{"id":"https://openalex.org/W2110760929","doi":"https://doi.org/10.1142/s021848859900009x","title":"G\u00d6DEL REPRESENTABLE FUZZY WEAK ORDERS","display_name":"G\u00d6DEL REPRESENTABLE FUZZY WEAK ORDERS","publication_year":1999,"publication_date":"1999-04-01","ids":{"openalex":"https://openalex.org/W2110760929","doi":"https://doi.org/10.1142/s021848859900009x","mag":"2110760929"},"language":"en","primary_location":{"id":"doi:10.1142/s021848859900009x","is_oa":false,"landing_page_url":"https://doi.org/10.1142/s021848859900009x","pdf_url":null,"source":{"id":"https://openalex.org/S69518169","display_name":"International Journal of Uncertainty Fuzziness and Knowledge-Based Systems","issn_l":"0218-4885","issn":["0218-4885","1793-6411"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319815","host_organization_name":"World Scientific","host_organization_lineage":["https://openalex.org/P4310319815"],"host_organization_lineage_names":["World Scientific"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"International Journal of Uncertainty, Fuzziness and Knowledge-Based Systems","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/A5012437460","display_name":"Bernard De Baets","orcid":"https://orcid.org/0000-0002-3876-620X"},"institutions":[{"id":"https://openalex.org/I32597200","display_name":"Ghent University","ror":"https://ror.org/00cv9y106","country_code":"BE","type":"education","lineage":["https://openalex.org/I32597200"]}],"countries":["BE"],"is_corresponding":true,"raw_author_name":"BERNARD DE BAETS","raw_affiliation_strings":["Department of  Applied Mathematics and Computer Science, University of Gent, Krijgslaan 281 (S9), B-9000 Gent, Belgium"],"affiliations":[{"raw_affiliation_string":"Department of  Applied Mathematics and Computer Science, University of Gent, Krijgslaan 281 (S9), B-9000 Gent, Belgium","institution_ids":["https://openalex.org/I32597200"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5067113365","display_name":"J\u00e1nos Fodor","orcid":"https://orcid.org/0000-0002-1638-7452"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"J\u00c1NOS FODOR","raw_affiliation_strings":["Department of Mathematics, University of Agricultural Sciences (GATE), P\u00e1ter K\u00e1roly u. 1, H-2103 G\u00f6d\u00f6ll\u0151, Hungary"],"affiliations":[{"raw_affiliation_string":"Department of Mathematics, University of Agricultural Sciences (GATE), P\u00e1ter K\u00e1roly u. 1, H-2103 G\u00f6d\u00f6ll\u0151, Hungary","institution_ids":[]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5072347317","display_name":"Etienne E. Kerre","orcid":"https://orcid.org/0000-0003-4530-6487"},"institutions":[{"id":"https://openalex.org/I32597200","display_name":"Ghent University","ror":"https://ror.org/00cv9y106","country_code":"BE","type":"education","lineage":["https://openalex.org/I32597200"]}],"countries":["BE"],"is_corresponding":false,"raw_author_name":"ETIENNE KERRE","raw_affiliation_strings":["Department of Applied Mathematics and Computer Science, University of Gent, Krijgslaan 281 (S9), B-9000 Gent, Belgium"],"affiliations":[{"raw_affiliation_string":"Department of Applied Mathematics and Computer Science, University of Gent, Krijgslaan 281 (S9), B-9000 Gent, Belgium","institution_ids":["https://openalex.org/I32597200"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5012437460"],"corresponding_institution_ids":["https://openalex.org/I32597200"],"apc_list":null,"apc_paid":null,"fwci":0.4884,"has_fulltext":false,"cited_by_count":12,"citation_normalized_percentile":{"value":0.68343496,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":94},"biblio":{"volume":"07","issue":"02","first_page":"135","last_page":"153"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11727","display_name":"Advanced Algebra and Logic","score":0.9997000098228455,"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"}},"topics":[{"id":"https://openalex.org/T11727","display_name":"Advanced Algebra and Logic","score":0.9997000098228455,"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/T11671","display_name":"Fuzzy and Soft Set Theory","score":0.9988999962806702,"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/T10050","display_name":"Multi-Criteria Decision