{"id":"https://openalex.org/W3145615390","doi":"https://doi.org/10.1142/s179300572150037x","title":"On the Categories of L-Valued and Q-Valued Deterministic Fuzzy Automata","display_name":"On the Categories of L-Valued and Q-Valued Deterministic Fuzzy Automata","publication_year":2021,"publication_date":"2021-04-01","ids":{"openalex":"https://openalex.org/W3145615390","doi":"https://doi.org/10.1142/s179300572150037x","mag":"3145615390"},"language":"en","primary_location":{"id":"doi:10.1142/s179300572150037x","is_oa":false,"landing_page_url":"https://doi.org/10.1142/s179300572150037x","pdf_url":null,"source":{"id":"https://openalex.org/S135331755","display_name":"New Mathematics and Natural Computation","issn_l":"1793-0057","issn":["1793-0057","1793-7027"],"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":"New Mathematics and Natural Computation","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/A5039276291","display_name":"M. K. Dubey","orcid":"https://orcid.org/0000-0002-7466-5297"},"institutions":[{"id":"https://openalex.org/I73779912","display_name":"Manipal University Jaipur","ror":"https://ror.org/040h76494","country_code":null,"type":"education","lineage":["https://openalex.org/I73779912"]}],"countries":["IN"],"is_corresponding":true,"raw_author_name":"M. K. Dubey","raw_affiliation_strings":["Department of Mathematics and Statistics, Manipal University Jaipur, Jaipur 303007, India"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mathematics and Statistics, Manipal University Jaipur, Jaipur 303007, India","institution_ids":["https://openalex.org/I73779912"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5030396819","display_name":"S. P. Tiwari","orcid":"https://orcid.org/0000-0002-7517-107X"},"institutions":[{"id":"https://openalex.org/I189109744","display_name":"Indian Institute of Technology Dhanbad","ror":"https://ror.org/013v3cc28","country_code":"IN","type":"education","lineage":["https://openalex.org/I189109744"]}],"countries":["IN"],"is_corresponding":false,"raw_author_name":"S. P. Tiwari","raw_affiliation_strings":["Department of Mathematics and Computing, Indian Institute of Technology (ISM), Dhanbad 826004, India"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mathematics and Computing, Indian Institute of Technology (ISM), Dhanbad 826004, India","institution_ids":["https://openalex.org/I189109744"]}]},{"author_position":"last","author":{"id":null,"display_name":"J. Kavikumar","orcid":null},"institutions":[{"id":"https://openalex.org/I930072361","display_name":"Tun Hussein Onn University of Malaysia","ror":"https://ror.org/01c5wha71","country_code":"MY","type":"education","lineage":["https://openalex.org/I930072361"]}],"countries":["MY"],"is_corresponding":false,"raw_author_name":"J. Kavikumar","raw_affiliation_strings":["Department of Mathematics, Faculty of Science, Technology and Human Development, Universiti Tun Hussein Onn Malaysia, Batu Pahat, Malaysia"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mathematics, Faculty of Science, Technology and Human Development, Universiti Tun Hussein Onn Malaysia, Batu Pahat, Malaysia","institution_ids":["https://openalex.org/I930072361"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5039276291"],"corresponding_institution_ids":["https://openalex.org/I73779912"],"apc_list":null,"apc_paid":null,"fwci":0.7229,"has_fulltext":false,"cited_by_count":6,"citation_normalized_percentile":{"value":0.73811203,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":96},"biblio":{"volume":"17","issue":"03","first_page":"753","last_page":"774"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11727","display_name":"Advanced Algebra and Logic","score":1.0,"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":1.0,"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":0.9987000226974487,"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":0.9986000061035156,"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/adjunction","display_name":"Adjunction","score":0.7988226413726807},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.7722320556640625},{"id":"https://openalex.org/keywords/subcategory","display_name":"Subcategory","score":0.6491792798042297},{"id":"https://openalex.org/keywords/categorical-variable","display_name":"Categorical