":"https://www.wikidata.org/wiki/Q586277","display_name":"Degree (music)","level":2,"score":0.6534168124198914},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.6243950724601746},{"id":"https://openalex.org/C2780009758","wikidata":"https://www.wikidata.org/wiki/Q6804172","display_name":"Measure (data warehouse)","level":2,"score":0.5974909067153931},{"id":"https://openalex.org/C2776359362","wikidata":"https://www.wikidata.org/wiki/Q2145286","display_name":"Representation (politics)","level":3,"score":0.5260784029960632},{"id":"https://openalex.org/C2776291640","wikidata":"https://www.wikidata.org/wiki/Q2912517","display_name":"Value (mathematics)","level":2,"score":0.481596440076828},{"id":"https://openalex.org/C144237770","wikidata":"https://www.wikidata.org/wiki/Q747534","display_name":"Mathematical economics","level":1,"score":0.3929588496685028},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.3283872604370117},{"id":"https://openalex.org/C149782125","wikidata":"https://www.wikidata.org/wiki/Q160039","display_name":"Econometrics","level":1,"score":0.32208001613616943},{"id":"https://openalex.org/C111472728","wikidata":"https://www.wikidata.org/wiki/Q9471","display_name":"Epistemology","level":1,"score":0.2496981918811798},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.2074912190437317},{"id":"https://openalex.org/C124101348","wikidata":"https://www.wikidata.org/wiki/Q172491","display_name":"Data mining","level":1,"score":0.11440920829772949},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.08324027061462402},{"id":"https://openalex.org/C199539241","wikidata":"https://www.wikidata.org/wiki/Q7748","display_name":"Law","level":1,"score":0.06304365396499634},{"id":"https://openalex.org/C138885662","wikidata":"https://www.wikidata.org/wiki/Q5891","display_name":"Philosophy","level":0,"score":0.055593252182006836},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.0},{"id":"https://openalex.org/C94625758","wikidata":"https://www.wikidata.org/wiki/Q7163","display_name":"Politics","level":2,"score":0.0},{"id":"https://openalex.org/C17744445","wikidata":"https://www.wikidata.org/wiki/Q36442","display_name":"Political science","level":0,"score":0.0},{"id":"https://openalex.org/C24890656","wikidata":"https://www.wikidata.org/wiki/Q82811","display_name":"Acoustics","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1016/0888-613x(87)90004-1","is_oa":false,"landing_page_url":"https://doi.org/10.1016/0888-613x(87)90004-1","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":[{"score":0.7300000190734863,"id":"https://metadata.un.org/sdg/16","display_name":"Peace, Justice and strong institutions"}],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":15,"referenced_works":["https://openalex.org/W80992565","https://openalex.org/W1566211337","https://openalex.org/W1980080444","https://openalex.org/W1993328936","https://openalex.org/W2001179147","https://openalex.org/W2012858048","https://openalex.org/W2019950953","https://openalex.org/W2055496191","https://openalex.org/W2082593812","https://openalex.org/W2160600033","https://openalex.org/W2617942944","https://openalex.org/W2797148637","https://openalex.org/W4230588984","https://openalex.org/W4312837445","https://openalex.org/W6633996426"],"related_works":["https://openalex.org/W19473193","https://openalex.org/W2349990005","https://openalex.org/W2369153420","https://openalex.org/W2388815250","https://openalex.org/W2394094611","https://openalex.org/W15182647","https://openalex.org/W2366429403","https://openalex.org/W150594749","https://openalex.org/W2158828542","https://openalex.org/W1738715547"],"abstract_inverted_index":null,"counts_by_year":[{"year":2015,"cited_by_count":1}],"updated_date":"2026-03-10T14:07:55.174380","created_date":"2025-10-10T00:00:00"}