{"id":"https://openalex.org/W3188582317","doi":"https://doi.org/10.1109/fuzz45933.2021.9494404","title":"On (fuzzy) closure systems in complete fuzzy lattices","display_name":"On (fuzzy) closure systems in complete fuzzy lattices","publication_year":2021,"publication_date":"2021-07-11","ids":{"openalex":"https://openalex.org/W3188582317","doi":"https://doi.org/10.1109/fuzz45933.2021.9494404","mag":"3188582317"},"language":"en","primary_location":{"id":"doi:10.1109/fuzz45933.2021.9494404","is_oa":false,"landing_page_url":"https://doi.org/10.1109/fuzz45933.2021.9494404","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2021 IEEE International Conference on Fuzzy Systems (FUZZ-IEEE)","raw_type":"proceedings-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/A5052716554","display_name":"Manuel Ojeda-Hern\u00e1ndez","orcid":"https://orcid.org/0000-0003-4785-6802"},"institutions":[{"id":"https://openalex.org/I82767444","display_name":"Universidad de M\u00e1laga","ror":"https://ror.org/036b2ww28","country_code":"ES","type":"education","lineage":["https://openalex.org/I82767444"]}],"countries":["ES"],"is_corresponding":true,"raw_author_name":"Manuel Ojeda-Hernandez","raw_affiliation_strings":["University of M\u00e1laga, M\u00e1laga, Spain"],"affiliations":[{"raw_affiliation_string":"University of M\u00e1laga, M\u00e1laga, Spain","institution_ids":["https://openalex.org/I82767444"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5063227743","display_name":"Inma P. Cabrera","orcid":"https://orcid.org/0000-0001-5129-0085"},"institutions":[{"id":"https://openalex.org/I82767444","display_name":"Universidad de M\u00e1laga","ror":"https://ror.org/036b2ww28","country_code":"ES","type":"education","lineage":["https://openalex.org/I82767444"]}],"countries":["ES"],"is_corresponding":false,"raw_author_name":"Inma P. Cabrera","raw_affiliation_strings":["University of M\u00e1laga, M\u00e1laga, Spain"],"affiliations":[{"raw_affiliation_string":"University of M\u00e1laga, M\u00e1laga, Spain","institution_ids":["https://openalex.org/I82767444"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5021844036","display_name":"Pablo Cordero","orcid":"https://orcid.org/0000-0002-5506-6467"},"institutions":[{"id":"https://openalex.org/I82767444","display_name":"Universidad de M\u00e1laga","ror":"https://ror.org/036b2ww28","country_code":"ES","type":"education","lineage":["https://openalex.org/I82767444"]}],"countries":["ES"],"is_corresponding":false,"raw_author_name":"Pablo Cordero","raw_affiliation_strings":["University of M\u00e1laga, M\u00e1laga, Spain"],"affiliations":[{"raw_affiliation_string":"University of M\u00e1laga, M\u00e1laga, Spain","institution_ids":["https://openalex.org/I82767444"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5010550710","display_name":"Emilio Mu\u00f1oz\u2010Velasco","orcid":"https://orcid.org/0000-0002-0117-4219"},"institutions":[{"id":"https://openalex.org/I82767444","display_name":"Universidad de M\u00e1laga","ror":"https://ror.org/036b2ww28","country_code":"ES","type":"education","lineage":["https://openalex.org/I82767444"]}],"countries":["ES"],"is_corresponding":false,"raw_author_name":"Emilio Munoz-Velasco","raw_affiliation_strings":["University of M\u00e1laga, M\u00e1laga, Spain"],"affiliations":[{"raw_affiliation_string":"University of M\u00e1laga, M\u00e1laga, Spain","institution_ids":["https://openalex.org/I82767444"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":4,"corresponding_author_ids":["https://openalex.org/A5052716554"],"corresponding_institution_ids":["https://openalex.org/I82767444"],"apc_list":null,"apc_paid":null,"fwci":1.1838,"has_fulltext":false,"cited_by_count":8,"citation_normalized_percentile":{"value":0.8197664,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":97},"biblio":{"volume":null,"issue":null,"first_page":"1","last_page":"6"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11727","display_name":"Advanced Algebra and