{"id":"https://openalex.org/W4360781604","doi":"https://doi.org/10.15388/23-infor514","title":"Isomorphism Between Two Vector General Fuzzy Automata","display_name":"Isomorphism Between Two Vector General Fuzzy Automata","publication_year":2023,"publication_date":"2023-01-01","ids":{"openalex":"https://openalex.org/W4360781604","doi":"https://doi.org/10.15388/23-infor514"},"language":"en","primary_location":{"id":"doi:10.15388/23-infor514","is_oa":true,"landing_page_url":"http://dx.doi.org/10.15388/23-infor514","pdf_url":"https://informatica.vu.lt/journal/INFORMATICA/article/1289/file/pdf","source":{"id":"https://openalex.org/S57195646","display_name":"Informatica","issn_l":"0868-4952","issn":["0868-4952","1822-8844"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310318577","host_organization_name":"IOS Press","host_organization_lineage":["https://openalex.org/P4310318577"],"host_organization_lineage_names":["IOS Press"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Informatica","raw_type":"journal-article"},"type":"article","indexed_in":["crossref"],"open_access":{"is_oa":true,"oa_status":"hybrid","oa_url":"https://informatica.vu.lt/journal/INFORMATICA/article/1289/file/pdf","any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":null,"display_name":"Marzieh Shamsizadeh","orcid":"https://orcid.org/0000-0001-9320-9433"},"institutions":[{"id":"https://openalex.org/I4210109871","display_name":"Khatam University","ror":"https://ror.org/016tr2g85","country_code":"IR","type":"education","lineage":["https://openalex.org/I4210109871"]}],"countries":["IR"],"is_corresponding":false,"raw_author_name":"Marzieh Shamsizadeh","raw_affiliation_strings":["Department of Mathematics, Behbahan Khatam Alanbia University of Technology, Khouzestan, Iran"],"raw_orcid":"https://orcid.org/0000-0001-9320-9433","affiliations":[{"raw_affiliation_string":"Department of Mathematics, Behbahan Khatam Alanbia University of Technology, Khouzestan, Iran","institution_ids":["https://openalex.org/I4210109871"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5075287103","display_name":"Ehsan Movahednia","orcid":"https://orcid.org/0000-0001-6687-4198"},"institutions":[{"id":"https://openalex.org/I4210109871","display_name":"Khatam University","ror":"https://ror.org/016tr2g85","country_code":"IR","type":"education","lineage":["https://openalex.org/I4210109871"]}],"countries":["IR"],"is_corresponding":false,"raw_author_name":"Ehsan Movahednia","raw_affiliation_strings":["Department of Mathematics, Behbahan Khatam Alanbia University of Technology, Khouzestan, Iran"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mathematics, Behbahan Khatam Alanbia University of Technology, Khouzestan, Iran","institution_ids":["https://openalex.org/I4210109871"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5042326806","display_name":"Manuel De la Sen","orcid":"https://orcid.org/0000-0001-9320-9433"},"institutions":[{"id":"https://openalex.org/I169108374","display_name":"University of the Basque Country","ror":"https://ror.org/000xsnr85","country_code":"ES","type":"education","lineage":["https://openalex.org/I169108374"]}],"countries":["ES"],"is_corresponding":false,"raw_author_name":"Manuel De la Sen","raw_affiliation_strings":["Department of Electricity and Electronics, Institute of Research and Development of Processes, University of Basque Country, Campus of Leioa (Bizkaia), 48080 Bilbao, Spain"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Electricity and Electronics, Institute of Research and Development of Processes, University of Basque Country, Campus of Leioa (Bizkaia), 48080 Bilbao, Spain","institution_ids":["https://openalex.org/I169108374"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":3,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":0.1863,"has_fulltext":true,"cited_by_count":1,"citation_normalized_percentile":{"value":0.49973356,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":94},"biblio":{"volume":null,"issue":null,"first_page":"617","last_page":"633"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11727","display_name":"Advanced Algebra and Logic","score":0.9998000264167786,"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":0.9998000264167786,"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/T10820","display_name":"Fuzzy Logic and Control Systems","score":0.9991999864578247,"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"}},{"id":"https://openalex.org/T11567","display_name":"semigroups and automata theory","score":0.9933000206947327,"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/isomorphism","display_name":"Isomorphism (crystallography)","score":0.7823339700698853},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.6101497411727905},{"id":"https://openalex.org/keywords/fuzzy-logic","display_name":"Fuzzy logic","score":0.4812150299549103},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.47944536805152893},{"id":"https://openalex.org/keywords/automaton","display_name":"Automaton","score":0.44343167543411255},{"id":"https://openalex.org/keywords/b\u00fcchi-automaton","display_name":"B\u00fcchi automaton","score":0.42920437455177307},{"id":"https://openalex.org/keywords/algebra-over-a-field","display_name":"Algebra over a field","score":0.36750590801239014},{"id":"https://openalex.org/keywords/deterministic-automaton","display_name":"Deterministic automaton","score":0.34721237421035767},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.32855427265167236},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.3193356990814209},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.2731684446334839},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.26727738976478577},{"id":"https://openalex.org/keywords/theoretical-computer-science","display_name":"Theoretical computer science","score":0.21612250804901123},{"id":"https://openalex.org/keywords/finite-state-machine","display_name":"Finite-state