variable","score":0.6314311623573303},{"id":"https://openalex.org/keywords/fuzzy-logic","display_name":"Fuzzy logic","score":0.5346232056617737},{"id":"https://openalex.org/keywords/lattice","display_name":"Lattice (music)","score":0.5025756359100342},{"id":"https://openalex.org/keywords/automaton","display_name":"Automaton","score":0.49965739250183105},{"id":"https://openalex.org/keywords/nested-word","display_name":"Nested word","score":0.44620460271835327},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.4113844931125641},{"id":"https://openalex.org/keywords/automata-theory","display_name":"Automata theory","score":0.3610908091068268},{"id":"https://openalex.org/keywords/algebra-over-a-field","display_name":"Algebra over a field","score":0.34980034828186035},{"id":"https://openalex.org/keywords/quantum-finite-automata","display_name":"Quantum finite automata","score":0.31351542472839355},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.252122700214386},{"id":"https://openalex.org/keywords/theoretical-computer-science","display_name":"Theoretical computer science","score":0.1946226954460144},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.16589534282684326},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.11627641320228577}],"concepts":[{"id":"https://openalex.org/C2780580338","wikidata":"https://www.wikidata.org/wiki/Q577835","display_name":"Adjunction","level":2,"score":0.7988226413726807},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.7722320556640625},{"id":"https://openalex.org/C2780617661","wikidata":"https://www.wikidata.org/wiki/Q541563","display_name":"Subcategory","level":2,"score":0.6491792798042297},{"id":"https://openalex.org/C5274069","wikidata":"https://www.wikidata.org/wiki/Q2285707","display_name":"Categorical variable","level":2,"score":0.6314311623573303},{"id":"https://openalex.org/C58166","wikidata":"https://www.wikidata.org/wiki/Q224821","display_name":"Fuzzy logic","level":2,"score":0.5346232056617737},{"id":"https://openalex.org/C2781204021","wikidata":"https://www.wikidata.org/wiki/Q6497091","display_name":"Lattice (music)","level":2,"score":0.5025756359100342},{"id":"https://openalex.org/C112505250","wikidata":"https://www.wikidata.org/wiki/Q787116","display_name":"Automaton","level":2,"score":0.49965739250183105},{"id":"https://openalex.org/C92117001","wikidata":"https://www.wikidata.org/wiki/Q6997829","display_name":"Nested word","level":5,"score":0.44620460271835327},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.4113844931125641},{"id":"https://openalex.org/C116248031","wikidata":"https://www.wikidata.org/wiki/Q214526","display_name":"Automata theory","level":3,"score":0.3610908091068268},{"id":"https://openalex.org/C136119220","wikidata":"https://www.wikidata.org/wiki/Q1000660","display_name":"Algebra over a field","level":2,"score":0.34980034828186035},{"id":"https://openalex.org/C174327141","wikidata":"https://www.wikidata.org/wiki/Q176837","display_name":"Quantum finite automata","level":4,"score":0.31351542472839355},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.252122700214386},{"id":"https://openalex.org/C80444323","wikidata":"https://www.wikidata.org/wiki/Q2878974","display_name":"Theoretical computer science","level":1,"score":0.1946226954460144},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.16589534282684326},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.11627641320228577},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"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/C24890656","wikidata":"https://www.wikidata.org/wiki/Q82811","display_name":"Acoustics","level":1,"score":0.0}],"mesh":[],"locations_count":3,"locations":[{"id":"doi:10.1142/s179300572150037x","is_oa":false,"landing_page_url":"https://doi.org/10.1142/s179300572150037x","pdf_url":null,"source":{"id":"https://openalex.org/S135331755","display_name":"New Mathematics and Natural Computation","issn_l":"1793-0057","issn":["1793-0057","1793-7027"],"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":"New Mathematics and Natural