Making","score":0.9969000220298767,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/transitive-relation","display_name":"Transitive relation","score":0.7620401382446289},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.6802999973297119},{"id":"https://openalex.org/keywords/fuzzy-logic","display_name":"Fuzzy logic","score":0.5762797594070435},{"id":"https://openalex.org/keywords/intersection","display_name":"Intersection (aeronautics)","score":0.5732797384262085},{"id":"https://openalex.org/keywords/transitive-closure","display_name":"Transitive closure","score":0.5211299061775208},{"id":"https://openalex.org/keywords/operator","display_name":"Operator (biology)","score":0.4563288688659668},{"id":"https://openalex.org/keywords/fuzzy-subalgebra","display_name":"Fuzzy subalgebra","score":0.4530392289161682},{"id":"https://openalex.org/keywords/context","display_name":"Context (archaeology)","score":0.44873106479644775},{"id":"https://openalex.org/keywords/fuzzy-number","display_name":"Fuzzy number","score":0.4176165759563446},{"id":"https://openalex.org/keywords/class","display_name":"Class (philosophy)","score":0.41414153575897217},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.40931764245033264},{"id":"https://openalex.org/keywords/fuzzy-set","display_name":"Fuzzy set","score":0.4082624912261963},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.371279776096344},{"id":"https://openalex.org/keywords/algebra-over-a-field","display_name":"Algebra over a field","score":0.3566263020038605},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.26492422819137573},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.17746758460998535},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.12499067187309265}],"concepts":[{"id":"https://openalex.org/C191399111","wikidata":"https://www.wikidata.org/wiki/Q64861","display_name":"Transitive relation","level":2,"score":0.7620401382446289},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.6802999973297119},{"id":"https://openalex.org/C58166","wikidata":"https://www.wikidata.org/wiki/Q224821","display_name":"Fuzzy logic","level":2,"score":0.5762797594070435},{"id":"https://openalex.org/C64543145","wikidata":"https://www.wikidata.org/wiki/Q162942","display_name":"Intersection (aeronautics)","level":2,"score":0.5732797384262085},{"id":"https://openalex.org/C128896722","wikidata":"https://www.wikidata.org/wiki/Q1501387","display_name":"Transitive closure","level":2,"score":0.5211299061775208},{"id":"https://openalex.org/C17020691","wikidata":"https://www.wikidata.org/wiki/Q139677","display_name":"Operator (biology)","level":5,"score":0.4563288688659668},{"id":"https://openalex.org/C115740575","wikidata":"https://www.wikidata.org/wiki/Q5511136","display_name":"Fuzzy subalgebra","level":5,"score":0.4530392289161682},{"id":"https://openalex.org/C2779343474","wikidata":"https://www.wikidata.org/wiki/Q3109175","display_name":"Context (archaeology)","level":2,"score":0.44873106479644775},{"id":"https://openalex.org/C1883856","wikidata":"https://www.wikidata.org/wiki/Q3407463","display_name":"Fuzzy number","level":4,"score":0.4176165759563446},{"id":"https://openalex.org/C2777212361","wikidata":"https://www.wikidata.org/wiki/Q5127848","display_name":"Class (philosophy)","level":2,"score":0.41414153575897217},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.40931764245033264},{"id":"https://openalex.org/C42011625","wikidata":"https://www.wikidata.org/wiki/Q1055058","display_name":"Fuzzy set","level":3,"score":0.4082624912261963},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.371279776096344},{"id":"https://openalex.org/C136119220","wikidata":"https://www.wikidata.org/wiki/Q1000660","display_name":"Algebra over a field","level":2,"score":0.3566263020038605},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.26492422819137573},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.17746758460998535},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.12499067187309265},{"id":"https://openalex.org/C86339819","wikidata":"https://www.wikidata.org/wiki/Q407384","display_name":"Transcription factor","level":3,"score":0.0},{"id":"https://openalex.org/C127413603","wikidata":"https://www.wikidata.org/wiki/Q11023","display_name":"Engineering","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/C146978453","wikidata":"https://www.wikidata.org/wiki/Q3798668","display_name":"Aerospace