{"id":"https://openalex.org/W2588575809","doi":"https://doi.org/10.1109/nafips.2016.7851592","title":"A residuated function in a class of Mealy type L-Valued finite automaton","display_name":"A residuated function in a class of Mealy type L-Valued finite automaton","publication_year":2016,"publication_date":"2016-10-01","ids":{"openalex":"https://openalex.org/W2588575809","doi":"https://doi.org/10.1109/nafips.2016.7851592","mag":"2588575809"},"language":"en","primary_location":{"id":"doi:10.1109/nafips.2016.7851592","is_oa":false,"landing_page_url":"https://doi.org/10.1109/nafips.2016.7851592","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2016 Annual Conference of the North American Fuzzy Information Processing Society (NAFIPS)","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/A5090284983","display_name":"Antonio Diego Silva Farias","orcid":"https://orcid.org/0000-0002-1222-7013"},"institutions":[{"id":"https://openalex.org/I35046152","display_name":"Universidade Federal do Rio Grande do Norte","ror":"https://ror.org/04wn09761","country_code":"BR","type":"education","lineage":["https://openalex.org/I35046152"]},{"id":"https://openalex.org/I84554738","display_name":"Universidade Federal Rural do Semi-\u00c1rido","ror":"https://ror.org/05x2svh05","country_code":"BR","type":"education","lineage":["https://openalex.org/I84554738"]}],"countries":["BR"],"is_corresponding":true,"raw_author_name":"Antonio Diego S. Farias","raw_affiliation_strings":["Department of Informatics and Applied Mathematics - DIMAp, Federal University of Rio Grande do Norte - UFRN","Universitary Campus of Pau dos Ferros, Federal Rural University of Semi-Arid - UFERSA"],"affiliations":[{"raw_affiliation_string":"Department of Informatics and Applied Mathematics - DIMAp, Federal University of Rio Grande do Norte - UFRN","institution_ids":["https://openalex.org/I35046152"]},{"raw_affiliation_string":"Universitary Campus of Pau dos Ferros, Federal Rural University of Semi-Arid - UFERSA","institution_ids":["https://openalex.org/I84554738"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5005162805","display_name":"Valdigleis S. Costa","orcid":"https://orcid.org/0000-0001-8738-5836"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Valdigleis S. Costa","raw_affiliation_strings":[],"affiliations":[]},{"author_position":"middle","author":{"id":"https://openalex.org/A5044053371","display_name":"Regivan Santiago","orcid":"https://orcid.org/0000-0002-4991-9603"},"institutions":[{"id":"https://openalex.org/I35046152","display_name":"Universidade Federal do Rio Grande do Norte","ror":"https://ror.org/04wn09761","country_code":"BR","type":"education","lineage":["https://openalex.org/I35046152"]}],"countries":["BR"],"is_corresponding":false,"raw_author_name":"Regivan H. N. Santiago","raw_affiliation_strings":["Department of Informatics and Applied Mathematics - DIMAp, Federal University of Rio Grande do Norte - UFRN"],"affiliations":[{"raw_affiliation_string":"Department of Informatics and Applied Mathematics - DIMAp, Federal University of Rio Grande do Norte - UFRN","institution_ids":["https://openalex.org/I35046152"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5004002970","display_name":"Benjam\u00edn Bedregal","orcid":"https://orcid.org/0000-0002-6757-7934"},"institutions":[{"id":"https://openalex.org/I35046152","display_name":"Universidade Federal do Rio Grande do Norte","ror":"https://ror.org/04wn09761","country_code":"BR","type":"education","lineage":["https://openalex.org/I35046152"]}],"countries":["BR"],"is_corresponding":false,"raw_author_name":"Benjamin Bedregal","raw_affiliation_strings":["Department of Informatics and Applied Mathematics - DIMAp, Federal University of Rio Grande do Norte - UFRN"],"affiliations":[{"raw_affiliation_string":"Department of Informatics and Applied Mathematics - DIMAp, Federal University of Rio Grande do Norte - UFRN","institution_ids":["https://openalex.org/I35046152"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":4,"corresponding_author_ids":["https://openalex.org/A5090284983"],"corresponding_institution_ids":["https://openalex.org/I35046152","https://openalex.org/I84554738"],"apc_list":null,"apc_paid":null,"fwci":0.3485,"has_fulltext":false,"cited_by_count":5,"citation_normalized_percentile":{"value":0.70194025,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":96},"biblio":{"volume":"16","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":0.9995999932289124,"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":0.9995999932289124,"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/T11567","display_name":"semigroups