Computation","raw_type":"journal-article"},{"id":"pmh:oai:eprints.uthm.edu.my:2817","is_oa":false,"landing_page_url":null,"pdf_url":null,"source":{"id":"https://openalex.org/S4306400770","display_name":"UTHM Institutional Repository (Universiti Tun Hussein Onn Malaysia)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I930072361","host_organization_name":"Tun Hussein Onn University of Malaysia","host_organization_lineage":["https://openalex.org/I930072361"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"acceptedVersion","is_accepted":true,"is_published":false,"raw_source_name":null,"raw_type":"Article"},{"id":"pmh:oai:RePEc:wsi:nmncxx:v:17:y:2021:i:03:n:s179300572150037x","is_oa":false,"landing_page_url":"http://www.worldscientific.com/doi/abs/10.1142/S179300572150037X","pdf_url":null,"source":{"id":"https://openalex.org/S4306401271","display_name":"RePEc: Research Papers in Economics","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I77793887","host_organization_name":"Federal Reserve Bank of St. Louis","host_organization_lineage":["https://openalex.org/I77793887"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"article"}],"best_oa_location":null,"sustainable_development_goals":[{"score":0.4699999988079071,"display_name":"Reduced inequalities","id":"https://metadata.un.org/sdg/10"}],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":39,"referenced_works":["https://openalex.org/W1502707237","https://openalex.org/W1524035853","https://openalex.org/W1527487696","https://openalex.org/W1546025443","https://openalex.org/W1548663088","https://openalex.org/W1585001580","https://openalex.org/W1848115723","https://openalex.org/W1929608480","https://openalex.org/W1964709617","https://openalex.org/W1965338471","https://openalex.org/W1971786846","https://openalex.org/W1973731665","https://openalex.org/W1975037151","https://openalex.org/W1977169713","https://openalex.org/W1981014279","https://openalex.org/W2005163919","https://openalex.org/W2016220393","https://openalex.org/W2018492626","https://openalex.org/W2019966378","https://openalex.org/W2040247099","https://openalex.org/W2050560741","https://openalex.org/W2054416947","https://openalex.org/W2061537870","https://openalex.org/W2068860517","https://openalex.org/W2069701691","https://openalex.org/W2080187126","https://openalex.org/W2083840254","https://openalex.org/W2087224014","https://openalex.org/W2089476904","https://openalex.org/W2094449416","https://openalex.org/W2096663758","https://openalex.org/W2118308324","https://openalex.org/W2135686735","https://openalex.org/W2167954650","https://openalex.org/W2171620124","https://openalex.org/W2182044576","https://openalex.org/W2291228087","https://openalex.org/W2824113479","https://openalex.org/W3014047541"],"related_works":["https://openalex.org/W2620584080","https://openalex.org/W3147849782","https://openalex.org/W3173429172","https://openalex.org/W4287239951","https://openalex.org/W3151786004","https://openalex.org/W2145058408","https://openalex.org/W4285704050","https://openalex.org/W2186605347","https://openalex.org/W2963690846","https://openalex.org/W3145615390"],"abstract_inverted_index":{"Automata":[0],"and":[1,31,43,72],"languages":[2],"have":[3],"been":[4],"studied":[5],"in":[6,46],"the":[7,20,47,67],"context":[8],"of":[9,23,41,49,51,69],"different":[10],"lattice":[11],"structures":[12],"by":[13],"several":[14],"authors.":[15],"This":[16],"paper":[17],"is":[18,56,63],"toward":[19],"categorical":[21],"study":[22],"deterministic":[24,32,52,70],"lattice-valued":[25,53,71],"([Formula:":[26,34],"see":[27,35],"text]-valued)":[28,36],"fuzzy":[29,37,54,74],"automata":[30,55],"quantale-valued":[33,73],"automata.":[38,75],"The":[39],"existence":[40],"initial":[42],"final":[44],"objects":[45],"subcategory":[48],"category":[50,68],"shown.":[57],"We":[58],"also":[59],"show":[60],"that":[61],"there":[62],"an":[64],"adjunction":[65],"between":[66]},"counts_by_year":[{"year":2025,"cited_by_count":1},{"year":2024,"cited_by_count":1},{"year":2023,"cited_by_count":2},{"year":2022,"cited_by_count":1},{"year":2021,"cited_by_count":1}],"updated_date":"2026-07-02T09:51:11.867554","created_date":"2025-10-10T00:00:00"}