engineering","level":1,"score":0.0},{"id":"https://openalex.org/C185592680","wikidata":"https://www.wikidata.org/wiki/Q2329","display_name":"Chemistry","level":0,"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/C55493867","wikidata":"https://www.wikidata.org/wiki/Q7094","display_name":"Biochemistry","level":1,"score":0.0},{"id":"https://openalex.org/C158448853","wikidata":"https://www.wikidata.org/wiki/Q425218","display_name":"Repressor","level":4,"score":0.0},{"id":"https://openalex.org/C104317684","wikidata":"https://www.wikidata.org/wiki/Q7187","display_name":"Gene","level":2,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1142/s021848859900009x","is_oa":false,"landing_page_url":"https://doi.org/10.1142/s021848859900009x","pdf_url":null,"source":{"id":"https://openalex.org/S69518169","display_name":"International Journal of Uncertainty Fuzziness and Knowledge-Based Systems","issn_l":"0218-4885","issn":["0218-4885","1793-6411"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319815","host_organization_name":"World Scientific","host_organization_lineage":["https://openalex.org/P4310319815"],"host_organization_lineage_names":["World Scientific"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"International Journal of Uncertainty, Fuzziness and Knowledge-Based Systems","raw_type":"journal-article"},{"id":"pmh:oai:archive.ugent.be:174671","is_oa":false,"landing_page_url":"https://biblio.ugent.be/publication/174671","pdf_url":null,"source":{"id":"https://openalex.org/S4306400478","display_name":"Ghent University Academic Bibliography (Ghent University)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I32597200","host_organization_name":"Ghent University","host_organization_lineage":["https://openalex.org/I32597200"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"ISSN: 0218-4885","raw_type":"info:eu-repo/semantics/publishedVersion"}],"best_oa_location":null,"sustainable_development_goals":[{"id":"https://metadata.un.org/sdg/16","score":0.7900000214576721,"display_name":"Peace, Justice and strong institutions"}],"awards":[],"funders":[{"id":"https://openalex.org/F4320321038","display_name":"Fonds National de la Recherche Luxembourg","ror":"https://ror.org/039z13y21"},{"id":"https://openalex.org/F4320321994","display_name":"Hungarian Scientific Research Fund","ror":"https://ror.org/00v349e63"},{"id":"https://openalex.org/F4320327336","display_name":"Vlaamse regering","ror":null}],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":6,"referenced_works":["https://openalex.org/W968309248","https://openalex.org/W1978933272","https://openalex.org/W1993558221","https://openalex.org/W2004494496","https://openalex.org/W2047649397","https://openalex.org/W2057103955"],"related_works":["https://openalex.org/W2460134115","https://openalex.org/W2059762196","https://openalex.org/W2874405962","https://openalex.org/W2000292844","https://openalex.org/W159892607","https://openalex.org/W2004494496","https://openalex.org/W2382151687","https://openalex.org/W2018716767","https://openalex.org/W578467786","https://openalex.org/W2597436143"],"abstract_inverted_index":{"This":[0],"paper":[1],"is":[2,26],"devoted":[3],"to":[4,36],"the":[5,19,31,37,69,77],"study":[6],"of":[7,21,30,40,49,63,81,85],"fuzzy":[8,11,15,50,70,90],"weak":[9,42,51,91],"orders,":[10,43],"quasi":[12],"orders":[13,52],"and":[14],"quasi-transitive":[16],"relations":[17,71],"in":[18],"context":[20],"group":[22],"decision":[23],"making.":[24],"Transitivity":[25],"modelled":[27],"by":[28,61],"means":[29,62],"minimum":[32],"operator.":[33],"In":[34],"analogy":[35],"numerical":[38,59],"representation":[39],"classical":[41],"we":[44],"consider":[45],"a":[46,58,82],"particular":[47],"class":[48],"that":[53,72],"can":[54,73],"be":[55,74],"constructed":[56],"from":[57],"evaluation":[60],"G\u00f6del":[64,88],"implicator.":[65],"We":[66],"fully":[67],"characterize":[68],"written":[75],"as":[76],"intersection":[78],"or":[79],"union":[80],"finite":[83],"family":[84],"these":[86],"so-called":[87],"representable":[89],"orders.":[92]},"counts_by_year":[{"year":2016,"cited_by_count":1}],"updated_date":"2026-04-04T16:13:02.066488","created_date":"2025-10-10T00:00:00"}
