{"id":"https://openalex.org/W2168012076","doi":"https://doi.org/10.1109/tkde.2003.1185845","title":"Fuzzy rule base systems verification using high-level petri nets","display_name":"Fuzzy rule base systems verification using high-level petri nets","publication_year":2003,"publication_date":"2003-03-01","ids":{"openalex":"https://openalex.org/W2168012076","doi":"https://doi.org/10.1109/tkde.2003.1185845","mag":"2168012076"},"language":"en","primary_location":{"id":"doi:10.1109/tkde.2003.1185845","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tkde.2003.1185845","pdf_url":null,"source":{"id":"https://openalex.org/S30698027","display_name":"IEEE Transactions on Knowledge and Data Engineering","issn_l":"1041-4347","issn":["1041-4347","1558-2191","2326-3865"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320439","host_organization_name":"IEEE Computer Society","host_organization_lineage":["https://openalex.org/P4310320439","https://openalex.org/P4310319808"],"host_organization_lineage_names":["IEEE Computer Society","Institute of Electrical and Electronics Engineers"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"IEEE Transactions on Knowledge and Data Engineering","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/A5039275245","display_name":"Stephen J.H. Yang","orcid":"https://orcid.org/0000-0003-1059-620X"},"institutions":[{"id":"https://openalex.org/I109289231","display_name":"National Kaohsiung First University of Science and Technology","ror":"https://ror.org/03858r716","country_code":"TW","type":"education","lineage":["https://openalex.org/I109289231"]}],"countries":["TW"],"is_corresponding":true,"raw_author_name":"S.J.H. Yang","raw_affiliation_strings":["Department of Computer and Communication Engineering, National Kaohsiung First University of Science and Technology, Kaohsiung, Taiwan"],"affiliations":[{"raw_affiliation_string":"Department of Computer and Communication Engineering, National Kaohsiung First University of Science and Technology, Kaohsiung, Taiwan","institution_ids":["https://openalex.org/I109289231"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5018669587","display_name":"Jeffrey J. P. Tsai","orcid":"https://orcid.org/0000-0003-0473-5170"},"institutions":[{"id":"https://openalex.org/I39422238","display_name":"University of Illinois Chicago","ror":"https://ror.org/02mpq6x41","country_code":"US","type":"education","lineage":["https://openalex.org/I39422238"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"J.J.P. Tsai","raw_affiliation_strings":["Department of Electrical Engineering and Computer Science, University of Illinois, Chicago, IL, USA"],"affiliations":[{"raw_affiliation_string":"Department of Electrical Engineering and Computer Science, University of Illinois, Chicago, IL, USA","institution_ids":["https://openalex.org/I39422238"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5038221371","display_name":"Chyun-Chyi Chen","orcid":"https://orcid.org/0000-0002-2648-0597"},"institutions":[{"id":"https://openalex.org/I22265921","display_name":"National Central University","ror":"https://ror.org/00944ve71","country_code":"TW","type":"education","lineage":["https://openalex.org/I22265921"]}],"countries":["TW"],"is_corresponding":false,"raw_author_name":"Chyun-Chyi Chen","raw_affiliation_strings":["Department of Computer Science and Information Engineering, National Central University, Chungli, Taiwan"],"affiliations":[{"raw_affiliation_string":"Department of Computer Science and Information Engineering, National Central University, Chungli, Taiwan","institution_ids":["https://openalex.org/I22265921"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5039275245"],"corresponding_institution_ids":["https://openalex.org/I109289231"],"apc_list":null,"apc_paid":null,"fwci":1.7725,"has_fulltext":false,"cited_by_count":61,"citation_normalized_percentile":{"value":0.85832025,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":99},"biblio":{"volume":"15","issue":"2","first_page":"457","last_page":"473"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11125","display_name":"Petri Nets in System Modeling","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/T11125","display_name":"Petri Nets in