{"id":"https://openalex.org/W7127888866","doi":"https://doi.org/10.1007/s40747-025-02212-0","title":"A flexible linear temporal logic-based data inference architecture for industrial process prediction","display_name":"A flexible linear temporal logic-based data inference architecture for industrial process prediction","publication_year":2026,"publication_date":"2026-02-05","ids":{"openalex":"https://openalex.org/W7127888866","doi":"https://doi.org/10.1007/s40747-025-02212-0"},"language":"en","primary_location":{"id":"doi:10.1007/s40747-025-02212-0","is_oa":true,"landing_page_url":"https://doi.org/10.1007/s40747-025-02212-0","pdf_url":null,"source":{"id":"https://openalex.org/S3035462843","display_name":"Complex & Intelligent Systems","issn_l":"2198-6053","issn":["2198-6053","2199-4536"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310319900","host_organization_name":"Springer Science+Business Media","host_organization_lineage":["https://openalex.org/P4310319900","https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Science+Business Media","Springer Nature"],"type":"journal"},"license":"cc-by-nc-nd","license_id":"https://openalex.org/licenses/cc-by-nc-nd","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Complex & Intelligent Systems","raw_type":"journal-article"},"type":"article","indexed_in":["crossref","doaj"],"open_access":{"is_oa":true,"oa_status":"gold","oa_url":"https://doi.org/10.1007/s40747-025-02212-0","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5088541410","display_name":"Xu Huo","orcid":null},"institutions":[{"id":"https://openalex.org/I1284762954","display_name":"Zhejiang A & F University","ror":"https://ror.org/02vj4rn06","country_code":"CN","type":"education","lineage":["https://openalex.org/I1284762954"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Xu Huo","raw_affiliation_strings":["School of Mathematics and Computer Science, Zhejiang A&F University, Hangzhou, 311300, Zhejiang, China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"School of Mathematics and Computer Science, Zhejiang A&F University, Hangzhou, 311300, Zhejiang, China","institution_ids":["https://openalex.org/I1284762954"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5125193543","display_name":"Ruyu Liu","orcid":null},"institutions":[{"id":"https://openalex.org/I96673099","display_name":"Technical University of Denmark","ror":"https://ror.org/04qtj9h94","country_code":"DK","type":"education","lineage":["https://openalex.org/I96673099"]}],"countries":["DK"],"is_corresponding":false,"raw_author_name":"Ruyu Liu","raw_affiliation_strings":["Department of Technology, Management and Economics, Technical University of Denmark, Lyngby, 2800, Kgs, Denmark"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Technology, Management and Economics, Technical University of Denmark, Lyngby, 2800, Kgs, Denmark","institution_ids":["https://openalex.org/I96673099"]}]},{"author_position":"middle","author":{"id":null,"display_name":"Haoyu Zhang","orcid":"https://orcid.org/0000-0002-2118-6786"},"institutions":[{"id":"https://openalex.org/I163151501","display_name":"Hangzhou Normal University","ror":"https://ror.org/014v1mr15","country_code":"CN","type":"education","lineage":["https://openalex.org/I163151501"]}],"countries":["CN"],"is_corresponding":true,"raw_author_name":"Haoyu Zhang","raw_affiliation_strings":["School of Information Science and Technology, Hangzhou Normal University, Hangzhou, 310000, China"],"raw_orcid":"https://orcid.org/0000-0002-2118-6786","affiliations":[{"raw_affiliation_string":"School of Information Science and Technology, Hangzhou Normal University, Hangzhou, 310000, China","institution_ids":["https://openalex.org/I163151501"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5125141218","display_name":"Qianneng Tang","orcid":null},"institutions":[{"id":"https://openalex.org/I163151501","display_name":"Hangzhou Normal University","ror":"https://ror.org/014v1mr15","country_code":"CN","type":"education","lineage":["https://openalex.org/I163151501"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Qianneng Tang","raw_affiliation_strings":["School of Information Science and Technology, Hangzhou Normal University, Hangzhou, 310000, China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"School of Information Science and Technology, Hangzhou Normal University, Hangzhou, 310000, China","institution_ids":["https://openalex.org/I163151501"]}]},{"author_position":"middle","author":{"id":null,"display_name":"Qiqi