machine","score":0.13610365986824036},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.1344701647758484}],"concepts":[{"id":"https://openalex.org/C203436722","wikidata":"https://www.wikidata.org/wiki/Q902950","display_name":"Isomorphism (crystallography)","level":3,"score":0.7823339700698853},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.6101497411727905},{"id":"https://openalex.org/C58166","wikidata":"https://www.wikidata.org/wiki/Q224821","display_name":"Fuzzy logic","level":2,"score":0.4812150299549103},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.47944536805152893},{"id":"https://openalex.org/C112505250","wikidata":"https://www.wikidata.org/wiki/Q787116","display_name":"Automaton","level":2,"score":0.44343167543411255},{"id":"https://openalex.org/C165753454","wikidata":"https://www.wikidata.org/wiki/Q1020380","display_name":"B\u00fcchi automaton","level":4,"score":0.42920437455177307},{"id":"https://openalex.org/C136119220","wikidata":"https://www.wikidata.org/wiki/Q1000660","display_name":"Algebra over a field","level":2,"score":0.36750590801239014},{"id":"https://openalex.org/C194525867","wikidata":"https://www.wikidata.org/wiki/Q5265707","display_name":"Deterministic automaton","level":3,"score":0.34721237421035767},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.32855427265167236},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.3193356990814209},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.2731684446334839},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.26727738976478577},{"id":"https://openalex.org/C80444323","wikidata":"https://www.wikidata.org/wiki/Q2878974","display_name":"Theoretical computer science","level":1,"score":0.21612250804901123},{"id":"https://openalex.org/C167822520","wikidata":"https://www.wikidata.org/wiki/Q176452","display_name":"Finite-state machine","level":2,"score":0.13610365986824036},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.1344701647758484},{"id":"https://openalex.org/C115624301","wikidata":"https://www.wikidata.org/wiki/Q895901","display_name":"Crystal structure","level":2,"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/C8010536","wikidata":"https://www.wikidata.org/wiki/Q160398","display_name":"Crystallography","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.15388/23-infor514","is_oa":true,"landing_page_url":"http://dx.doi.org/10.15388/23-infor514","pdf_url":"https://informatica.vu.lt/journal/INFORMATICA/article/1289/file/pdf","source":{"id":"https://openalex.org/S57195646","display_name":"Informatica","issn_l":"0868-4952","issn":["0868-4952","1822-8844"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310318577","host_organization_name":"IOS Press","host_organization_lineage":["https://openalex.org/P4310318577"],"host_organization_lineage_names":["IOS Press"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Informatica","raw_type":"journal-article"}],"best_oa_location":{"id":"doi:10.15388/23-infor514","is_oa":true,"landing_page_url":"http://dx.doi.org/10.15388/23-infor514","pdf_url":"https://informatica.vu.lt/journal/INFORMATICA/article/1289/file/pdf","source":{"id":"https://openalex.org/S57195646","display_name":"Informatica","issn_l":"0868-4952","issn":["0868-4952","1822-8844"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310318577","host_organization_name":"IOS Press","host_organization_lineage":["https://openalex.org/P4310318577"],"host_organization_lineage_names":["IOS Press"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Informatica","raw_type":"journal-article"},"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":true},"content_urls":{"pdf":"https://content.openalex.org/works/W4360781604.pdf"},"referenced_works_count":26,"referenced_works":["https://openalex.org/W607427833","https://openalex.org/W1570445666","https://openalex.org/W1597473924","https://openalex.org/W1969329577","https://openalex.org/W1988776160","https://openalex.org/W1993407728","https://openalex.org/W2017548357","https://openalex.org/W2030578356","https://openalex.org/W2070689338","https://openalex.org/W2071030542","https://openalex.org/W2114023718","https://openalex.org/W2124325155","https://openalex.org/W2129577914","https://openalex.org/W2276266448","https://openalex.org/W2429819450","https://openalex.org/W2602515639","https://openalex.org/W2890791359","https://openalex.org/W2921471272","https://openalex.org/W2963622617","https://openalex.org/W3146215656","https://openalex.org/W4200019305","https://openalex.org/W4213325304","https://openalex.org/W4220843158","https://openalex.org/W4223487158","https://openalex.org/W4293542443","https://openalex.org/W4300972005"],"related_works":["https://openalex.org/W3135656023","https://openalex.org/W186350370","https://openalex.org/W2980590076","https://openalex.org/W2040844343","https://openalex.org/W4243666448","https://openalex.org/W1533908838","https://openalex.org/W1604615473","https://openalex.org/W2145225595","https://openalex.org/W2252455711","https://openalex.org/W2573882791"],"abstract_inverted_index":{"In":[0],"this":[1,18],"paper,":[2],"at":[3],"first,":[4],"we":[5,16,26,51],"define":[6],"the":[7,28],"notion":[8],"of":[9,30],"general":[10,21,33],"fuzzy":[11,22,34],"automaton":[12,19,23],"over":[13],"a":[14],"field;":[15],"call":[17],"vector":[20,32],"(VGFA).":[24],"Moreover,":[25],"present":[27],"concept":[29],"max-min":[31,41],"automaton.":[35],"We":[36],"show":[37],"that":[38,53],"if":[39,54],"two":[40,55],"VGFA":[42,56],"are":[43,64,76],"similar,":[44],"they":[45,63],"constitute":[46,57],"an":[47,58],"isomorphism.":[48],"After":[49],"that,":[50],"prove":[52],"isomorphism":[59],"with":[60,66],"threshold":[61,67],"\u03b1,":[62,68],"equivalent":[65],"where":[69],"$\\alpha":[70],"\\in":[71],"[0,1]$.":[72],"Also,":[73],"some":[74],"examples":[75],"given":[77],"to":[78],"clarify":[79],"these":[80],"new":[81],"notions.":[82]},"counts_by_year":[{"year":2023,"cited_by_count":1}],"updated_date":"2026-06-11T09:08:48.828518","created_date":"2025-10-10T00:00:00"}