{"id":"https://openalex.org/W2960974822","doi":"https://doi.org/10.1109/access.2019.2928051","title":"Linguistic Reasoning Petri Nets Using q-Rung Orthopair Fuzzy Linguistic Sets and Weighted Ordered Weighted Averaging Operators","display_name":"Linguistic Reasoning Petri Nets Using q-Rung Orthopair Fuzzy Linguistic Sets and Weighted Ordered Weighted Averaging Operators","publication_year":2019,"publication_date":"2019-01-01","ids":{"openalex":"https://openalex.org/W2960974822","doi":"https://doi.org/10.1109/access.2019.2928051","mag":"2960974822"},"language":"en","primary_location":{"id":"doi:10.1109/access.2019.2928051","is_oa":true,"landing_page_url":"https://doi.org/10.1109/access.2019.2928051","pdf_url":"https://ieeexplore.ieee.org/ielx7/6287639/8600701/08759858.pdf","source":{"id":"https://openalex.org/S2485537415","display_name":"IEEE Access","issn_l":"2169-3536","issn":["2169-3536"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310319808","host_organization_name":"Institute of Electrical and Electronics Engineers","host_organization_lineage":["https://openalex.org/P4310319808"],"host_organization_lineage_names":["Institute of Electrical and Electronics Engineers"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"IEEE Access","raw_type":"journal-article"},"type":"article","indexed_in":["crossref","doaj"],"open_access":{"is_oa":true,"oa_status":"gold","oa_url":"https://ieeexplore.ieee.org/ielx7/6287639/8600701/08759858.pdf","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5091453895","display_name":"Kaiyuan Bai","orcid":"https://orcid.org/0000-0002-2344-3627"},"institutions":[{"id":"https://openalex.org/I21193070","display_name":"Beijing Jiaotong University","ror":"https://ror.org/01yj56c84","country_code":"CN","type":"education","lineage":["https://openalex.org/I21193070"]}],"countries":["CN"],"is_corresponding":true,"raw_author_name":"Kaiyuan Bai","raw_affiliation_strings":["School of Mechanical, Electronic, and Control Engineering, Beijing Jiaotong University, Beijing, China"],"raw_orcid":"https://orcid.org/0000-0002-2344-3627","affiliations":[{"raw_affiliation_string":"School of Mechanical, Electronic, and Control Engineering, Beijing Jiaotong University, Beijing, China","institution_ids":["https://openalex.org/I21193070"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5070410962","display_name":"Xiaomin Zhu","orcid":"https://orcid.org/0000-0002-5199-0062"},"institutions":[{"id":"https://openalex.org/I21193070","display_name":"Beijing Jiaotong University","ror":"https://ror.org/01yj56c84","country_code":"CN","type":"education","lineage":["https://openalex.org/I21193070"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Xiaomin Zhu","raw_affiliation_strings":["School of Mechanical, Electronic, and Control Engineering, Beijing Jiaotong University, Beijing, China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"School of Mechanical, Electronic, and Control Engineering, Beijing Jiaotong University, Beijing, China","institution_ids":["https://openalex.org/I21193070"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5008891083","display_name":"Runtong Zhang","orcid":"https://orcid.org/0000-0003-0246-5058"},"institutions":[{"id":"https://openalex.org/I21193070","display_name":"Beijing Jiaotong University","ror":"https://ror.org/01yj56c84","country_code":"CN","type":"education","lineage":["https://openalex.org/I21193070"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Runtong Zhang","raw_affiliation_strings":["School of Economics and Management, Beijing Jiaotong University, Beijing, China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"School of Economics and Management, Beijing Jiaotong University, Beijing, China","institution_ids":["https://openalex.org/I21193070"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5066848926","display_name":"Jinsheng Gao","orcid":"https://orcid.org/0000-0002-7959-7676"},"institutions":[{"id":"https://openalex.org/I21193070","display_name":"Beijing Jiaotong University","ror":"https://ror.org/01yj56c84","country_code":"CN","type":"education","lineage":["https://openalex.org/I21193070"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Jinsheng Gao","raw_affiliation_strings":["School of Mechanical, Electronic, and Control Engineering, Beijing Jiaotong University, Beijing, China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"School of Mechanical, Electronic, and Control Engineering, Beijing Jiaotong