and automata theory","score":0.9980000257492065,"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/T11010","display_name":"Logic, Reasoning, and Knowledge","score":0.9922000169754028,"subfield":{"id":"https://openalex.org/subfields/1702","display_name":"Artificial Intelligence"},"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/automaton","display_name":"Automaton","score":0.6231439709663391},{"id":"https://openalex.org/keywords/deterministic-automaton","display_name":"Deterministic automaton","score":0.5662380456924438},{"id":"https://openalex.org/keywords/class","display_name":"Class (philosophy)","score":0.5616884231567383},{"id":"https://openalex.org/keywords/fuzzy-logic","display_name":"Fuzzy logic","score":0.5283801555633545},{"id":"https://openalex.org/keywords/residuated-lattice","display_name":"Residuated lattice","score":0.5164251923561096},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.5157142281532288},{"id":"https://openalex.org/keywords/minification","display_name":"Minification","score":0.49854564666748047},{"id":"https://openalex.org/keywords/fuzzy-set","display_name":"Fuzzy set","score":0.4944725036621094},{"id":"https://openalex.org/keywords/type","display_name":"Type (biology)","score":0.4886067509651184},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.48087504506111145},{"id":"https://openalex.org/keywords/reduction","display_name":"Reduction (mathematics)","score":0.45865368843078613},{"id":"https://openalex.org/keywords/set","display_name":"Set (abstract data type)","score":0.448306679725647},{"id":"https://openalex.org/keywords/operator","display_name":"Operator (biology)","score":0.43886974453926086},{"id":"https://openalex.org/keywords/theoretical-computer-science","display_name":"Theoretical computer science","score":0.39470964670181274},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.3920765221118927},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.3580397665500641},{"id":"https://openalex.org/keywords/algebra-over-a-field","display_name":"Algebra over a field","score":0.35519587993621826},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.2318541407585144},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.2207157015800476},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.21830999851226807},{"id":"https://openalex.org/keywords/programming-language","display_name":"Programming language","score":0.07838055491447449}],"concepts":[{"id":"https://openalex.org/C112505250","wikidata":"https://www.wikidata.org/wiki/Q787116","display_name":"Automaton","level":2,"score":0.6231439709663391},{"id":"https://openalex.org/C194525867","wikidata":"https://www.wikidata.org/wiki/Q5265707","display_name":"Deterministic automaton","level":3,"score":0.5662380456924438},{"id":"https://openalex.org/C2777212361","wikidata":"https://www.wikidata.org/wiki/Q5127848","display_name":"Class (philosophy)","level":2,"score":0.5616884231567383},{"id":"https://openalex.org/C58166","wikidata":"https://www.wikidata.org/wiki/Q224821","display_name":"Fuzzy logic","level":2,"score":0.5283801555633545},{"id":"https://openalex.org/C2781278839","wikidata":"https://www.wikidata.org/wiki/Q9462417","display_name":"Residuated lattice","level":3,"score":0.5164251923561096},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5157142281532288},{"id":"https://openalex.org/C147764199","wikidata":"https://www.wikidata.org/wiki/Q6865248","display_name":"Minification","level":2,"score":0.49854564666748047},{"id":"https://openalex.org/C42011625","wikidata":"https://www.wikidata.org/wiki/Q1055058","display_name":"Fuzzy set","level":3,"score":0.4944725036621094},{"id":"https://openalex.org/C2777299769","wikidata":"https://www.wikidata.org/wiki/Q3707858","display_name":"Type (biology)","level":2,"score":0.4886067509651184},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.48087504506111145},{"id":"https://openalex.org/C111335779","wikidata":"https://www.wikidata.org/wiki/Q3454686","display_name":"Reduction (mathematics)","level":2,"score":0.45865368843078613},{"id":"https://openalex.org/C177264268","wikidata":"https://www.wikidata.org/wiki/Q1514741","display_name":"Set (abstract data type)","level":2,"score":0.448306679725647},{"id":"https://openalex.org/C17020691","wikidata":"https://www.wikidata.org/wiki/Q139677","display_name":"Operator (biology)","level":5,"score":0.43886974453926086},{"id":"https://openalex.org/C80444323","wikidata":"https://www.wikidata.org/wiki/Q2878974","display_name":"Theoretical