{"id":"https://openalex.org/W3110512231","doi":"https://doi.org/10.1142/s1793005721500320","title":"Fuzzy Stochastic Timed Petri Nets for Causal Properties Representation","display_name":"Fuzzy Stochastic Timed Petri Nets for Causal Properties Representation","publication_year":2021,"publication_date":"2021-03-04","ids":{"openalex":"https://openalex.org/W3110512231","doi":"https://doi.org/10.1142/s1793005721500320","mag":"3110512231"},"language":"en","primary_location":{"id":"doi:10.1142/s1793005721500320","is_oa":false,"landing_page_url":"https://doi.org/10.1142/s1793005721500320","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":"preprint","indexed_in":["arxiv","crossref","datacite"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://arxiv.org/pdf/2011.12075","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5079910767","display_name":"Alejandro Sobrino","orcid":"https://orcid.org/0000-0003-0845-9812"},"institutions":[{"id":"https://openalex.org/I200284239","display_name":"Universidade de Santiago de Compostela","ror":"https://ror.org/030eybx10","country_code":"ES","type":"education","lineage":["https://openalex.org/I200284239"]}],"countries":["ES"],"is_corresponding":true,"raw_author_name":"Alejandro Sobrino","raw_affiliation_strings":["Universidad Santiago de Compostela, Galicia, Spain","University of Santiago de Compostela"],"affiliations":[{"raw_affiliation_string":"Universidad Santiago de Compostela, Galicia, Spain","institution_ids":["https://openalex.org/I200284239"]},{"raw_affiliation_string":"University of Santiago de Compostela","institution_ids":["https://openalex.org/I200284239"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5070783543","display_name":"Eduardo C. Garrido\u2010Merch\u00e1n","orcid":"https://orcid.org/0000-0002-2695-5484"},"institutions":[{"id":"https://openalex.org/I63634437","display_name":"Universidad Aut\u00f3noma de Madrid","ror":"https://ror.org/01cby8j38","country_code":"ES","type":"education","lineage":["https://openalex.org/I63634437"]}],"countries":["ES"],"is_corresponding":false,"raw_author_name":"Eduardo C. Garrido-Merch\u00e1n","raw_affiliation_strings":["Universidad Aut\u00f3noma de Madrid, Madrid, Spain","[Autonomous University of Madrid]"],"affiliations":[{"raw_affiliation_string":"Universidad Aut\u00f3noma de Madrid, Madrid, Spain","institution_ids":["https://openalex.org/I63634437"]},{"raw_affiliation_string":"[Autonomous University of Madrid]","institution_ids":["https://openalex.org/I63634437"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5035074807","display_name":"Cristina Puente","orcid":"https://orcid.org/0000-0002-6882-8678"},"institutions":[{"id":"https://openalex.org/I96580804","display_name":"Comillas Pontifical University","ror":"https://ror.org/017mdc710","country_code":"ES","type":"education","lineage":["https://openalex.org/I96580804"]}],"countries":["ES"],"is_corresponding":false,"raw_author_name":"Cristina Puente","raw_affiliation_strings":["Universidad Pontificia de Comillas, Madrid, Spain"],"affiliations":[{"raw_affiliation_string":"Universidad Pontificia de Comillas, Madrid, Spain","institution_ids":["https://openalex.org/I96580804"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5079910767"],"corresponding_institution_ids":["https://openalex.org/I200284239"],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":true,"cited_by_count":0,"citation_normalized_percentile":{"value":0.01090971,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":"17","issue":"03","first_page":"633","last_page":"653"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T12805","display_name":"Cognitive Science and Mapping","score":0.9994000196456909,"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"}},"topics":[{"id":"https://openalex.org/T12805","display_name":"Cognitive Science and Mapping","score":0.9994000196456909,"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/T13062","display_name":"Cognitive Computing and Networks","score":0.9954000115394592,"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/T11303","display_name":"Bayesian