System Modeling","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/T10703","display_name":"Business Process Modeling and Analysis","score":0.995199978351593,"subfield":{"id":"https://openalex.org/subfields/1404","display_name":"Management Information Systems"},"field":{"id":"https://openalex.org/fields/14","display_name":"Business, Management and Accounting"},"domain":{"id":"https://openalex.org/domains/2","display_name":"Social Sciences"}},{"id":"https://openalex.org/T10142","display_name":"Formal Methods in Verification","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/petri-net","display_name":"Petri net","score":0.8250787258148193},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.7289403676986694},{"id":"https://openalex.org/keywords/process-architecture","display_name":"Process architecture","score":0.5584974884986877},{"id":"https://openalex.org/keywords/stochastic-petri-net","display_name":"Stochastic Petri net","score":0.5218464136123657},{"id":"https://openalex.org/keywords/theoretical-computer-science","display_name":"Theoretical computer science","score":0.5026390552520752},{"id":"https://openalex.org/keywords/fuzzy-rule","display_name":"Fuzzy rule","score":0.4722772538661957},{"id":"https://openalex.org/keywords/fuzzy-logic","display_name":"Fuzzy logic","score":0.4619048237800598},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.40119674801826477},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.35612624883651733},{"id":"https://openalex.org/keywords/fuzzy-set","display_name":"Fuzzy set","score":0.33216845989227295}],"concepts":[{"id":"https://openalex.org/C38677869","wikidata":"https://www.wikidata.org/wiki/Q724168","display_name":"Petri net","level":2,"score":0.8250787258148193},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.7289403676986694},{"id":"https://openalex.org/C136155141","wikidata":"https://www.wikidata.org/wiki/Q7247260","display_name":"Process architecture","level":3,"score":0.5584974884986877},{"id":"https://openalex.org/C197551870","wikidata":"https://www.wikidata.org/wiki/Q7617809","display_name":"Stochastic Petri net","level":3,"score":0.5218464136123657},{"id":"https://openalex.org/C80444323","wikidata":"https://www.wikidata.org/wiki/Q2878974","display_name":"Theoretical computer science","level":1,"score":0.5026390552520752},{"id":"https://openalex.org/C2780049643","wikidata":"https://www.wikidata.org/wiki/Q5511139","display_name":"Fuzzy rule","level":4,"score":0.4722772538661957},{"id":"https://openalex.org/C58166","wikidata":"https://www.wikidata.org/wiki/Q224821","display_name":"Fuzzy logic","level":2,"score":0.4619048237800598},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.40119674801826477},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.35612624883651733},{"id":"https://openalex.org/C42011625","wikidata":"https://www.wikidata.org/wiki/Q1055058","display_name":"Fuzzy set","level":3,"score":0.33216845989227295}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1109/tkde.2003.1185845","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tkde.2003.1185845","pdf_url":null,"source":{"id":"https://openalex.org/S30698027","display_name":"IEEE Transactions on Knowledge and Data Engineering","issn_l":"1041-4347","issn":["1041-4347","1558-2191","2326-3865"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320439","host_organization_name":"IEEE Computer Society","host_organization_lineage":["https://openalex.org/P4310320439","https://openalex.org/P4310319808"],"host_organization_lineage_names":["IEEE Computer Society","Institute of Electrical and Electronics Engineers"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"IEEE Transactions on Knowledge and Data Engineering","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[{"display_name":"Peace, Justice and strong