computer science","level":1,"score":0.39470964670181274},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.3920765221118927},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.3580397665500641},{"id":"https://openalex.org/C136119220","wikidata":"https://www.wikidata.org/wiki/Q1000660","display_name":"Algebra over a field","level":2,"score":0.35519587993621826},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.2318541407585144},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.2207157015800476},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.21830999851226807},{"id":"https://openalex.org/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","level":1,"score":0.07838055491447449},{"id":"https://openalex.org/C158448853","wikidata":"https://www.wikidata.org/wiki/Q425218","display_name":"Repressor","level":4,"score":0.0},{"id":"https://openalex.org/C18903297","wikidata":"https://www.wikidata.org/wiki/Q7150","display_name":"Ecology","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/C55493867","wikidata":"https://www.wikidata.org/wiki/Q7094","display_name":"Biochemistry","level":1,"score":0.0},{"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/C104317684","wikidata":"https://www.wikidata.org/wiki/Q7187","display_name":"Gene","level":2,"score":0.0},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.0},{"id":"https://openalex.org/C86803240","wikidata":"https://www.wikidata.org/wiki/Q420","display_name":"Biology","level":0,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1109/nafips.2016.7851592","is_oa":false,"landing_page_url":"https://doi.org/10.1109/nafips.2016.7851592","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2016 Annual Conference of the North American Fuzzy Information Processing Society (NAFIPS)","raw_type":"proceedings-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":37,"referenced_works":["https://openalex.org/W183731963","https://openalex.org/W645449947","https://openalex.org/W1493925387","https://openalex.org/W1569419053","https://openalex.org/W1582269801","https://openalex.org/W1597473924","https://openalex.org/W1598387104","https://openalex.org/W1972238776","https://openalex.org/W1994584977","https://openalex.org/W1999167901","https://openalex.org/W2002089154","https://openalex.org/W2003892275","https://openalex.org/W2026220857","https://openalex.org/W2053717907","https://openalex.org/W2068969130","https://openalex.org/W2075773711","https://openalex.org/W2089476904","https://openalex.org/W2126160338","https://openalex.org/W2129853986","https://openalex.org/W2141313404","https://openalex.org/W2153794097","https://openalex.org/W2171569353","https://openalex.org/W2488721800","https://openalex.org/W2912565176","https://openalex.org/W2914019270","https://openalex.org/W2915061287","https://openalex.org/W3157717457","https://openalex.org/W3200493159","https://openalex.org/W3215922478","https://openalex.org/W4254202520","https://openalex.org/W4255417137","https://openalex.org/W4302339081","https://openalex.org/W6629354890","https://openalex.org/W6650921943","https://openalex.org/W6678934100","https://openalex.org/W6722609067","https://openalex.org/W6804031711"],"related_works":["https://openalex.org/W2075835272","https://openalex.org/W2005328770","https://openalex.org/W4243666448","https://openalex.org/W2040844343","https://openalex.org/W1526546163","https://openalex.org/W1533908838","https://openalex.org/W4301038217","https://openalex.org/W3036200369","https://openalex.org/W1481655593","https://openalex.org/W2038787784"],"abstract_inverted_index":{"A":[0],"common":[1],"problem":[2],"found":[3],"in":[4],"literature":[5],"is":[6,23],"the":[7,44,55],"reduction":[8],"and":[9,52],"minimization":[10,66],"of":[11,41,46,57,65,67],"automata.":[12],"In":[13,34],"fuzzy":[14,31,47,68],"finite":[15],"automata":[16],"those":[17],"processes":[18],"are":[19],"more":[20],"complex;":[21],"it":[22],"not":[24],"always":[25],"possible":[26],"to":[27],"minimize":[28],"a":[29,39,58],"given":[30],"automaton,":[32],"M.":[33],"this":[35],"paper":[36],"we":[37,53],"define":[38],"notion":[40],"order":[42],"for":[43],"set":[45],"Mealy":[48,69],"machines":[49],"type":[50],"L-Valued":[51],"prove":[54],"existence":[56],"residuated":[59],"function":[60],"which":[61],"works":[62],"as":[63],"operator":[64],"machines.":[70]},"counts_by_year":[{"year":2023,"cited_by_count":1},{"year":2022,"cited_by_count":1},{"year":2020,"cited_by_count":2},{"year":2018,"cited_by_count":1}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}