University, Beijing, China","institution_ids":["https://openalex.org/I21193070"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":4,"corresponding_author_ids":["https://openalex.org/A5091453895"],"corresponding_institution_ids":["https://openalex.org/I21193070"],"apc_list":{"value":1850,"currency":"USD","value_usd":1850},"apc_paid":{"value":1850,"currency":"USD","value_usd":1850},"fwci":0.6173,"has_fulltext":true,"cited_by_count":7,"citation_normalized_percentile":{"value":0.73040332,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":98},"biblio":{"volume":"7","issue":null,"first_page":"103167","last_page":"103183"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10050","display_name":"Multi-Criteria Decision Making","score":0.9930999875068665,"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"}},"topics":[{"id":"https://openalex.org/T10050","display_name":"Multi-Criteria Decision Making","score":0.9930999875068665,"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/T11063","display_name":"Rough Sets and Fuzzy Logic","score":0.9922000169754028,"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/T13062","display_name":"Cognitive Computing and Networks","score":0.9909999966621399,"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/fuzzy-logic","display_name":"Fuzzy logic","score":0.5736688375473022},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.5534468293190002},{"id":"https://openalex.org/keywords/operator","display_name":"Operator (biology)","score":0.527404248714447},{"id":"https://openalex.org/keywords/set","display_name":"Set (abstract data type)","score":0.5050414204597473},{"id":"https://openalex.org/keywords/fuzzy-set","display_name":"Fuzzy set","score":0.4907701909542084},{"id":"https://openalex.org/keywords/idempotence","display_name":"Idempotence","score":0.479262113571167},{"id":"https://openalex.org/keywords/monotonic-function","display_name":"Monotonic function","score":0.4776100814342499},{"id":"https://openalex.org/keywords/representation","display_name":"Representation (politics)","score":0.4693240523338318},{"id":"https://openalex.org/keywords/knowledge-representation-and-reasoning","display_name":"Knowledge representation and reasoning","score":0.44933411478996277},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.42640742659568787},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.41325467824935913},{"id":"https://openalex.org/keywords/linguistics","display_name":"Linguistics","score":0.35979634523391724},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.19397714734077454},{"id":"https://openalex.org/keywords/programming-language","display_name":"Programming language","score":0.0768272876739502}],"concepts":[{"id":"https://openalex.org/C58166","wikidata":"https://www.wikidata.org/wiki/Q224821","display_name":"Fuzzy logic","level":2,"score":0.5736688375473022},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.5534468293190002},{"id":"https://openalex.org/C17020691","wikidata":"https://www.wikidata.org/wiki/Q139677","display_name":"Operator (biology)","level":5,"score":0.527404248714447},{"id":"https://openalex.org/C177264268","wikidata":"https://www.wikidata.org/wiki/Q1514741","display_name":"Set (abstract data type)","level":2,"score":0.5050414204597473},{"id":"https://openalex.org/C42011625","wikidata":"https://www.wikidata.org/wiki/Q1055058","display_name":"Fuzzy set","level":3,"score":0.4907701909542084},{"id":"https://openalex.org/C172252984","wikidata":"https://www.wikidata.org/wiki/Q368988","display_name":"Idempotence","level":2,"score":0.479262113571167},{"id":"https://openalex.org/C72169020","wikidata":"https://www.wikidata.org/wiki/Q194404","display_name":"Monotonic function","level":2,"score":0.4776100814342499},{"id":"https://openalex.org/C2776359362","wikidata":"https://www.wikidata.org/wiki/Q2145286","display_name":"Representation (politics)","level":3,"score":0.4693240523338318},{"id":"https://openalex.org/C161301231","wikidata":"https://www.wikidata.org/wiki/Q3478658","display_name":"Knowledge representation and reasoning","level":2,"score":0.44933411478996277},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.42640742659568787},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.41325467824935913},{"id":"https://openalex.org/C41895202","wikidata":"https://www.wikidata.org/wiki/Q8162","display_name":"Linguistics","level":1,"score":0.35979634523391724},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.19397714734077454},{"id":"https://openalex.org/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","level":1,"score":0.0768272876739502},{"id":"https://openalex.org/C104317684","wikidata":"https://www.wikidata.org/wiki/Q7187","display_name":"Gene","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/C158448853","wikidata":"https://www.wikidata.org/wiki/Q425218","display_name":"Repressor","level":4,"score":0.0},{"id":"https://openalex.org/C17744445","wikidata":"https://www.wikidata.org/wiki/Q36442","display_name":"Political