institutions","score":0.6200000047683716,"id":"https://metadata.un.org/sdg/16"}],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":43,"referenced_works":["https://openalex.org/W1531808999","https://openalex.org/W1572660965","https://openalex.org/W1830870749","https://openalex.org/W1873450072","https://openalex.org/W1873836538","https://openalex.org/W1877938688","https://openalex.org/W1964771262","https://openalex.org/W1970640201","https://openalex.org/W1983261114","https://openalex.org/W1988899410","https://openalex.org/W1996109622","https://openalex.org/W2009436136","https://openalex.org/W2053437424","https://openalex.org/W2069849383","https://openalex.org/W2079879465","https://openalex.org/W2099767492","https://openalex.org/W2102389036","https://openalex.org/W2111037902","https://openalex.org/W2119180912","https://openalex.org/W2124783249","https://openalex.org/W2126996806","https://openalex.org/W2129918897","https://openalex.org/W2131423065","https://openalex.org/W2134028041","https://openalex.org/W2134472950","https://openalex.org/W2138352609","https://openalex.org/W2139756789","https://openalex.org/W2142763728","https://openalex.org/W2145287593","https://openalex.org/W2150042673","https://openalex.org/W2150278707","https://openalex.org/W2160911376","https://openalex.org/W2161464089","https://openalex.org/W2167243488","https://openalex.org/W2170541558","https://openalex.org/W2401209009","https://openalex.org/W2488569058","https://openalex.org/W2526668627","https://openalex.org/W2726355060","https://openalex.org/W4250504593","https://openalex.org/W6632013831","https://openalex.org/W6713451306","https://openalex.org/W6740774074"],"related_works":["https://openalex.org/W1543378523","https://openalex.org/W2257573499","https://openalex.org/W2381491984","https://openalex.org/W2064254377","https://openalex.org/W2148229336","https://openalex.org/W2901841247","https://openalex.org/W2001922003","https://openalex.org/W117466158","https://openalex.org/W4244333532","https://openalex.org/W2159539963"],"abstract_inverted_index":{"In":[0,58,114,142],"this":[1,143,214],"paper,":[2,144],"we":[3,40,70,109,116,145],"propose":[4],"a":[5,19,46,73,103,130,202],"Petri":[6,34,47,105,136,178,203],"nets":[7,35,48,137,204],"formalism":[8],"for":[9,138],"the":[10,56,67,99,123,151,156,181,189,208],"verification":[11,30],"of":[12,79,158],"rule-based":[13,20,63],"systems.":[14],"Typical":[15],"structural":[16,68],"errors":[17],"in":[18,135,162,174,177,197,213],"system":[21],"are":[22,71,117],"redundancy,":[23],"inconsistency,":[24],"incompleteness,":[25],"and":[26,36,86,107,133],"circularity.":[27],"Since":[28],"our":[29,119],"is":[31,160],"based":[32,166],"on":[33,167],"their":[37],"incidence":[38,53],"matrix,":[39],"need":[41],"to":[42,60,121,147,206],"transform":[43,98],"rules":[44,84,101,149,152,212],"into":[45,94,102],"first,":[49],"then":[50,97],"derive":[51],"an":[52,163],"matrix":[54,175],"from":[55],"net.":[57],"order":[59],"let":[61],"fuzzy":[62,148,182,211],"systems":[64],"detect":[65],"above":[66],"errors,":[69],"presenting":[72,118],"Petri-nets-based":[74],"mechanism.":[75],"This":[76],"mechanism":[77,209],"consists":[78],"three":[80],"phases:":[81],"rule":[82,87,139],"normalization,":[83],"transformation,":[85],"verification.":[88],"Rules":[89],"will":[90],"be":[91,172,186,195],"first":[92],"normalized":[93,100,112],"Horn":[95],"clauses,":[96],"high-level":[104],"net,":[106],"finally":[108],"verify":[110],"these":[111],"rules.":[113],"addition,":[115],"approach":[120],"simulate":[122],"truth":[124,159],"conditions":[125],"which":[126,170],"still":[127],"hold":[128],"after":[129],"transition":[131],"firing":[132],"negation":[134],"base":[140],"modeling.":[141],"refer":[146],"as":[150,188],"with":[153],"certainty":[154],"factors,":[155],"degree":[157],"computed":[161],"algebraic":[164],"form":[165],"state":[168],"equation":[169,191],"can":[171,185,194],"implemented":[173,201],"computation":[176],"nets.":[179],"Therefore,":[180],"reasoning":[183],"problems":[184,192],"transformed":[187],"liner":[190],"that":[193],"solved":[196],"parallel.":[198],"We":[199],"have":[200],"tool":[205],"realize":[207],"presented":[210],"paper.":[215]},"counts_by_year":[{"year":2026,"cited_by_count":1},{"year":2024,"cited_by_count":1},{"year":2021,"cited_by_count":3},{"year":2020,"cited_by_count":1},{"year":2018,"cited_by_count":2},{"year":2017,"cited_by_count":1},{"year":2016,"cited_by_count":6},{"year":2015,"cited_by_count":6},{"year":2014,"cited_by_count":1},{"year":2013,"cited_by_count":6},{"year":2012,"cited_by_count":4}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}