Logic","score":0.9944000244140625,"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":0.9944000244140625,"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":0.9923999905586243,"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":0.9520999789237976,"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/closure","display_name":"Closure (psychology)","score":0.8273640275001526},{"id":"https://openalex.org/keywords/bijection","display_name":"Bijection","score":0.6294694542884827},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.6156627535820007},{"id":"https://openalex.org/keywords/fuzzy-logic","display_name":"Fuzzy logic","score":0.5736996531486511},{"id":"https://openalex.org/keywords/fuzzy-subalgebra","display_name":"Fuzzy subalgebra","score":0.537000834941864},{"id":"https://openalex.org/keywords/fuzzy-set","display_name":"Fuzzy set","score":0.5225307941436768},{"id":"https://openalex.org/keywords/complete-lattice","display_name":"Complete lattice","score":0.49466797709465027},{"id":"https://openalex.org/keywords/fuzzy-set-operations","display_name":"Fuzzy set operations","score":0.48509347438812256},{"id":"https://openalex.org/keywords/algebra-over-a-field","display_name":"Algebra over a field","score":0.45447051525115967},{"id":"https://openalex.org/keywords/fuzzy-classification","display_name":"Fuzzy classification","score":0.44203120470046997},{"id":"https://openalex.org/keywords/lattice","display_name":"Lattice (music)","score":0.43488359451293945},{"id":"https://openalex.org/keywords/closure-operator","display_name":"Closure operator","score":0.41149789094924927},{"id":"https://openalex.org/keywords/fuzzy-number","display_name":"Fuzzy number","score":0.4100402295589447},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.39430779218673706},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.3653751015663147},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.27926015853881836},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.19869402050971985},{"id":"https://openalex.org/keywords/closed-set","display_name":"Closed set","score":0.15568473935127258},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.057521164417266846}],"concepts":[{"id":"https://openalex.org/C146834321","wikidata":"https://www.wikidata.org/wiki/Q2979672","display_name":"Closure (psychology)","level":2,"score":0.8273640275001526},{"id":"https://openalex.org/C24424167","wikidata":"https://www.wikidata.org/wiki/Q180907","display_name":"Bijection","level":2,"score":0.6294694542884827},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.6156627535820007},{"id":"https://openalex.org/C58166","wikidata":"https://www.wikidata.org/wiki/Q224821","display_name":"Fuzzy logic","level":2,"score":0.5736996531486511},{"id":"https://openalex.org/C115740575","wikidata":"https://www.wikidata.org/wiki/Q5511136","display_name":"Fuzzy subalgebra","level":5,"score":0.537000834941864},{"id":"https://openalex.org/C42011625","wikidata":"https://www.wikidata.org/wiki/Q1055058","display_name":"Fuzzy set","level":3,"score":0.5225307941436768},{"id":"https://openalex.org/C201640847","wikidata":"https://www.wikidata.org/wiki/Q2362924","display_name":"Complete lattice","level":3,"score":0.49466797709465027},{"id":"https://openalex.org/C148671577","wikidata":"https://www.wikidata.org/wiki/Q5511133","display_name":"Fuzzy set operations","level":4,"score":0.48509347438812256},{"id":"https://openalex.org/C136119220","wikidata":"https://www.wikidata.org/wiki/Q1000660","display_name":"Algebra over a field","level":2,"score":0.45447051525115967},{"id":"https://openalex.org/C127385683","wikidata":"https://www.wikidata.org/wiki/Q1475696","display_name":"Fuzzy classification","level":4,"score":0.44203120470046997},{"id":"https://openalex.org/C2781204021","wikidata":"https://www.wikidata.org/wiki/Q6497091","display_name":"Lattice (music)","level":2,"score":0.43488359451293945},{"id":"https://openalex.org/C160771489","wikidata":"https://www.wikidata.org/wiki/Q10564851","display_name":"Closure operator","level":3,"score":0.41149789094924927},{"id":"https://openalex.org/C1883856","wikidata":"https://www.wikidata.org/wiki/Q3407463","display_name":"Fuzzy