{"id":"https://openalex.org/W2006383682","doi":"https://doi.org/10.1016/s0165-0114(03)00070-8","title":"Connecting fuzzy preorders, fuzzy consequence operators and fuzzy closure and co-closure systems","display_name":"Connecting fuzzy preorders, fuzzy consequence operators and fuzzy closure and co-closure systems","publication_year":2003,"publication_date":"2003-03-25","ids":{"openalex":"https://openalex.org/W2006383682","doi":"https://doi.org/10.1016/s0165-0114(03)00070-8","mag":"2006383682"},"language":"en","primary_location":{"id":"doi:10.1016/s0165-0114(03)00070-8","is_oa":false,"landing_page_url":"https://doi.org/10.1016/s0165-0114(03)00070-8","pdf_url":null,"source":{"id":"https://openalex.org/S169411308","display_name":"Fuzzy Sets and Systems","issn_l":"0165-0114","issn":["0165-0114","1872-6801"],"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":"Fuzzy Sets and 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/A5000245361","display_name":"Jorge Elorza","orcid":"https://orcid.org/0000-0002-5547-1083"},"institutions":[{"id":"https://openalex.org/I175051016","display_name":"Universidad Publica de Navarra","ror":"https://ror.org/02z0cah89","country_code":"ES","type":"education","lineage":["https://openalex.org/I175051016"]}],"countries":["ES"],"is_corresponding":true,"raw_author_name":"Jorge Elorza","raw_affiliation_strings":["Departamento de Autom\u00e1tica y Computaci\u00f3n, Universidad P\u00fablica de Navarra, Campus de Arrosad\u0131\u0301a, 31006 Pamplona, Spain","Departamento de Matem\u00e1tica e Inform\u00e1tica, Universidad P\u00fablica de Navarra, Campus de Arrosad\u0131\u0301a, 31006 Pamplona, Spain"],"affiliations":[{"raw_affiliation_string":"Departamento de Autom\u00e1tica y Computaci\u00f3n, Universidad P\u00fablica de Navarra, Campus de Arrosad\u0131\u0301a, 31006 Pamplona, Spain","institution_ids":["https://openalex.org/I175051016"]},{"raw_affiliation_string":"Departamento de Matem\u00e1tica e Inform\u00e1tica, Universidad P\u00fablica de Navarra, Campus de Arrosad\u0131\u0301a, 31006 Pamplona, Spain","institution_ids":["https://openalex.org/I175051016"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5066488657","display_name":"P. Burillo","orcid":null},"institutions":[{"id":"https://openalex.org/I175051016","display_name":"Universidad Publica de Navarra","ror":"https://ror.org/02z0cah89","country_code":"ES","type":"education","lineage":["https://openalex.org/I175051016"]}],"countries":["ES"],"is_corresponding":false,"raw_author_name":"Pedro Burillo","raw_affiliation_strings":["Departamento de Autom\u00e1tica y Computaci\u00f3n, Universidad P\u00fablica de Navarra, Campus de Arrosad\u0131\u0301a, 31006 Pamplona, Spain","Departamento de Matem\u00e1tica e Inform\u00e1tica, Universidad P\u00fablica de Navarra, Campus de Arrosad\u0131\u0301a, 31006 Pamplona, Spain"],"affiliations":[{"raw_affiliation_string":"Departamento de Autom\u00e1tica y Computaci\u00f3n, Universidad P\u00fablica de Navarra, Campus de Arrosad\u0131\u0301a, 31006 Pamplona, Spain","institution_ids":["https://openalex.org/I175051016"]},{"raw_affiliation_string":"Departamento de Matem\u00e1tica e Inform\u00e1tica, Universidad P\u00fablica de Navarra, Campus de Arrosad\u0131\u0301a, 31006 Pamplona, Spain","institution_ids":["https://openalex.org/I175051016"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5000245361"],"corresponding_institution_ids":["https://openalex.org/I175051016"],"apc_list":{"value":2600,"currency":"USD","value_usd":2600},"apc_paid":null,"fwci":0.4412,"has_fulltext":false,"cited_by_count":16,"citation_normalized_percentile":{"value":0.67248966,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":99},"biblio":{"volume":"139","issue":"3","first_page":"601","last_page":"613"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10050","display_name":"Multi-Criteria Decision Making","score":0.9987999796867371,"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":0.9987999796867371,"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":0.9986000061035156,"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":0.9976999759674072,"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/mathematics","display_name":"Mathematics","score":0.8116291761398315},{"id":"https://openalex.org/keywords/fuzzy-subalgebra","display_name":"Fuzzy subalgebra","score":0.705808162689209},{"id":"https://openalex.org/keywords/fuzzy-logic","display_name":"Fuzzy logic","score":0.6396758556365967},{"id":"https://openalex.org/keywords/complete-lattice","display_name":"Complete lattice","score":0.6235653758049011},{"id":"https://openalex.org/keywords/closure","display_name":"Closure (psychology)","score":0.5844687223434448},{"id":"https://openalex.org/keywords/fuzzy-classification","display_name":"Fuzzy classification","score":0.544320285320282},{"id":"https://openalex.org/keywords/fuzzy-set-operations","display_name":"Fuzzy set operations","score":0.49803590774536133},{"id":"https://openalex.org/keywords/fuzzy-number","display_name":"Fuzzy number","score":0.4727379083633423},{"id":"https://openalex.org/keywords/fuzzy-measure-theory","display_name":"Fuzzy measure theory","score":0.46850231289863586},{"id":"https://openalex.org/keywords/lattice","display_name":"Lattice (music)","score":0.451265811920166},{"id":"https://openalex.org/keywords/fuzzy-associative-matrix","display_name":"Fuzzy