{"id":"https://openalex.org/W1981308695","doi":"https://doi.org/10.1016/0270-0255(87)90506-9","title":"Direct and indirect scaling of membership functions of probability phrases","display_name":"Direct and indirect scaling of membership functions of probability phrases","publication_year":1987,"publication_date":"1987-01-01","ids":{"openalex":"https://openalex.org/W1981308695","doi":"https://doi.org/10.1016/0270-0255(87)90506-9","mag":"1981308695"},"language":"en","primary_location":{"id":"doi:10.1016/0270-0255(87)90506-9","doi":"https://doi.org/10.1016/0270-0255(87)90506-9","is_oa":true,"landing_page_url":"https://doi.org/10.1016/0270-0255(87)90506-9","pdf_url":null,"source":{"id":"https://openalex.org/S158411110","display_name":"Mathematical Modelling","issn_l":"0270-0255","issn":["0270-0255","1878-7231"],"is_oa":false,"is_in_doaj":false,"is_core":false,"listed_in":["norway-1"],"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":"Mathematical Modelling","raw_type":"journal-article"},"volume":null,"type":"article","indexed_in":["crossref","datacite"],"open_access":{"is_oa":true,"oa_status":"bronze","oa_url":"https://doi.org/10.1016/0270-0255(87)90506-9","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5025333334","display_name":"Amnon Rapoport","orcid":"https://orcid.org/0000-0003-1508-0771","observed_orcids":["https://orcid.org/0000-0003-1508-0771"]},"institutions":[{"id":"https://openalex.org/I114027177","display_name":"University of North Carolina at Chapel Hill","ror":"https://ror.org/0130frc33","country_code":"US","type":"education","lineage":["https://openalex.org/I114027177"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"A. Rapoport","raw_affiliation_strings":["Department of Psychology, University of North Carolina, Davie Hall 013-A, Chapel Hill, NC 27514, U.S.A"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Psychology, University of North Carolina, Davie Hall 013-A, Chapel Hill, NC 27514, U.S.A","institution_ids":["https://openalex.org/I114027177"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5025701051","display_name":"Thomas S. Wallsten","orcid":null,"observed_orcids":[]},"institutions":[{"id":"https://openalex.org/I114027177","display_name":"University of North Carolina at Chapel Hill","ror":"https://ror.org/0130frc33","country_code":"US","type":"education","lineage":["https://openalex.org/I114027177"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"T.S. Wallsten","raw_affiliation_strings":["Department of Psychology, University of North Carolina, Davie Hall 013-A, Chapel Hill, NC 27514, U.S.A"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Psychology, University of North Carolina, Davie Hall 013-A, Chapel Hill, NC 27514, U.S.A","institution_ids":["https://openalex.org/I114027177"]}]},{"author_position":"last","author":{"id":null,"display_name":"J.A. Cox","orcid":null,"observed_orcids":[]},"institutions":[{"id":"https://openalex.org/I114027177","display_name":"University of North Carolina at Chapel Hill","ror":"https://ror.org/0130frc33","country_code":"US","type":"education","lineage":["https://openalex.org/I114027177"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"J.A. Cox","raw_affiliation_strings":["Department of Psychology, University of North Carolina, Davie Hall 013-A, Chapel Hill, NC 27514, U.S.A"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Psychology, University of North Carolina, Davie Hall 013-A, Chapel Hill, NC 27514, U.S.A","institution_ids":["https://openalex.org/I114027177"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":[],"corresponding_institution_ids":["https://openalex.org/I114027177"],"apc_list":null,"apc_paid":null,"fwci":11.4794,"has_fulltext":true,"cited_by_count":62,"citation_normalized_percentile":{"value":0.98739399,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":89,"max":96},"biblio":{"volume":"9","issue":"6","first_page":"397","last_page":"417"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10467","display_name":"Psychometric Methodologies and Testing","score":0.43849998712539673,"subfield":{"id":"https://openalex.org/subfields/1803","display_name":"Management Science and Operations Research"},"field":{"id":"https://openalex.org/fields/18","display_name":"Decision