{"id":"https://openalex.org/W2020244582","doi":"https://doi.org/10.1109/tfuzz.2013.2279535","title":"Generalized Markov Models for Real-Time Modeling of Continuous Systems","display_name":"Generalized Markov Models for Real-Time Modeling of Continuous Systems","publication_year":2013,"publication_date":"2013-08-30","ids":{"openalex":"https://openalex.org/W2020244582","doi":"https://doi.org/10.1109/tfuzz.2013.2279535","mag":"2020244582"},"language":"en","primary_location":{"id":"doi:10.1109/tfuzz.2013.2279535","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tfuzz.2013.2279535","pdf_url":null,"source":{"id":"https://openalex.org/S134177497","display_name":"IEEE Transactions on Fuzzy Systems","issn_l":"1063-6706","issn":["1063-6706","1941-0034"],"is_oa":false,"is_in_doaj":false,"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":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"IEEE Transactions on Fuzzy Systems","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/A5015550681","display_name":"Dimitar Filev","orcid":"https://orcid.org/0000-0001-7127-6782"},"institutions":[{"id":"https://openalex.org/I1292974536","display_name":"Ford Motor Company (United States)","ror":"https://ror.org/00g2tkw06","country_code":"US","type":"company","lineage":["https://openalex.org/I1292974536"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Dimitar P. Filev","raw_affiliation_strings":["Research and Advanced Engineering, Ford Motor Company, Dearborn, MI, USA","Research and Advanced Engineering , Ford Motor Company , Dearborn, MI, USA"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Research and Advanced Engineering, Ford Motor Company, Dearborn, MI, USA","institution_ids":["https://openalex.org/I1292974536"]},{"raw_affiliation_string":"Research and Advanced Engineering , Ford Motor Company , Dearborn, MI, USA","institution_ids":["https://openalex.org/I1292974536"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5078022728","display_name":"Ilya Kolmanovsky","orcid":"https://orcid.org/0000-0002-7225-4160"},"institutions":[{"id":"https://openalex.org/I27837315","display_name":"University of Michigan","ror":"https://ror.org/00jmfr291","country_code":"US","type":"education","lineage":["https://openalex.org/I27837315"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Ilya Kolmanovsky","raw_affiliation_strings":["Department of Aerospace Engineering, University of Michigan, Ann Arbor, MI, USA","Department of Aerospace Engineering, University of Michigan, Ann Arbor, MI, USA#TAB#"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Aerospace Engineering, University of Michigan, Ann Arbor, MI, USA","institution_ids":["https://openalex.org/I27837315"]},{"raw_affiliation_string":"Department of Aerospace Engineering, University of Michigan, Ann Arbor, MI, USA#TAB#","institution_ids":["https://openalex.org/I27837315"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":4.5157,"has_fulltext":false,"cited_by_count":70,"citation_normalized_percentile":{"value":0.942135,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":95,"max":100},"biblio":{"volume":"22","issue":"4","first_page":"983","last_page":"998"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10876","display_name":"Fault Detection and Control Systems","score":0.9819999933242798,"subfield":{"id":"https://openalex.org/subfields/2207","display_name":"Control and Systems Engineering"},"field":{"id":"https://openalex.org/fields/22","display_name":"Engineering"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},"topics":[{"id":"https://openalex.org/T10876","display_name":"Fault Detection and Control Systems","score":0.9819999933242798,"subfield":{"id":"https://openalex.org/subfields/2207","display_name":"Control and Systems Engineering"},"field":{"id":"https://openalex.org/fields/22","display_name":"Engineering"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T10820","display_name":"Fuzzy Logic and Control Systems","score":0.9621000289916992,"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/T11125","display_name":"Petri Nets in System Modeling","score":0.9366000294685364,"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/markov-chain","display_name":"Markov chain","score":0.5946701169013977},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.5089983940124512},{"id":"https://openalex.org/keywords/hidden-markov-model","display_name":"Hidden Markov model","score":0.4973502457141876},{"id":"https://openalex.org/keywords/fuzzy-logic","display_name":"Fuzzy logic","score":0.485187828540802},{"id":"https://openalex.org/keywords/markov-process","display_name":"Markov process","score":0.4665016531944275},{"id":"https://openalex.org/keywords/markov-model","display_name":"Markov model","score":0.44993215799331665},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.42999961972236633},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.4129025340080261},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.41037824749946594},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.22931337356567383},{"id":"https://openalex.org/keywords/machine-learning","display_name":"Machine learning","score":0.22696715593338013},{"id":"https://openalex.org/keywords/statistics","display_name":"Statistics","score":0.0978747010231018}],"concepts":[{"id":"https://openalex.org/C98763669","wikidata":"https://www.wikidata.org/wiki/Q176645","display_name":"Markov chain","level":2,"score":0.5946701169013977},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.5089983940124512},{"id":"https://openalex.org/C23224414","wikidata":"https://www.wikidata.org/wiki/Q176769","display_name":"Hidden Markov model","level":2,"score":0.4973502457141876},{"id":"https://openalex.org/C58166","wikidata":"https://www.wikidata.org/wiki/Q224821","display_name":"Fuzzy