Modeling and Causal Inference","score":0.9945999979972839,"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/causality","display_name":"Causality (physics)","score":0.7697696685791016},{"id":"https://openalex.org/keywords/petri-net","display_name":"Petri net","score":0.7689748406410217},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.6341009140014648},{"id":"https://openalex.org/keywords/concurrency","display_name":"Concurrency","score":0.6053484678268433},{"id":"https://openalex.org/keywords/graphical-model","display_name":"Graphical model","score":0.5986639261245728},{"id":"https://openalex.org/keywords/bayesian-network","display_name":"Bayesian network","score":0.5588595867156982},{"id":"https://openalex.org/keywords/causal-model","display_name":"Causal model","score":0.5515072345733643},{"id":"https://openalex.org/keywords/representation","display_name":"Representation (politics)","score":0.5356585383415222},{"id":"https://openalex.org/keywords/theoretical-computer-science","display_name":"Theoretical computer science","score":0.5263004302978516},{"id":"https://openalex.org/keywords/causal-reasoning","display_name":"Causal reasoning","score":0.5250903367996216},{"id":"https://openalex.org/keywords/fuzzy-cognitive-map","display_name":"Fuzzy cognitive map","score":0.4765515923500061},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.4754588007926941},{"id":"https://openalex.org/keywords/graph","display_name":"Graph","score":0.45674553513526917},{"id":"https://openalex.org/keywords/causal-structure","display_name":"Causal structure","score":0.4544525444507599},{"id":"https://openalex.org/keywords/fuzzy-logic","display_name":"Fuzzy logic","score":0.4222240447998047},{"id":"https://openalex.org/keywords/cognition","display_name":"Cognition","score":0.39681434631347656},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.22771742939949036},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.20914345979690552},{"id":"https://openalex.org/keywords/fuzzy-set","display_name":"Fuzzy set","score":0.18430212140083313},{"id":"https://openalex.org/keywords/programming-language","display_name":"Programming language","score":0.1683635115623474},{"id":"https://openalex.org/keywords/psychology","display_name":"Psychology","score":0.16497495770454407}],"concepts":[{"id":"https://openalex.org/C64357122","wikidata":"https://www.wikidata.org/wiki/Q1149766","display_name":"Causality (physics)","level":2,"score":0.7697696685791016},{"id":"https://openalex.org/C38677869","wikidata":"https://www.wikidata.org/wiki/Q724168","display_name":"Petri net","level":2,"score":0.7689748406410217},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.6341009140014648},{"id":"https://openalex.org/C193702766","wikidata":"https://www.wikidata.org/wiki/Q1414548","display_name":"Concurrency","level":2,"score":0.6053484678268433},{"id":"https://openalex.org/C155846161","wikidata":"https://www.wikidata.org/wiki/Q1143367","display_name":"Graphical model","level":2,"score":0.5986639261245728},{"id":"https://openalex.org/C33724603","wikidata":"https://www.wikidata.org/wiki/Q812540","display_name":"Bayesian network","level":2,"score":0.5588595867156982},{"id":"https://openalex.org/C11671645","wikidata":"https://www.wikidata.org/wiki/Q5054567","display_name":"Causal model","level":2,"score":0.5515072345733643},{"id":"https://openalex.org/C2776359362","wikidata":"https://www.wikidata.org/wiki/Q2145286","display_name":"Representation (politics)","level":3,"score":0.5356585383415222},{"id":"https://openalex.org/C80444323","wikidata":"https://www.wikidata.org/wiki/Q2878974","display_name":"Theoretical computer science","level":1,"score":0.5263004302978516},{"id":"https://openalex.org/C115086926","wikidata":"https://www.wikidata.org/wiki/Q17004651","display_name":"Causal reasoning","level":3,"score":0.5250903367996216},{"id":"https://openalex.org/C5041914","wikidata":"https://www.wikidata.org/wiki/Q5511107","display_name":"Fuzzy cognitive