science","level":0,"score":0.0},{"id":"https://openalex.org/C138885662","wikidata":"https://www.wikidata.org/wiki/Q5891","display_name":"Philosophy","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/C199539241","wikidata":"https://www.wikidata.org/wiki/Q7748","display_name":"Law","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/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.0},{"id":"https://openalex.org/C94625758","wikidata":"https://www.wikidata.org/wiki/Q7163","display_name":"Politics","level":2,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1109/access.2019.2928051","is_oa":true,"landing_page_url":"https://doi.org/10.1109/access.2019.2928051","pdf_url":"https://ieeexplore.ieee.org/ielx7/6287639/8600701/08759858.pdf","source":{"id":"https://openalex.org/S2485537415","display_name":"IEEE Access","issn_l":"2169-3536","issn":["2169-3536"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310319808","host_organization_name":"Institute of Electrical and Electronics Engineers","host_organization_lineage":["https://openalex.org/P4310319808"],"host_organization_lineage_names":["Institute of Electrical and Electronics Engineers"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"IEEE Access","raw_type":"journal-article"},{"id":"pmh:oai:doaj.org/article:52ddaa3df6e24698b3b6bdbfcc8b9b11","is_oa":true,"landing_page_url":"https://doaj.org/article/52ddaa3df6e24698b3b6bdbfcc8b9b11","pdf_url":null,"source":{"id":"https://openalex.org/S4306401280","display_name":"DOAJ (DOAJ: Directory of Open Access Journals)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"repository"},"license":"cc-by-sa","license_id":"https://openalex.org/licenses/cc-by-sa","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"IEEE Access, Vol 7, Pp 103167-103183 (2019)","raw_type":"article"}],"best_oa_location":{"id":"doi:10.1109/access.2019.2928051","is_oa":true,"landing_page_url":"https://doi.org/10.1109/access.2019.2928051","pdf_url":"https://ieeexplore.ieee.org/ielx7/6287639/8600701/08759858.pdf","source":{"id":"https://openalex.org/S2485537415","display_name":"IEEE Access","issn_l":"2169-3536","issn":["2169-3536"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310319808","host_organization_name":"Institute of Electrical and Electronics Engineers","host_organization_lineage":["https://openalex.org/P4310319808"],"host_organization_lineage_names":["Institute of Electrical and Electronics Engineers"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"IEEE Access","raw_type":"journal-article"},"sustainable_development_goals":[{"score":0.4099999964237213,"display_name":"Quality Education","id":"https://metadata.un.org/sdg/4"}],"awards":[{"id":"https://openalex.org/G145073829","display_name":null,"funder_award_id":"18ZDA086","funder_id":"https://openalex.org/F4320335869","funder_display_name":"National Social Science Fund of China"},{"id":"https://openalex.org/G2152698108","display_name":null,"funder_award_id":"18ZDA086","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G3376678438","display_name":null,"funder_award_id":"71532002","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"}],"funders":[{"id":"https://openalex.org/F4320321001","display_name":"National Natural Science Foundation of China","ror":"https://ror.org/01h0zpd94"},{"id":"https://openalex.org/F4320335869","display_name":"National Social Science Fund of China","ror":null}],"has_content":{"pdf":true,"grobid_xml":true},"content_urls":{"pdf":"https://content.openalex.org/works/W2960974822.pdf","grobid_xml":"https://content.openalex.org/works/W2960974822.grobid-xml"},"referenced_works_count":53,"referenced_works":["https://openalex.org/W315101999","https://openalex.org/W1724114674","https://openalex.org/W1971403896","https://openalex.org/W1972940470","https://openalex.org/W1990949233","https://openalex.org/W1995459276","https://openalex.org/W1995682285","https://openalex.org/W1997103167","https://openalex.org/W2010011966","https://openalex.org/W2013013496","https://openalex.org/W2022069994","https://openalex.org/W2028024423","https://openalex.org/W2031950024","https://openalex.org/W2034677901","https://openalex.org/W2043444342","https