Liu","orcid":null},"institutions":[{"id":"https://openalex.org/I3133055985","display_name":"Westlake University","ror":"https://ror.org/05hfa4n20","country_code":"CN","type":"education","lineage":["https://openalex.org/I3133055985"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Qiqi Liu","raw_affiliation_strings":["Trustworthy and General AI Lab, School of Engineering, Westlake University, Hangzhou, 310030, China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Trustworthy and General AI Lab, School of Engineering, Westlake University, Hangzhou, 310030, China","institution_ids":["https://openalex.org/I3133055985"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5121055489","display_name":"Xiufeng Liu","orcid":null},"institutions":[{"id":"https://openalex.org/I96673099","display_name":"Technical University of Denmark","ror":"https://ror.org/04qtj9h94","country_code":"DK","type":"education","lineage":["https://openalex.org/I96673099"]}],"countries":["DK"],"is_corresponding":false,"raw_author_name":"Xiufeng Liu","raw_affiliation_strings":["Department of Technology, Management and Economics, Technical University of Denmark, Lyngby, 2800, Kgs, Denmark"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Technology, Management and Economics, Technical University of Denmark, Lyngby, 2800, Kgs, Denmark","institution_ids":["https://openalex.org/I96673099"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":6,"corresponding_author_ids":[],"corresponding_institution_ids":["https://openalex.org/I163151501"],"apc_list":{"value":1320,"currency":"GBP","value_usd":1619},"apc_paid":{"value":1320,"currency":"GBP","value_usd":1619},"fwci":0.0,"has_fulltext":false,"cited_by_count":0,"citation_normalized_percentile":{"value":0.22283005,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":"12","issue":"3","first_page":null,"last_page":null},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T12205","display_name":"Time Series Analysis and Forecasting","score":0.31220000982284546,"subfield":{"id":"https://openalex.org/subfields/1711","display_name":"Signal Processing"},"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/T12205","display_name":"Time Series Analysis and Forecasting","score":0.31220000982284546,"subfield":{"id":"https://openalex.org/subfields/1711","display_name":"Signal Processing"},"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/T10876","display_name":"Fault Detection and Control Systems","score":0.17560000717639923,"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/T11326","display_name":"Stock Market Forecasting Methods","score":0.13269999623298645,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/benchmark","display_name":"Benchmark (surveying)","score":0.7712000012397766},{"id":"https://openalex.org/keywords/inference","display_name":"Inference","score":0.6599000096321106},{"id":"https://openalex.org/keywords/process","display_name":"Process (computing)","score":0.4943999946117401},{"id":"https://openalex.org/keywords/adaptive-neuro-fuzzy-inference-system","display_name":"Adaptive neuro fuzzy inference system","score":0.4699999988079071},{"id":"https://openalex.org/keywords/time-series","display_name":"Time series","score":0.4691999852657318},{"id":"https://openalex.org/keywords/representation","display_name":"Representation (politics)","score":0.46779999136924744},{"id":"https://openalex.org/keywords/computational-intelligence","display_name":"Computational intelligence","score":0.4372999966144562},{"id":"https://openalex.org/keywords/fuzzy-logic","display_name":"Fuzzy logic","score":0.40610000491142273}],"concepts":[{"id":"https://openalex.org/C185798385","wikidata":"https://www.wikidata.org/wiki/Q1161707","display_name":"Benchmark (surveying)","level":2,"score":0.7712000012397766},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.6603000164031982},{"id":"https://openalex.org/C2776214188","wikidata":"https://www.wikidata.org/wiki/Q408386","display_name":"Inference","level":2,"score":0.6599000096321106},{"id":"https://openalex.org/C124101348","wikidata":"https://www.wikidata.org/wiki/Q172491","display_name":"Data mining","level":1,"score":0.5806000232696533},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.5259000062942505},{"id":"https://openalex.org/C98045186","wikidata":"https://www.wikidata.org/wiki/Q205663","display_name":"Process (computing)","level":2,"score":0.4943999946117401},{"id":"https://openalex.org/C186108316","wikidata":"https://www.wikidata.org/wiki/Q352530","display_name":"Adaptive neuro fuzzy inference