{"id":"https://openalex.org/W2055334450","doi":"https://doi.org/10.1002/malq.19990450408","title":"Fuzzy Galois Connections","display_name":"Fuzzy Galois Connections","publication_year":1999,"publication_date":"1999-01-01","ids":{"openalex":"https://openalex.org/W2055334450","doi":"https://doi.org/10.1002/malq.19990450408","mag":"2055334450"},"language":"en","primary_location":{"id":"doi:10.1002/malq.19990450408","is_oa":false,"landing_page_url":"https://doi.org/10.1002/malq.19990450408","pdf_url":null,"source":{"id":"https://openalex.org/S172351290","display_name":"Mathematical logic quarterly","issn_l":"0044-3050","issn":["0044-3050","0942-5616","1521-3870"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320595","host_organization_name":"Wiley","host_organization_lineage":["https://openalex.org/P4310320595"],"host_organization_lineage_names":["Wiley"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Mathematical Logic Quarterly","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/A5004391892","display_name":"Radim B\u011blohl\u00e1vek","orcid":"https://orcid.org/0000-0003-4924-3233"},"institutions":[{"id":"https://openalex.org/I142208455","display_name":"VSB - Technical University of Ostrava","ror":"https://ror.org/05x8mcb75","country_code":"CZ","type":"education","lineage":["https://openalex.org/I142208455"]},{"id":"https://openalex.org/I187293425","display_name":"University of Ostrava","ror":"https://ror.org/00pyqav47","country_code":"CZ","type":"education","lineage":["https://openalex.org/I187293425"]}],"countries":["CZ"],"is_corresponding":true,"raw_author_name":"Radim B\u00ealohl\u00e1vek","raw_affiliation_strings":["Department of Computer Science, Technical University of Ostrava, tr\u030c. 17. listopadu, CZ-708 33 Ostrava, Czech Republic","Institute for Research and Applications of Fuzzy Modeling University of Ostrava Brafova 7, CZ-701 03 Ostrava, Czech Republic","Department of Computer Science, Technical University of Ostrava, t\u0159. 17. listopadu, CZ-708 33 Ostrava, Czech Republic"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Computer Science, Technical University of Ostrava, tr\u030c. 17. listopadu, CZ-708 33 Ostrava, Czech Republic","institution_ids":["https://openalex.org/I142208455"]},{"raw_affiliation_string":"Institute for Research and Applications of Fuzzy Modeling University of Ostrava Brafova 7, CZ-701 03 Ostrava, Czech Republic","institution_ids":["https://openalex.org/I187293425"]},{"raw_affiliation_string":"Department of Computer Science, Technical University of Ostrava, t\u0159. 17. listopadu, CZ-708 33 Ostrava, Czech Republic","institution_ids":["https://openalex.org/I142208455"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5004391892"],"corresponding_institution_ids":["https://openalex.org/I142208455","https://openalex.org/I187293425"],"apc_list":{"value":2630,"currency":"USD","value_usd":2630},"apc_paid":null,"fwci":5.1308,"has_fulltext":false,"cited_by_count":313,"citation_normalized_percentile":{"value":0.95450164,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":99,"max":100},"biblio":{"volume":"45","issue":"4","first_page":"497","last_page":"504"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11063","display_name":"Rough Sets and Fuzzy 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/T11063","display_name":"Rough Sets and Fuzzy 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/T11727","display_name":"Advanced Algebra and Logic","score":0.9983000159263611,"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/T10050","display_name":"Multi-Criteria Decision Making","score":0.960099995136261,"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":0.8635039329528809},{"id":"https://openalex.org/keywords/galois-connection","display_name":"Galois connection","score":0.707184910774231},{"id":"https://openalex.org/keywords/galois-module","display_name":"Galois module","score":0.6201508641242981},{"id":"https://openalex.org/keywords/embedding-problem","display_name":"Embedding problem","score":0.6001462340354919},{"id":"https://openalex.org/keywords/fuzzy-logic","display_name":"Fuzzy logic","score":0.5682267546653748},{"id":"https://openalex.org/keywords/galois-extension","display_name":"Galois extension","score":0.5039235949516296},{"id":"https://openalex.org/keywords/galois-group","display_name":"Galois group","score":0.4852030575275421},{"id":"https://openalex.org/keywords/residuated-lattice","display_name":"Residuated lattice","score":0.47488754987716675},{"id":"https://openalex.org/keywords/fuzzy-subalgebra","display_name":"Fuzzy subalgebra","score":0.45318835973739624},{"id":"https://openalex.org/keywords/algebra-over-a-field","display_name":"Algebra over a field","score":0.4445716142654419},{"id":"https://openalex.org/keywords/fundamental-theorem-of-galois-theory","display_name":"Fundamental theorem of Galois theory","score":0.43974900245666504},{"id":"https://openalex.org/keywords/connection","display_name":"Connection (principal bundle)","score":0.41019850969314575},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.3702927827835083},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.3305893838405609},{"id":"https://openalex.org/keywords/fuzzy-number","display_name":"Fuzzy number","score":0.2762899100780487},{"id":"https://openalex.org/keywords/fuzzy-set","display_name":"Fuzzy set","score":0.27045202255249023},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.11236348748207092},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.08699843287467957}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.8635039329528809},{"id":"https://openalex.org/C2777573902","wikidata":"https://www.wikidata.org/wiki/Q1491747","display_name":"Galois