logic","level":2,"score":0.485187828540802},{"id":"https://openalex.org/C159886148","wikidata":"https://www.wikidata.org/wiki/Q176645","display_name":"Markov process","level":2,"score":0.4665016531944275},{"id":"https://openalex.org/C163836022","wikidata":"https://www.wikidata.org/wiki/Q6771326","display_name":"Markov model","level":3,"score":0.44993215799331665},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.42999961972236633},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.4129025340080261},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.41037824749946594},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.22931337356567383},{"id":"https://openalex.org/C119857082","wikidata":"https://www.wikidata.org/wiki/Q2539","display_name":"Machine learning","level":1,"score":0.22696715593338013},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.0978747010231018}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1109/tfuzz.2013.2279535","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tfuzz.2013.2279535","pdf_url":null,"source":{"id":"https://openalex.org/S134177497","display_name":"IEEE Transactions on Fuzzy Systems","issn_l":"1063-6706","issn":["1063-6706","1941-0034"],"is_oa":false,"is_in_doaj":false,"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":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"IEEE Transactions on Fuzzy Systems","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":21,"referenced_works":["https://openalex.org/W43637044","https://openalex.org/W90286923","https://openalex.org/W189768814","https://openalex.org/W1580334350","https://openalex.org/W1987801991","https://openalex.org/W2038190934","https://openalex.org/W2047010975","https://openalex.org/W2060647548","https://openalex.org/W2065900771","https://openalex.org/W2071782633","https://openalex.org/W2073945649","https://openalex.org/W2104069963","https://openalex.org/W2155513194","https://openalex.org/W2161758672","https://openalex.org/W2163660424","https://openalex.org/W2188162985","https://openalex.org/W3176049587","https://openalex.org/W4233464598","https://openalex.org/W4240790602","https://openalex.org/W6647172677","https://openalex.org/W6683501427"],"related_works":["https://openalex.org/W1510894296","https://openalex.org/W2134386692","https://openalex.org/W2379651310","https://openalex.org/W2113019827","https://openalex.org/W1541249122","https://openalex.org/W2084326697","https://openalex.org/W2194396582","https://openalex.org/W2027903142","https://openalex.org/W2082284720","https://openalex.org/W2116722627"],"abstract_inverted_index":{"This":[0],"paper":[1],"presents":[2],"a":[3,22,187],"modeling":[4,35,75,172,235],"framework":[5,76,119,173],"based":[6,87,174,233],"on":[7,88,175,234],"finite-state":[8,32],"space":[9,33],"Markov":[10],"chains":[11],"(MCs)":[12],"and":[13,51,67,126,158,185,201,231,240],"fuzzy":[14,89,112,180],"subsets":[15,113],"to":[16,28,45,129,218,226],"represent":[17,46],"signals":[18,125],"that":[19,148,169,216],"vary":[20],"in":[21,41,49,104,220],"continuous":[23],"range.":[24],"Our":[25,72,118],"special":[26],"attention":[27],"this":[29],"extension":[30,189],"of":[31,81,96,153,190,212,236],"MC":[34,43,74,176,191],"is":[36,120,145,167],"motivated":[37],"by":[38],"numerous":[39],"opportunities":[40],"applying":[42],"models":[44,58,177,192,219],"physical":[47],"variables":[48],"automotive":[50],"aerospace":[52],"systems":[53],"and,":[54],"subsequently,":[55],"using":[56],"these":[57],"for":[59,109,123,137],"fault":[60],"detection,":[61],"estimation,":[62],"prediction,":[63],"stochastic":[64,68],"dynamic":[65],"programming,":[66],"model":[69,106],"predictive":[70],"control.":[71],"generalized":[73],"synergistically":[77],"combines":[78],"the":[79,94,101,150,154,160,170,213,228,237],"notion":[80],"transition":[82,102,139],"probabilities":[83,103,140],"with":[84,93],"information":[85],"granulation":[86],"partitioning.":[90],"As":[91],"compared":[92],"case":[95],"more":[97],"familiar":[98],"interval":[99,195],"partitioning,":[100,196],"our":[105],"are":[107,164,224],"defined":[108,178,193],"transitions":[110],"between":[111],"rather":[114],"than":[115],"intervals/rectangular":[116],"cells.":[117],"first":[121],"introduced":[122,171],"scalar-valued":[124],"then":[127],"extended":[128],"vector-valued":[130],"signals.":[131,243],"A":[132],"real-time":[133],"capable":[134],"recursive":[135],"algorithm":[136],"learning":[138],"from":[141],"measured":[142],"signal":[143,156,162],"data":[144],"derived.":[146],"Formulas":[147],"characterize":[149],"possibility":[151],"distribution":[152],"next":[155,161],"value":[157,163],"predict":[159],"given.":[165],"It":[166],"shown":[168],"over":[179,194],"partitioning":[181],"inherits":[182],"all":[183],"properties":[184],"represents":[186],"natural":[188],"while":[197],"providing":[198],"interpolation":[199],"ability":[200],"improved":[202],"prediction":[203],"accuracy.":[204],"In":[205],"addition,":[206],"we":[207],"derive":[208],"an":[209],"alternative":[210],"formulation":[211],"Chapman\u2013Kolmogorov":[214],"equation":[215],"applies":[217],"possibilistic/fuzzy":[221],"environment.":[222],"Examples":[223],"given":[225],"illustrate":[227],"key":[229],"notions":[230],"results":[232],"vehicle":[238],"speed":[239],"road":[241],"grade":[242]},"counts_by_year":[{"year":2026,"cited_by_count":2},{"year":2025,"cited_by_count":2},{"year":2024,"cited_by_count":5},{"year":2023,"cited_by_count":8},{"year":2022,"cited_by_count":7},{"year":2021,"cited_by_count":6},{"year":2020,"cited_by_count":6},{"year":2019,"cited_by_count":14},{"year":2018,"cited_by_count":5},{"year":2017,"cited_by_count":6},{"year":2016,"cited_by_count":5},{"year":2015,"cited_by_count":4}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}