{"id":"https://openalex.org/W2919811240","doi":"https://doi.org/10.1142/s1793005719500200","title":"The Relationship Among Fuzzy Languages, Upper Sets and Fuzzy Ordered Monoids","display_name":"The Relationship Among Fuzzy Languages, Upper Sets and Fuzzy Ordered Monoids","publication_year":2019,"publication_date":"2019-03-01","ids":{"openalex":"https://openalex.org/W2919811240","doi":"https://doi.org/10.1142/s1793005719500200","mag":"2919811240"},"language":"en","primary_location":{"id":"doi:10.1142/s1793005719500200","is_oa":false,"landing_page_url":"https://doi.org/10.1142/s1793005719500200","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/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":"M. K. Dubey","raw_affiliation_strings":["Department of Applied Mathematics, Indian Institute of Technology (ISM), Dhanbad 826004, India"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Applied Mathematics, Indian Institute of Technology (ISM), Dhanbad 826004, India","institution_ids":["https://openalex.org/I189109744"]}]},{"author_position":"last","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 Applied Mathematics, Indian Institute of Technology (ISM), Dhanbad 826004, India"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Applied Mathematics, Indian Institute of Technology (ISM), Dhanbad 826004, India","institution_ids":["https://openalex.org/I189109744"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":[],"corresponding_institution_ids":["https://openalex.org/I189109744"],"apc_list":null,"apc_paid":null,"fwci":0.2022,"has_fulltext":false,"cited_by_count":3,"citation_normalized_percentile":{"value":0.51445386,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":95},"biblio":{"volume":"15","issue":"02","first_page":"361","last_page":"372"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11727","display_name":"Advanced Algebra and Logic","score":0.9998999834060669,"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":0.9998999834060669,"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":0.9979000091552734,"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/T11567","display_name":"semigroups and automata theory","score":0.9976000189781189,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/monoid","display_name":"Monoid","score":0.7307295799255371},{"id":"https://openalex.org/keywords/fuzzy-logic","display_name":"Fuzzy logic","score":0.6228274703025818},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.6037799119949341},{"id":"https://openalex.org/keywords/syntactic-monoid","display_name":"Syntactic monoid","score":0.4906062185764313},{"id":"https://openalex.org/keywords/fuzzy-set","display_name":"Fuzzy set","score":0.4697670638561249},{"id":"https://openalex.org/keywords/regular-language","display_name":"Regular language","score":0.4554464817047119},{"id":"https://openalex.org/keywords/set","display_name":"Set (abstract data type)","score":0.447032630443573},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.4256246089935303},{"id":"https://openalex.org/keywords/algebra-over-a-field","display_name":"Algebra over a field","score":0.3695232570171356},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.3443676233291626},{"id":"https://openalex.org/keywords/automaton","display_name":"Automaton","score":0.2732781171798706},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.2389245629310608},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.23356053233146667},{"id":"https://openalex.org/keywords/free-monoid","display_name":"Free monoid","score":0.15381461381912231}],"concepts":[{"id":"https://openalex.org/C206901836","wikidata":"https://www.wikidata.org/wiki/Q208237","display_name":"Monoid","level":2,"score":0.7307295799255371},{"id":"https://openalex.org/C58166","wikidata":"https://www.wikidata.org/wiki/Q224821","display_name":"Fuzzy logic","level":2,"score":0.6228274703025818},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.6037799119949341},{"id":"https://openalex.org/C119903167","wikidata":"https://www.wikidata.org/wiki/Q3321297","display_name":"Syntactic monoid","level":4,"score":0.4906062185764313},{"id":"https://openalex.org/C42011625","wikidata":"https://www.wikidata.org/wiki/Q1055058","display_name":"Fuzzy set","level":3,"score":0.4697670638561249},{"id":"https://openalex.org/C52370388","wikidata":"https://www.wikidata.org/wiki/Q752532","display_name":"Regular language","level":3,"score":0.4554464817047119},{"id":"https://openalex.org/C177264268","wikidata":"https://www.wikidata.org/wiki/Q1514741","display_name":"Set (abstract data type)","level":2,"score":0.447032630443573},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.4256246089935303},{"id":"https://openalex.org/C136119220","wikidata":"https://www.wikidata.org/wiki/Q1000660","display_name":"Algebra over a field","level":2,"score":0.3695232570171356},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.3443676233291626},{"id":"https://openalex.org/C112505250","wikidata":"https://www.wikidata.org/wiki/Q787116","display_name":"Automaton","level":2,"score":0.2732781171798706},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.2389245629310608},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.23356053233146667},{"id":"https://openalex.org/C149685015","wikidata":"https://www.wikidata.org/wiki/Q5500266","display_name":"Free monoid","level":3,"score":0.15381461381912231},{"id":"https://openalex.org/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","level":1,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1142/s1793005719500200","is_oa":false,"landing_page_url":"https://doi.org/10.1142/s1793005719500200","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:RePEc:wsi:nmncxx:v:15:y:2019:i:02:n:s1793005719500200","is_oa":false,"landing_page_url":"http://www.worldscientific.com/doi/abs/10.1142/S1793005719500200","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":[{"display_name":"Quality Education","id":"https://metadata.un.org/sdg/4","score":0.5099999904632568}],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":17,"referenced_works":["https://openalex.org/W1524035853","https://openalex.org/W1584587517","https://openalex.org/W1975547429","https://openalex.org/W1976017540","https://openalex.org/W1995026366","https://openalex.org/W1995509343","https://openalex.org/W2001115160","https://openalex.org/W2016220393","https://openalex.org/W2022473685","https://openalex.org/W2052747555","https://openalex.org/W2167954650","https://openalex.org/W2171620124","https://openalex.org/W2506954980","https://openalex.org/W4213427446","https://openalex.org/W4247645992","https://openalex.org/W4255417137","https://openalex.org/W4300491437"],"related_works":["https://openalex.org/W3161268522","https://openalex.org/W3143205136","https://openalex.org/W51936586","https://openalex.org/W2971508078","https://openalex.org/W3201418638","https://openalex.org/W2052531684","https://openalex.org/W2038387119","https://openalex.org/W4388319290","https://openalex.org/W57123064","https://openalex.org/W2014805018"],"abstract_inverted_index":{"The":[0,18],"concept":[1],"of":[2,4,20,29,42,63],"recognizability":[3,28],"a":[5,43,49],"fuzzy":[6,11,30,33,45,60],"language":[7],"by":[8,32],"crisp":[9],"deterministic":[10],"automaton":[12],"and":[13],"monoid":[14,47,62],"is":[15,24],"well":[16],"known.":[17],"purpose":[19],"the":[21,27,39,58],"present":[22],"work":[23],"to":[25],"study":[26],"languages":[31],"ordered":[34,46,61],"monoids.":[35],"We":[36],"show":[37],"that":[38],"upper":[40,65,70],"sets":[41],"given":[44],"play":[48],"nice":[50],"role":[51],"in":[52],"such":[53],"studies.":[54],"Also,":[55],"we":[56],"introduce":[57],"syntactic":[59],"an":[64],"set":[66],"which":[67],"recognizes":[68],"this":[69],"set.":[71]},"counts_by_year":[{"year":2025,"cited_by_count":1},{"year":2023,"cited_by_count":1},{"year":2021,"cited_by_count":1}],"updated_date":"2026-06-26T08:34:08.712188","created_date":"2025-10-10T00:00:00"}