://openalex.org/W2043902857","https://openalex.org/W2054475422","https://openalex.org/W2066298895","https://openalex.org/W2069849383","https://openalex.org/W2071893747","https://openalex.org/W2081754091","https://openalex.org/W2087991154","https://openalex.org/W2091697659","https://openalex.org/W2093383156","https://openalex.org/W2125843991","https://openalex.org/W2134234758","https://openalex.org/W2156742897","https://openalex.org/W2157041604","https://openalex.org/W2158181749","https://openalex.org/W2161464089","https://openalex.org/W2167510151","https://openalex.org/W2189159367","https://openalex.org/W2288102304","https://openalex.org/W2313407367","https://openalex.org/W2392185439","https://openalex.org/W2414755126","https://openalex.org/W2462599231","https://openalex.org/W2514754342","https://openalex.org/W2562831529","https://openalex.org/W2580382314","https://openalex.org/W2766843420","https://openalex.org/W2771143570","https://openalex.org/W2785947117","https://openalex.org/W2899474741","https://openalex.org/W2901794282","https://openalex.org/W2910707782","https://openalex.org/W2913381099","https://openalex.org/W2940928533","https://openalex.org/W2960141790","https://openalex.org/W4245152641","https://openalex.org/W4386840983","https://openalex.org/W6637651984","https://openalex.org/W6765686370"],"related_works":["https://openalex.org/W1594270709","https://openalex.org/W2077314575","https://openalex.org/W4315701745","https://openalex.org/W1990290471","https://openalex.org/W4380682190","https://openalex.org/W2005710836","https://openalex.org/W2102386043","https://openalex.org/W2362786832","https://openalex.org/W2945307361","https://openalex.org/W1987764909"],"abstract_inverted_index":{"Fuzzy":[0],"Petri":[1,123],"nets":[2,124],"(FPNs)":[3],"are":[4,220],"an":[5,186],"important":[6],"tool":[7],"for":[8,230],"knowledge":[9,60],"representation":[10,61],"and":[11,22,38,71,95,110,146,168,207,211,215,240],"reasoning":[12,85,89,104,122,171,188],"in":[13,34,63,87,142],"the":[14,42,48,56,59,65,84,92,103,107,117,128,137,166,180,202,212,218,238,243],"rule-based":[15],"expert":[16],"system.":[17],"Recently,":[18],"various":[19],"fuzzy":[20,120,131,145],"sets":[21,133],"linguistic":[23,39,69,78,121,132,147,158,181],"models":[24,45],"have":[25,47],"been":[26],"introduced":[27],"into":[28],"FPNs":[29,141],"to":[30,101,135,236],"improve":[31],"its":[32],"ability":[33],"handling":[35],"imprecise,":[36],"fuzzy,":[37],"information.":[40],"However,":[41],"existing":[43,88],"FPN":[44],"still":[46],"following":[49],"two":[50],"deficiencies:":[51],"The":[52],"first":[53],"one":[54,81],"is":[55,82,198,234],"incompatibility":[57],"of":[58,68,73,98,139,155,170,179,204,217,242],"parameters":[62],"modeling":[64],"membership":[66],"degrees":[67],"variables":[70],"hesitancy":[72],"experts":[74,76],"when":[75],"provide":[77],"evaluations.":[79],"Another":[80],"that":[83],"operators":[86],"algorithm":[90,189],"considering":[91,201],"local":[93],"weights":[94,97,203],"ordered":[96,193,209],"propositions":[99,205],"fail":[100],"guarantee":[102,165],"result":[105],"satisfies":[106],"monotonicity,":[108,213],"boundary,":[109,214],"idempotency.":[111],"In":[112,184],"this":[113],"paper,":[114],"we":[115],"propose":[116],"q-rung":[118,129],"orthopair":[119,130],"(q-ROFLRPNs)":[125],"by":[126,157,200],"using":[127],"(q-ROFLSs)":[134],"enhance":[136],"capability":[138],"conventional":[140],"dealing":[143],"with":[144],"knowledge.":[148],"We":[149],"define":[150],"new":[151],"closed":[152],"operational":[153],"laws":[154],"q-ROFLSs":[156],"scale":[159],"functions":[160],"(LSFs),":[161],"which":[162],"not":[163],"only":[164],"validity":[167],"reliability":[169],"results":[172,219],"but":[173],"also":[174],"handle":[175],"different":[176],"semantic":[177],"situations":[178],"term":[182],"set.":[183],"addition,":[185],"enhanced":[187],"based":[190],"on":[191,227],"weighted":[192,194],"averaging":[195],"(WOWA)":[196],"operator":[197],"proposed":[199,244],"themselves":[206],"their":[208],"weights,":[210],"idempotency":[216],"satisfied.":[221],"At":[222],"last,":[223],"a":[224],"case":[225],"study":[226],"fault":[228],"diagnosis":[229],"metro":[231],"door":[232],"system":[233],"provided":[235],"demonstrate":[237],"effectiveness":[239],"advantages":[241],"model.":[245]},"counts_by_year":[{"year":2026,"cited_by_count":1},{"year":2023,"cited_by_count":3},{"year":2021,"cited_by_count":1},{"year":2020,"cited_by_count":2}],"updated_date":"2026-05-06T08:25:59.206177","created_date":"2025-10-10T00:00:00"}