Sciences"},"domain":{"id":"https://openalex.org/domains/2","display_name":"Social Sciences"}},"topics":[{"id":"https://openalex.org/T10467","display_name":"Psychometric Methodologies and Testing","score":0.43849998712539673,"subfield":{"id":"https://openalex.org/subfields/1803","display_name":"Management Science and Operations Research"},"field":{"id":"https://openalex.org/fields/18","display_name":"Decision Sciences"},"domain":{"id":"https://openalex.org/domains/2","display_name":"Social Sciences"}},{"id":"https://openalex.org/T11727","display_name":"Advanced Algebra and Logic","score":0.13199999928474426,"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/T10820","display_name":"Fuzzy Logic and Control Systems","score":0.06830000132322311,"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/membership-functions","display_name":"membership functions","score":0.890999972820282},{"id":"https://openalex.org/keywords/linguistic-hedges","display_name":"linguistic hedges","score":0.7269999980926514},{"id":"https://openalex.org/keywords/degree-of-fuzziness","display_name":"degree of fuzziness","score":0.7160000205039978},{"id":"https://openalex.org/keywords/scale-invariance","display_name":"scale invariance","score":0.7699999809265137},{"id":"https://openalex.org/keywords/magnitude-estimation","display_name":"magnitude estimation","score":0.9959999918937683},{"id":"https://openalex.org/keywords/intensifiers","display_name":"intensifiers","score":0.4050000011920929},{"id":"https://openalex.org/keywords/very","display_name":"very","score":0.39800000190734863},{"id":"https://openalex.org/keywords/shift-model","display_name":"shift model","score":0.8460000157356262}],"concepts":[{"id":"https://openalex.org/C2776224158","wikidata":"https://www.wikidata.org/wiki/Q187931","display_name":"Phrase","level":2,"score":0.7596926689147949},{"id":"https://openalex.org/C99844830","wikidata":"https://www.wikidata.org/wiki/Q102441924","display_name":"Scaling","level":2,"score":0.7346402406692505},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.6763513088226318},{"id":"https://openalex.org/C190470478","wikidata":"https://www.wikidata.org/wiki/Q2370229","display_name":"Invariant (physics)","level":2,"score":0.5332491397857666},{"id":"https://openalex.org/C2779343474","wikidata":"https://www.wikidata.org/wiki/Q3109175","display_name":"Context (archaeology)","level":2,"score":0.5149679780006409},{"id":"https://openalex.org/C14036430","wikidata":"https://www.wikidata.org/wiki/Q3736076","display_name":"Function (biology)","level":2,"score":0.5004866123199463},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.43876171112060547},{"id":"https://openalex.org/C197055811","wikidata":"https://www.wikidata.org/wiki/Q207522","display_name":"Probability density function","level":2,"score":0.4293847680091858},{"id":"https://openalex.org/C149782125","wikidata":"https://www.wikidata.org/wiki/Q160039","display_name":"Econometrics","level":1,"score":0.4258460998535156},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.32770609855651855},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.2790156900882721},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.24845299124717712},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.06884226202964783},{"id":"https://openalex.org/C78458016","wikidata":"https://www.wikidata.org/wiki/Q840400","display_name":"Evolutionary biology","level":1,"score":0.0},{"id":"https://openalex.org/C86803240","wikidata":"https://www.wikidata.org/wiki/Q420","display_name":"Biology","level":0,"score":0.0},{"id":"https://openalex.org/C151730666","wikidata":"https://www.wikidata.org/wiki/Q7205","display_name":"Paleontology","level":1,"score":0.0},{"id":"https://openalex.org/C37914503","wikidata":"https://www.wikidata.org/wiki/Q156495","display_name":"Mathematical physics","level":1,"score":0.0}],"mesh":[],"locations_count":3,"locations":[{"id":"doi:10.1016/0270-0255(87)90506-9","doi":"https://doi.org/10.1016/0270-0255(87)90506-9","is_oa":true,"landing_page_url":"https://doi.org/10.1016/0270-0255(87)90506-9","pdf_url":null,"source":{"id":"https://openalex.org/S158411110","display_name":"Mathematical