number","level":4,"score":0.4100402295589447},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.39430779218673706},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.3653751015663147},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.27926015853881836},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.19869402050971985},{"id":"https://openalex.org/C164953516","wikidata":"https://www.wikidata.org/wiki/Q320357","display_name":"Closed set","level":2,"score":0.15568473935127258},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.057521164417266846},{"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/C24890656","wikidata":"https://www.wikidata.org/wiki/Q82811","display_name":"Acoustics","level":1,"score":0.0},{"id":"https://openalex.org/C34447519","wikidata":"https://www.wikidata.org/wiki/Q179522","display_name":"Market economy","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/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1109/fuzz45933.2021.9494404","is_oa":false,"landing_page_url":"https://doi.org/10.1109/fuzz45933.2021.9494404","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2021 IEEE International Conference on Fuzzy Systems (FUZZ-IEEE)","raw_type":"proceedings-article"}],"best_oa_location":null,"sustainable_development_goals":[{"score":0.5600000023841858,"display_name":"Sustainable cities and communities","id":"https://metadata.un.org/sdg/11"}],"awards":[{"id":"https://openalex.org/G2590741972","display_name":null,"funder_award_id":"PGC2018-095869-B-I00,UMA2018-FEDERJA-001 (JA/UMA/FEDER)","funder_id":"https://openalex.org/F4320321595","funder_display_name":"Federaci\u00f3n Espa\u00f1ola de Enfermedades Raras"}],"funders":[{"id":"https://openalex.org/F4320321595","display_name":"Federaci\u00f3n Espa\u00f1ola de Enfermedades Raras","ror":"https://ror.org/0348bpk17"}],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":25,"referenced_works":["https://openalex.org/W127405698","https://openalex.org/W1597397052","https://openalex.org/W1971922025","https://openalex.org/W2036721792","https://openalex.org/W2064467184","https://openalex.org/W2070781418","https://openalex.org/W2074094129","https://openalex.org/W2102224599","https://openalex.org/W2102476898","https://openalex.org/W2110182592","https://openalex.org/W2110413446","https://openalex.org/W2118150401","https://openalex.org/W2120267501","https://openalex.org/W2120855914","https://openalex.org/W2129118740","https://openalex.org/W2158470853","https://openalex.org/W2346821971","https://openalex.org/W2497253019","https://openalex.org/W2506954980","https://openalex.org/W2526648181","https://openalex.org/W2671159796","https://openalex.org/W2963982887","https://openalex.org/W2998991441","https://openalex.org/W3094020677","https://openalex.org/W3125134298"],"related_works":["https://openalex.org/W4295727106","https://openalex.org/W2950669763","https://openalex.org/W1987943881","https://openalex.org/W1985909370","https://openalex.org/W2909948879","https://openalex.org/W1683039865","https://openalex.org/W2385589658","https://openalex.org/W2037428035","https://openalex.org/W2380970490","https://openalex.org/W2120855914"],"abstract_inverted_index":{"Two":[0],"alternative":[1],"definitions":[2],"of":[3],"closure":[4,43,47],"system":[5],"in":[6,26],"complete":[7,28,37],"fuzzy":[8,21,46,66],"lattices":[9],"are":[10],"introduced,":[11],"first":[12],"as":[13,19],"a":[14,20,27],"crisp":[15],"set":[16],"and":[17,31,45],"then":[18],"one.":[22],"It":[23],"is":[24,49,54],"valuated":[25],"Heyting":[29],"algebra":[30],"follows":[32],"the":[33,52,57,65],"classical":[34,40],"definition":[35,60],"on":[36,64],"lattices.":[38],"The":[39],"bijection":[41],"between":[42],"systems":[44],"operators":[48],"preserved.":[50],"Then,":[51],"notion":[53],"compared":[55],"with":[56],"most":[58],"used":[59],"given":[61],"by":[62],"B\u011blohl\u00e1vek":[63],"powerset":[67],"lattice.":[68]},"counts_by_year":[{"year":2024,"cited_by_count":1},{"year":2023,"cited_by_count":3},{"year":2022,"cited_by_count":3},{"year":2021,"cited_by_count":1}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}