connection","level":2,"score":0.707184910774231},{"id":"https://openalex.org/C145899342","wikidata":"https://www.wikidata.org/wiki/Q3427418","display_name":"Galois module","level":2,"score":0.6201508641242981},{"id":"https://openalex.org/C35435516","wikidata":"https://www.wikidata.org/wiki/Q5370016","display_name":"Embedding problem","level":3,"score":0.6001462340354919},{"id":"https://openalex.org/C58166","wikidata":"https://www.wikidata.org/wiki/Q224821","display_name":"Fuzzy logic","level":2,"score":0.5682267546653748},{"id":"https://openalex.org/C26204071","wikidata":"https://www.wikidata.org/wiki/Q2020004","display_name":"Galois extension","level":3,"score":0.5039235949516296},{"id":"https://openalex.org/C67536143","wikidata":"https://www.wikidata.org/wiki/Q730384","display_name":"Galois group","level":2,"score":0.4852030575275421},{"id":"https://openalex.org/C2781278839","wikidata":"https://www.wikidata.org/wiki/Q9462417","display_name":"Residuated lattice","level":3,"score":0.47488754987716675},{"id":"https://openalex.org/C115740575","wikidata":"https://www.wikidata.org/wiki/Q5511136","display_name":"Fuzzy subalgebra","level":5,"score":0.45318835973739624},{"id":"https://openalex.org/C136119220","wikidata":"https://www.wikidata.org/wiki/Q1000660","display_name":"Algebra over a field","level":2,"score":0.4445716142654419},{"id":"https://openalex.org/C78562435","wikidata":"https://www.wikidata.org/wiki/Q766522","display_name":"Fundamental theorem of Galois theory","level":4,"score":0.43974900245666504},{"id":"https://openalex.org/C13355873","wikidata":"https://www.wikidata.org/wiki/Q2920850","display_name":"Connection (principal bundle)","level":2,"score":0.41019850969314575},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.3702927827835083},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.3305893838405609},{"id":"https://openalex.org/C1883856","wikidata":"https://www.wikidata.org/wiki/Q3407463","display_name":"Fuzzy number","level":4,"score":0.2762899100780487},{"id":"https://openalex.org/C42011625","wikidata":"https://www.wikidata.org/wiki/Q1055058","display_name":"Fuzzy set","level":3,"score":0.27045202255249023},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.11236348748207092},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.08699843287467957},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1002/malq.19990450408","is_oa":false,"landing_page_url":"https://doi.org/10.1002/malq.19990450408","pdf_url":null,"source":{"id":"https://openalex.org/S172351290","display_name":"Mathematical logic quarterly","issn_l":"0044-3050","issn":["0044-3050","0942-5616","1521-3870"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320595","host_organization_name":"Wiley","host_organization_lineage":["https://openalex.org/P4310320595"],"host_organization_lineage_names":["Wiley"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Mathematical Logic Quarterly","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[{"display_name":"Reduced inequalities","id":"https://metadata.un.org/sdg/10","score":0.49000000953674316},{"display_name":"Peace, Justice and strong institutions","id":"https://metadata.un.org/sdg/16","score":0.4399999976158142}],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":14,"referenced_works":["https://openalex.org/W1566552629","https://openalex.org/W1851672339","https://openalex.org/W1966321785","https://openalex.org/W1988623045","https://openalex.org/W1997196510","https://openalex.org/W2018418081","https://openalex.org/W2054416947","https://openalex.org/W2092180595","https://openalex.org/W2110182592","https://openalex.org/W2912565176","https://openalex.org/W4211007335","https://openalex.org/W4213427446","https://openalex.org/W4234423219","https://openalex.org/W4243356233"],"related_works":["https://openalex.org/W2189024741","https://openalex.org/W2078989592","https://openalex.org/W2730690530","https://openalex.org/W92122087","https://openalex.org/W4376141598","https://openalex.org/W2951859821","https://openalex.org/W2174459132","https://openalex.org/W2145058725","https://openalex.org/W2134076663","https://openalex.org/W3163010346"],"abstract_inverted_index":{"Abstract":[0],"The":[1],"concept":[2],"of":[3,14,16,26,51],"Galois":[4,39,53,57],"connection":[5],"between":[6],"power":[7],"sets":[8],"is":[9,20,35,59],"generalized":[10],"from":[11],"the":[12,21,24],"point":[13],"view":[15],"fuzzy":[17,38,47,52],"logic.":[18],"Studied":[19],"case":[22],"where":[23],"structure":[25],"truth":[27],"values":[28],"forms":[29],"a":[30],"complete":[31],"residuated":[32],"lattice.":[33],"It":[34],"proved":[36],"that":[37],"connections":[40,54,58],"are":[41],"in":[42],"one\u2010to\u2010one":[43],"correspondence":[44],"with":[45],"binary":[46],"relations.":[48],"A":[49],"representation":[50],"by":[55],"(classical)":[56],"provided.":[60]},"counts_by_year":[{"year":2026,"cited_by_count":6},{"year":2025,"cited_by_count":8},{"year":2024,"cited_by_count":10},{"year":2023,"cited_by_count":12},{"year":2022,"cited_by_count":14},{"year":2021,"cited_by_count":13},{"year":2020,"cited_by_count":11},{"year":2019,"cited_by_count":10},{"year":2018,"cited_by_count":8},{"year":2017,"cited_by_count":13},{"year":2016,"cited_by_count":17},{"year":2015,"cited_by_count":16},{"year":2014,"cited_by_count":21},{"year":2013,"cited_by_count":30},{"year":2012,"cited_by_count":14}],"updated_date":"2026-07-26T07:53:14.480251","created_date":"2025-10-10T00:00:00"}