Modelling","issn_l":"0270-0255","issn":["0270-0255","1878-7231"],"is_oa":false,"is_in_doaj":false,"is_core":false,"listed_in":["norway-1"],"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":"Mathematical Modelling","raw_type":"journal-article"},{"id":"pmh:cdr.lib.unc.edu:3t946104k","doi":null,"is_oa":true,"landing_page_url":"https://doi.org/10.17615/3zeg-nf26","pdf_url":"https://doi.org/10.17615/3zeg-nf26","source":{"id":"https://openalex.org/S4306401075","display_name":"Carolina Digital Repository (University of North Carolina at Chapel Hill)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":"https://openalex.org/I114027177","host_organization_name":"University of North Carolina at Chapel Hill","host_organization_lineage":["https://openalex.org/I114027177"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Mathematical Modelling, 9(6)","raw_type":"Article"},{"id":"doi:10.17615/3zeg-nf26","doi":"https://doi.org/10.17615/3zeg-nf26","is_oa":true,"landing_page_url":"https://doi.org/10.17615/3zeg-nf26","pdf_url":null,"source":{"id":"https://openalex.org/S7407051488","display_name":"UNC Libraries","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":null,"is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"article-journal"}],"best_oa_location":{"id":"doi:10.1016/0270-0255(87)90506-9","doi":"https://doi.org/10.1016/0270-0255(87)90506-9","is_oa":true,"landing_page_url":"https://doi.org/10.1016/0270-0255(87)90506-9","pdf_url":null,"source":{"id":"https://openalex.org/S158411110","display_name":"Mathematical Modelling","issn_l":"0270-0255","issn":["0270-0255","1878-7231"],"is_oa":false,"is_in_doaj":false,"is_core":false,"listed_in":["norway-1"],"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":"Mathematical Modelling","raw_type":"journal-article"},"sustainable_development_goals":[],"sustainable_development_goals_aurora":[{"score":0.4699999988079071,"id":"https://metadata.un.org/sdg/16","display_name":"Peace, justice, and strong institutions"}],"study_designs":[],"awards":[],"funders":[{"id":"https://openalex.org/F4320337630","display_name":"Army Research Institute for the Behavioral and Social Sciences","ror":"https://ror.org/03bq05s23"}],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":36,"referenced_works":["https://openalex.org/W1482847666","https://openalex.org/W1519727106","https://openalex.org/W1568378076","https://openalex.org/W1784695092","https://openalex.org/W1978770682","https://openalex.org/W1999797460","https://openalex.org/W2003785473","https://openalex.org/W2016145638","https://openalex.org/W2017462139","https://openalex.org/W2020407132","https://openalex.org/W2029063732","https://openalex.org/W2029957774","https://openalex.org/W2033442452","https://openalex.org/W2045789762","https://openalex.org/W2048366140","https://openalex.org/W2051765707","https://openalex.org/W2055892602","https://openalex.org/W2059611823","https://openalex.org/W2060656101","https://openalex.org/W2066959845","https://openalex.org/W2072082768","https://openalex.org/W2082550766","https://openalex.org/W2083734377","https://openalex.org/W2089620786","https://openalex.org/W2092180595","https://openalex.org/W2107578669","https://openalex.org/W2168936936","https://openalex.org/W2295600790","https://openalex.org/W2494304250","https://openalex.org/W2602466406","https://openalex.org/W2921629193","https://openalex.org/W3147436841","https://openalex.org/W3198705679","https://openalex.org/W4237577440","https://openalex.org/W4249470828","https://openalex.org/W4250542752"],"related_works":["https://openalex.org/W2072082768","https://openalex.org/W2036958846","https://openalex.org/W1591696913","https://openalex.org/W2060579118","https://openalex.org/W53043172","https://openalex.org/W2083734377","https://openalex.org/W7052189024","https://openalex.org/W2042290021","https://openalex.org/W2035000143","https://openalex.org/W2207562886"],"abstract_inverted_index":null,"counts_by_year":[{"year":2024,"cited_by_count":1},{"year":2023,"cited_by_count":1},{"year":2020,"cited_by_count":1},{"year":2019,"cited_by_count":2},{"year":2018,"cited_by_count":1},{"year":2013,"cited_by_count":1}],"updated_date":"2026-10-16T09:59:22.235173","created_date":"2016-06-24T00:00:00"}