map","level":5,"score":0.4765515923500061},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.4754588007926941},{"id":"https://openalex.org/C132525143","wikidata":"https://www.wikidata.org/wiki/Q141488","display_name":"Graph","level":2,"score":0.45674553513526917},{"id":"https://openalex.org/C163504300","wikidata":"https://www.wikidata.org/wiki/Q2364925","display_name":"Causal structure","level":2,"score":0.4544525444507599},{"id":"https://openalex.org/C58166","wikidata":"https://www.wikidata.org/wiki/Q224821","display_name":"Fuzzy logic","level":2,"score":0.4222240447998047},{"id":"https://openalex.org/C169900460","wikidata":"https://www.wikidata.org/wiki/Q2200417","display_name":"Cognition","level":2,"score":0.39681434631347656},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.22771742939949036},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.20914345979690552},{"id":"https://openalex.org/C42011625","wikidata":"https://www.wikidata.org/wiki/Q1055058","display_name":"Fuzzy set","level":3,"score":0.18430212140083313},{"id":"https://openalex.org/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","level":1,"score":0.1683635115623474},{"id":"https://openalex.org/C15744967","wikidata":"https://www.wikidata.org/wiki/Q9418","display_name":"Psychology","level":0,"score":0.16497495770454407},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","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/C94625758","wikidata":"https://www.wikidata.org/wiki/Q7163","display_name":"Politics","level":2,"score":0.0},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","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/C17744445","wikidata":"https://www.wikidata.org/wiki/Q36442","display_name":"Political science","level":0,"score":0.0},{"id":"https://openalex.org/C169760540","wikidata":"https://www.wikidata.org/wiki/Q207011","display_name":"Neuroscience","level":1,"score":0.0},{"id":"https://openalex.org/C1883856","wikidata":"https://www.wikidata.org/wiki/Q3407463","display_name":"Fuzzy number","level":4,"score":0.0}],"mesh":[],"locations_count":5,"locations":[{"id":"doi:10.1142/s1793005721500320","is_oa":false,"landing_page_url":"https://doi.org/10.1142/s1793005721500320","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:arXiv.org:2011.12075","is_oa":true,"landing_page_url":"http://arxiv.org/abs/2011.12075","pdf_url":"https://arxiv.org/pdf/2011.12075","source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":"text"},{"id":"mag:3110512231","is_oa":true,"landing_page_url":"https://arxiv.org/pdf/2011.12075","pdf_url":null,"source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"arXiv (Cornell University)","raw_type":null},{"id":"pmh:oai:RePEc:wsi:nmncxx:v:17:y:2021:i:03:n:s1793005721500320","is_oa":false,"landing_page_url":"http://www.worldscientific.com/doi/abs/10.1142/S1793005721500320","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"},{"id":"doi:10.48550/arxiv.2011.12075","is_oa":true,"landing_page_url":"https://doi.org/10.48550/arxiv.2011.12075","pdf_url":null,"source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":null,"is_accepted":false,"is_published":null,"raw_source_name":null,"raw_type":"article"}],"best_oa_location":{"id":"pmh:oai:arXiv.org:2011.12075","is_oa":true,"landing_page_url":"http://arxiv.org/abs/2011.12075","pdf_url":"https://arxiv.org/pdf/2011.12075","source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":"text"},"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":true,"pdf":true},"content_urls":{"pdf":"https://content.openalex.org/works/W3110512231.pdf","grobid_xml":"https://content.openalex.org/works/W3110512231.grobid-xml"},"referenced_works_count":44,"referenced_works":["https://openalex.org/W257372408","https://openalex.org/W1516346799","https://openalex.org/W1584053331","https://openalex.org/W1755360231","https://openalex.org/W1928544931","https://openalex.org/W1966415976","https://openalex.org/W1968795630","https://openalex.org/W1990100773","https://openalex.org/W1999794725","https://openalex.org/W2000214310","https://openalex.org/W2014078105","https://openalex.org/W2024858150","https://openalex.org/W2036595691","https://openalex.org/W2036900631","https://openalex.org/W2037969244","https://openalex.org/W2039140951","https://openalex.org/W2045875671","https://openalex.org/W2057066113","https://openalex.org/W2067815437","https://openalex.org/W2084829134","https://openalex.org/W2095224843","https://openalex.org/W2136850416","https://openalex.org/W2151542318","https://openalex.org/W2154119246","https://openalex.org/W2166266817","https://openalex.org/W2222269535","https://openalex.org/W2277350716","https://openalex.org/W2293943467","https://openalex.org/W2320334740","https://openalex.org/W2506342332","https://openalex.org/W2541866549","https://openalex.org/W2550998066","https://openalex.org/W2612102009","https://openalex.org/W2970801770","https://openalex.org/W3004160924","https://openalex.org/W3004570938","https://openalex.org/W3028315813","https://openalex.org/W3088173242","https://openalex.org/W3155756270","https://openalex.org/W3195881270","https://openalex.org/W4213262543","https://openalex.org/W4248433760","https://openalex.org/W4255353014","https://openalex.org/W4289127527"],"related_works":["https://openalex.org/W1525704641","https://openalex.org/W3004160924","https://openalex.org/W2916020102","https://openalex.org/W2912187442","https://openalex.org/W2904419194","https://openalex.org/W3036859210","https://openalex.org/W3179894185","https://openalex.org/W2015129352","https://openalex.org/W3093405022","https://openalex.org/W54109899","https://openalex.org/W3093782265","https://openalex.org/W1534384411","https://openalex.org/W2751649695","https://openalex.org/W3102338602","https://openalex.org/W1962245749","https://openalex.org/W3176726917","https://openalex.org/W3191007525","https://openalex.org/W2887692110","https://openalex.org/W3208187816","https://openalex.org/W2918600810"],"abstract_inverted_index":{"Imagery":[0],"is":[1,47,80,96],"frequently":[2,30],"used":[3,60],"to":[4,22,143,154,176],"model,":[5],"represent":[6,23,144,177],"and":[7,39,54,75,110,116,181],"communicate":[8],"knowledge.":[9],"In":[10],"particular,":[11],"graphs":[12],"are":[13,29,66,141],"one":[14],"of":[15,85,120,147,158],"the":[16,90,108,111,114,121,124,137,148],"most":[17],"powerful":[18],"tools,":[19],"being":[20],"able":[21,142,175],"relations":[24,28],"between":[25,56],"objects.":[26],"Causal":[27],"represented":[31],"by":[32,99],"directed":[33],"graphs,":[34],"with":[35],"nodes":[36],"denoting":[37,41],"causes":[38,129],"links":[40],"causal":[42,45,52,64,70,184],"influence.":[43],"A":[44],"graph":[46],"a":[48,172],"skeletal":[49],"picture,":[50],"showing":[51],"associations":[53],"impact":[55],"entities.":[57],"Common":[58],"methods":[59],"for":[61],"graphically":[62],"representing":[63],"scenarios":[65],"neurons,":[67],"truth":[68],"tables,":[69],"Bayesian":[71],"networks,":[72],"cognitive":[73],"maps":[74],"Petri":[76],"Nets":[77],"(PNs).":[78],"Causality":[79],"often":[81],"defined":[82],"in":[83,183],"terms":[84],"precedence":[86],"(the":[87,118],"cause":[88,106,122],"precedes":[89],"effect),":[91],"concurrency":[92],"(often,":[93],"an":[94],"effect":[95,109,112],"provoked":[97],"simultaneously":[98],"two":[100],"or":[101],"more":[102],"causes),":[103],"circularity":[104],"(a":[105],"provokes":[107],"reinforces":[113],"cause)":[115],"imprecision":[117,182],"presence":[119],"favors":[123],"effect,":[125],"but":[126],"not":[127],"necessarily":[128],"it).":[130],"We":[131],"will":[132,165],"show":[133],"that":[134,162],"even":[135],"though":[136],"traditional":[138],"graphical":[139,173],"models":[140],"separately":[145],"some":[146],"properties":[149],"aforementioned,":[150],"they":[151],"fail":[152],"trying":[153],"illustrate":[155],"indistinctly":[156],"all":[157],"them.":[159],"To":[160],"approach":[161],"gap,":[163],"we":[164],"introduce":[166],"Fuzzy":[167],"Stochastic":[168],"Timed":[169],"PNs":[170],"as":[171],"tool":[174],"time,":[178],"co-occurrence,":[179],"looping":[180],"flow.":[185]},"counts_by_year":[],"updated_date":"2026-03-10T16:38:18.471706","created_date":"2025-10-10T00:00:00"}