associative matrix","score":0.4283127784729004},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.4102047085762024},{"id":"https://openalex.org/keywords/algebra-over-a-field","display_name":"Algebra over a field","score":0.4062708616256714},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.39811185002326965},{"id":"https://openalex.org/keywords/fuzzy-set","display_name":"Fuzzy set","score":0.38260090351104736},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.12640544772148132},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.121224045753479}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.8116291761398315},{"id":"https://openalex.org/C115740575","wikidata":"https://www.wikidata.org/wiki/Q5511136","display_name":"Fuzzy subalgebra","level":5,"score":0.705808162689209},{"id":"https://openalex.org/C58166","wikidata":"https://www.wikidata.org/wiki/Q224821","display_name":"Fuzzy logic","level":2,"score":0.6396758556365967},{"id":"https://openalex.org/C201640847","wikidata":"https://www.wikidata.org/wiki/Q2362924","display_name":"Complete lattice","level":3,"score":0.6235653758049011},{"id":"https://openalex.org/C146834321","wikidata":"https://www.wikidata.org/wiki/Q2979672","display_name":"Closure (psychology)","level":2,"score":0.5844687223434448},{"id":"https://openalex.org/C127385683","wikidata":"https://www.wikidata.org/wiki/Q1475696","display_name":"Fuzzy classification","level":4,"score":0.544320285320282},{"id":"https://openalex.org/C148671577","wikidata":"https://www.wikidata.org/wiki/Q5511133","display_name":"Fuzzy set operations","level":4,"score":0.49803590774536133},{"id":"https://openalex.org/C1883856","wikidata":"https://www.wikidata.org/wiki/Q3407463","display_name":"Fuzzy number","level":4,"score":0.4727379083633423},{"id":"https://openalex.org/C100516043","wikidata":"https://www.wikidata.org/wiki/Q4455138","display_name":"Fuzzy measure theory","level":5,"score":0.46850231289863586},{"id":"https://openalex.org/C2781204021","wikidata":"https://www.wikidata.org/wiki/Q6497091","display_name":"Lattice (music)","level":2,"score":0.451265811920166},{"id":"https://openalex.org/C144170203","wikidata":"https://www.wikidata.org/wiki/Q5511099","display_name":"Fuzzy associative matrix","level":5,"score":0.4283127784729004},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.4102047085762024},{"id":"https://openalex.org/C136119220","wikidata":"https://www.wikidata.org/wiki/Q1000660","display_name":"Algebra over a field","level":2,"score":0.4062708616256714},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.39811185002326965},{"id":"https://openalex.org/C42011625","wikidata":"https://www.wikidata.org/wiki/Q1055058","display_name":"Fuzzy set","level":3,"score":0.38260090351104736},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.12640544772148132},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.121224045753479},{"id":"https://openalex.org/C183992945","wikidata":"https://www.wikidata.org/wiki/Q2495574","display_name":"Universality (dynamical systems)","level":2,"score":0.0},{"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/C24890656","wikidata":"https://www.wikidata.org/wiki/Q82811","display_name":"Acoustics","level":1,"score":0.0},{"id":"https://openalex.org/C162324750","wikidata":"https://www.wikidata.org/wiki/Q8134","display_name":"Economics","level":0,"score":0.0},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.0},{"id":"https://openalex.org/C34447519","wikidata":"https://www.wikidata.org/wiki/Q179522","display_name":"Market economy","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1016/s0165-0114(03)00070-8","is_oa":false,"landing_page_url":"https://doi.org/10.1016/s0165-0114(03)00070-8","pdf_url":null,"source":{"id":"https://openalex.org/S169411308","display_name":"Fuzzy Sets and Systems","issn_l":"0165-0114","issn":["0165-0114","1872-6801"],"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":"Fuzzy Sets and Systems","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":18,"referenced_works":["https://openalex.org/W1500907847","https://openalex.org/W1533515686","https://openalex.org/W1966321785","https://openalex.org/W1998129561","https://openalex.org/W2023278545","https://openalex.org/W2025417900","https://openalex.org/W2042176745","https://openalex.org/W2045272023","https://openalex.org/W2134309386","https://openalex.org/W2137516161","https://openalex.org/W2170301374","https://openalex.org/W2287554244","https://openalex.org/W2313227953","https://openalex.org/W2324223338","https://openalex.org/W2331720955","https://openalex.org/W2912565176","https://openalex.org/W4211007335","https://openalex.org/W4249997563"],"related_works":["https://openalex.org/W2037428035","https://openalex.org/W2803916279","https://openalex.org/W74364172","https://openalex.org/W1514480137","https://openalex.org/W2466052371","https://openalex.org/W2893993940","https://openalex.org/W2139557904","https://openalex.org/W3049648340","https://openalex.org/W2059762196","https://openalex.org/W1523857159"],"abstract_inverted_index":null,"counts_by_year":[{"year":2026,"cited_by_count":1},{"year":2017,"cited_by_count":2},{"year":2015,"cited_by_count":3},{"year":2014,"cited_by_count":1},{"year":2013,"cited_by_count":4},{"year":2012,"cited_by_count":2}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}