{"id":"https://openalex.org/W2100163718","doi":"https://doi.org/10.1142/s0218488510006350","title":"FUZZY STRICT PREFERENCE RELATIONS COMPATIBLE WITH FUZZY ORDERINGS","display_name":"FUZZY STRICT PREFERENCE RELATIONS COMPATIBLE WITH FUZZY ORDERINGS","publication_year":2010,"publication_date":"2010-02-01","ids":{"openalex":"https://openalex.org/W2100163718","doi":"https://doi.org/10.1142/s0218488510006350","mag":"2100163718"},"language":"en","primary_location":{"id":"doi:10.1142/s0218488510006350","is_oa":false,"landing_page_url":"https://doi.org/10.1142/s0218488510006350","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":true,"oa_status":"green","oa_url":"https://uvadoc.uva.es/bitstream/10324/36230/1/2010IJUFKS.pdf","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5045704155","display_name":"Bonifacio Llamazares","orcid":"https://orcid.org/0000-0002-7538-4833"},"institutions":[{"id":"https://openalex.org/I108103353","display_name":"Universidad de Valladolid","ror":"https://ror.org/01fvbaw18","country_code":"ES","type":"education","lineage":["https://openalex.org/I108103353"]}],"countries":["ES"],"is_corresponding":true,"raw_author_name":"BONIFACIO LLAMAZARES","raw_affiliation_strings":["Department of Applied Economics, Valladolid University, Avda. Valle de Esgueva 6, E-47011 Valladolid, Spain"],"affiliations":[{"raw_affiliation_string":"Department of Applied Economics, Valladolid University, Avda. Valle de Esgueva 6, E-47011 Valladolid, Spain","institution_ids":["https://openalex.org/I108103353"]}]},{"author_position":"last","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":false,"raw_author_name":"BERNARD DE BAETS","raw_affiliation_strings":["Department of Applied Mathematics, Biometrics and Process Control, Ghent University, Coupure links 653, B-9000 Ghent, Belgium","Department of Applied Mathematics, Biometrics and Process Control, Ghent University, Coupure links 653, B 9000 Ghent, Belgium"],"affiliations":[{"raw_affiliation_string":"Department of Applied Mathematics, Biometrics and Process Control, Ghent University, Coupure links 653, B-9000 Ghent, Belgium","institution_ids":["https://openalex.org/I32597200"]},{"raw_affiliation_string":"Department of Applied Mathematics, Biometrics and Process Control, Ghent University, Coupure links 653, B 9000 Ghent, Belgium","institution_ids":["https://openalex.org/I32597200"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5045704155"],"corresponding_institution_ids":["https://openalex.org/I108103353"],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":true,"cited_by_count":8,"citation_normalized_percentile":{"value":0.19089001,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":98},"biblio":{"volume":"18","issue":"01","first_page":"13","last_page":"24"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10050","display_name":"Multi-Criteria Decision Making","score":0.9994000196456909,"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/T10050","display_name":"Multi-Criteria Decision Making","score":0.9994000196456909,"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":0.9990000128746033,"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/T11063","display_name":"Rough Sets and Fuzzy Logic","score":0.995199978351593,"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/fuzzy-logic","display_name":"Fuzzy logic","score":0.6856493949890137},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.6730260848999023},{"id":"https://openalex.org/keywords/preference-relation","display_name":"Preference relation","score":0.6639922261238098},{"id":"https://openalex.org/keywords/fuzzy-number","display_name":"Fuzzy number","score":0.5880743265151978},{"id":"https://openalex.org/keywords/preference","display_name":"Preference","score":0.5878344774246216},{"id":"https://openalex.org/keywords/transitive-relation","display_name":"Transitive relation","score":0.5216991305351257},{"id":"https://openalex.org/keywords/relation","display_name":"Relation (database)","score":0.48740437626838684},{"id":"https://openalex.org/keywords/defuzzification","display_name":"Defuzzification","score":0.48174169659614563},{"id":"https://openalex.org/keywords/fuzzy-set-operations","display_name":"Fuzzy set operations","score":0.48066604137420654},{"id":"https://openalex.org/keywords/type-2-fuzzy-sets-and-systems","display_name":"Type-2 fuzzy sets and systems","score":0.47507041692733765},{"id":"https://openalex.org/keywords/fuzzy-classification","display_name":"Fuzzy classification","score":0.47028234601020813},{"id":"https://openalex.org/keywords/fuzzy-subalgebra","display_name":"Fuzzy subalgebra","score":0.4695706367492676},{"id":"https://openalex.org/keywords/fuzzy-set","display_name":"Fuzzy set","score":0.4301655888557434},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.2571892738342285},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.22501957416534424},{"id":"https://openalex.org/keywords/data-mining","display_name":"Data mining","score":0.11233440041542053},{"id":"https://openalex.org/keywords/statistics","display_name":"Statistics","score":0.09665125608444214},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.09191027283668518}],"concepts":[{"id":"https://openalex.org/C58166","wikidata":"https://www.wikidata.org/wiki/Q224821","display_name":"Fuzzy logic","level":2,"score":0.6856493949890137},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.6730260848999023},{"id":"https://openalex.org/C2777062324","wikidata":"https://www.wikidata.org/wiki/Q25036211","display_name":"Preference relation","level":3,"score":0.6639922261238098},{"id":"https://openalex.org/C1883856","wikidata":"https://www.wikidata.org/wiki/Q3407463","display_name":"Fuzzy number","level":4,"score":0.5880743265151978},{"id":"https://openalex.org/C2781249084","wikidata":"https://www.wikidata.org/wiki/Q908656","display_name":"Preference","level":2,"score":0.5878344774246216},{"id":"https://openalex.org/C191399111","wikidata":"https://www.wikidata.org/wiki/Q64861","display_name":"Transitive relation","level":2,"score":0.5216991305351257},{"id":"https://openalex.org/C25343380","wikidata":"https://www.wikidata.org/wiki/Q277521","display_name":"Relation (database)","level":2,"score":0.48740437626838684},{"id":"https://openalex.org/C170260401","wikidata":"https://www.wikidata.org/wiki/Q5251735","display_name":"Defuzzification","level":5,"score":0.48174169659614563},{"id":"https://openalex.org/C148671577","wikidata":"https://www.wikidata.org/wiki/Q5511133","display_name":"Fuzzy set operations","level":4,"score":0.48066604137420654},{"id":"https://openalex.org/C17350324","wikidata":"https://www.wikidata.org/wiki/Q7860605","display_name":"Type-2 fuzzy sets and systems","level":5,"score":0.47507041692733765},{"id":"https://openalex.org/C127385683","wikidata":"https://www.wikidata.org/wiki/Q1475696","display_name":"Fuzzy classification","level":4,"score":0.47028234601020813},{"id":"https://openalex.org/C115740575","wikidata":"https://www.wikidata.org/wiki/Q5511136","display_name":"Fuzzy subalgebra","level":5,"score":0.4695706367492676},{"id":"https://openalex.org/C42011625","wikidata":"https://www.wikidata.org/wiki/Q1055058","display_name":"Fuzzy set","level":3,"score":0.4301655888557434},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.2571892738342285},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.22501957416534424},{"id":"https://openalex.org/C124101348","wikidata":"https://www.wikidata.org/wiki/Q172491","display_name":"Data mining","level":1,"score":0.11233440041542053},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.09665125608444214},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.09191027283668518}],"mesh":[],"locations_count":3,"locations":[{"id":"doi:10.1142/s0218488510006350","is_oa":false,"landing_page_url":"https://doi.org/10.1142/s0218488510006350","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:157.88.20.52:10324/36230","is_oa":true,"landing_page_url":"http://uvadoc.uva.es/handle/10324/36230","pdf_url":"https://uvadoc.uva.es/bitstream/10324/36230/1/2010IJUFKS.pdf","source":{"id":"https://openalex.org/S4306401553","display_name":"UVaDOC UVaDOC University of Valladolid Documentary Repository (University of Valladolid)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I108103353","host_organization_name":"Universidad de Valladolid","host_organization_lineage":["https://openalex.org/I108103353"],"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"},{"id":"pmh:oai:archive.ugent.be:1085550","is_oa":false,"landing_page_url":"https://biblio.ugent.be/publication/1085550","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":{"id":"pmh:oai:157.88.20.52:10324/36230","is_oa":true,"landing_page_url":"http://uvadoc.uva.es/handle/10324/36230","pdf_url":"https://uvadoc.uva.es/bitstream/10324/36230/1/2010IJUFKS.pdf","source":{"id":"https://openalex.org/S4306401553","display_name":"UVaDOC UVaDOC University of Valladolid Documentary Repository (University of Valladolid)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I108103353","host_organization_name":"Universidad de Valladolid","host_organization_lineage":["https://openalex.org/I108103353"],"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"},"sustainable_development_goals":[{"display_name":"Reduced inequalities","score":0.75,"id":"https://metadata.un.org/sdg/10"}],"awards":[],"funders":[{"id":"https://openalex.org/F4320328351","display_name":"Junta de Castilla y Le\u00f3n","ror":"https://ror.org/02s8dab97"},{"id":"https://openalex.org/F4320335322","display_name":"European Regional Development Fund","ror":"https://ror.org/00k4n6c32"}],"has_content":{"grobid_xml":true,"pdf":true},"content_urls":{"pdf":"https://content.openalex.org/works/W2100163718.pdf","grobid_xml":"https://content.openalex.org/works/W2100163718.grobid-xml"},"referenced_works_count":18,"referenced_works":["https://openalex.org/W94593613","https://openalex.org/W1581542210","https://openalex.org/W1606108510","https://openalex.org/W1976504505","https://openalex.org/W1993558221","https://openalex.org/W1998572170","https://openalex.org/W2010153906","https://openalex.org/W2016868078","https://openalex.org/W2017623402","https://openalex.org/W2023312639","https://openalex.org/W2034186531","https://openalex.org/W2040400099","https://openalex.org/W2059408789","https://openalex.org/W2062154780","https://openalex.org/W2082431610","https://openalex.org/W2085839902","https://openalex.org/W2157658647","https://openalex.org/W2403881478"],"related_works":["https://openalex.org/W2184441312","https://openalex.org/W2674573885","https://openalex.org/W1485268022","https://openalex.org/W1975005191","https://openalex.org/W4361984403","https://openalex.org/W1487720066","https://openalex.org/W139981661","https://openalex.org/W1542808721","https://openalex.org/W2331106272","https://openalex.org/W1489009679"],"abstract_inverted_index":{"One":[0],"of":[1,9,16,40,51],"the":[2,7,14,45,64,70,98],"most":[3],"important":[4],"issues":[5],"in":[6,61,106],"field":[8],"fuzzy":[10,18,24,29,41,47,53,57,72,78,86,90,109,119],"preference":[11,20,31,43,80,111,121],"modelling":[12],"is":[13,115],"construction":[15],"a":[17,23,28,37,52,56,84,107],"strict":[19,79,110,120],"relation":[21,26,59],"and":[22,88,100,123],"indifference":[25,73,91],"from":[27],"weak":[30,42],"relation.":[32,74,92,112],"Here,":[33],"we":[34],"focus":[35],"on":[36,97],"particular":[38],"class":[39],"relations,":[44],"so-called":[46],"orderings.":[48],"The":[49],"definition":[50],"ordering":[54,87],"involves":[55],"equivalence":[58],"and,":[60],"this":[62,103],"paper,":[63],"latter":[65],"will":[66],"be":[67],"considered":[68],"as":[69],"corresponding":[71],"We":[75],"search":[76],"for":[77],"relations":[81,122],"compatible":[82],"with":[83],"given":[85],"its":[89],"In":[93],"many":[94],"situations,":[95],"depending":[96],"t-norm":[99],"t-conorm":[101],"used,":[102],"quest":[104],"results":[105],"unique":[108],"Our":[113],"aim":[114],"to":[116,124],"characterize":[117],"these":[118],"study":[125],"their":[126],"transitivity.":[127]},"counts_by_year":[{"year":2018,"cited_by_count":1},{"year":2017,"cited_by_count":5},{"year":2016,"cited_by_count":1},{"year":2015,"cited_by_count":1}],"updated_date":"2026-04-03T22:45:19.894376","created_date":"2025-10-10T00:00:00"}