system","level":4,"score":0.4699999988079071},{"id":"https://openalex.org/C151406439","wikidata":"https://www.wikidata.org/wiki/Q186588","display_name":"Time series","level":2,"score":0.4691999852657318},{"id":"https://openalex.org/C2776359362","wikidata":"https://www.wikidata.org/wiki/Q2145286","display_name":"Representation (politics)","level":3,"score":0.46779999136924744},{"id":"https://openalex.org/C139502532","wikidata":"https://www.wikidata.org/wiki/Q1122090","display_name":"Computational intelligence","level":2,"score":0.4372999966144562},{"id":"https://openalex.org/C119857082","wikidata":"https://www.wikidata.org/wiki/Q2539","display_name":"Machine learning","level":1,"score":0.4221000075340271},{"id":"https://openalex.org/C58166","wikidata":"https://www.wikidata.org/wiki/Q224821","display_name":"Fuzzy logic","level":2,"score":0.40610000491142273},{"id":"https://openalex.org/C77277458","wikidata":"https://www.wikidata.org/wiki/Q1969246","display_name":"Temporal database","level":2,"score":0.38119998574256897},{"id":"https://openalex.org/C50644808","wikidata":"https://www.wikidata.org/wiki/Q192776","display_name":"Artificial neural network","level":2,"score":0.3659999966621399},{"id":"https://openalex.org/C739882","wikidata":"https://www.wikidata.org/wiki/Q3560506","display_name":"Anomaly detection","level":2,"score":0.33009999990463257},{"id":"https://openalex.org/C67186912","wikidata":"https://www.wikidata.org/wiki/Q367664","display_name":"Data modeling","level":2,"score":0.31369999051094055},{"id":"https://openalex.org/C12725497","wikidata":"https://www.wikidata.org/wiki/Q810247","display_name":"Baseline (sea)","level":2,"score":0.3093999922275543},{"id":"https://openalex.org/C25016198","wikidata":"https://www.wikidata.org/wiki/Q781833","display_name":"Temporal logic","level":2,"score":0.3052000105381012},{"id":"https://openalex.org/C143724316","wikidata":"https://www.wikidata.org/wiki/Q312468","display_name":"Series (stratigraphy)","level":2,"score":0.30469998717308044},{"id":"https://openalex.org/C147168706","wikidata":"https://www.wikidata.org/wiki/Q1457734","display_name":"Recurrent neural network","level":3,"score":0.2973000109195709},{"id":"https://openalex.org/C152745839","wikidata":"https://www.wikidata.org/wiki/Q5438153","display_name":"Fault detection and isolation","level":3,"score":0.29260000586509705},{"id":"https://openalex.org/C3746660","wikidata":"https://www.wikidata.org/wiki/Q1068763","display_name":"Rule of inference","level":2,"score":0.28369998931884766},{"id":"https://openalex.org/C116409475","wikidata":"https://www.wikidata.org/wiki/Q1385056","display_name":"External Data Representation","level":2,"score":0.2815999984741211},{"id":"https://openalex.org/C139945424","wikidata":"https://www.wikidata.org/wiki/Q1940696","display_name":"Mean squared error","level":2,"score":0.2556000053882599}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1007/s40747-025-02212-0","is_oa":true,"landing_page_url":"https://doi.org/10.1007/s40747-025-02212-0","pdf_url":null,"source":{"id":"https://openalex.org/S3035462843","display_name":"Complex & Intelligent Systems","issn_l":"2198-6053","issn":["2198-6053","2199-4536"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310319900","host_organization_name":"Springer Science+Business Media","host_organization_lineage":["https://openalex.org/P4310319900","https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Science+Business Media","Springer Nature"],"type":"journal"},"license":"cc-by-nc-nd","license_id":"https://openalex.org/licenses/cc-by-nc-nd","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Complex & Intelligent Systems","raw_type":"journal-article"},{"id":"pmh:oai:doaj.org/article:8720a2b82c1f4c3db12310fe3b34d4f2","is_oa":true,"landing_page_url":"https://doaj.org/article/8720a2b82c1f4c3db12310fe3b34d4f2","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":"Complex & Intelligent Systems, Vol 12, Iss 3 (2026)","raw_type":"article"}],"best_oa_location":{"id":"doi:10.1007/s40747-025-02212-0","is_oa":true,"landing_page_url":"https://doi.org/10.1007/s40747-025-02212-0","pdf_url":null,"source":{"id":"https://openalex.org/S3035462843","display_name":"Complex & Intelligent Systems","issn_l":"2198-6053","issn":["2198-6053","2199-4536"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310319900","host_organization_name":"Springer Science+Business Media","host_organization_lineage":["https://openalex.org/P4310319900","https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Science+Business Media","Springer Nature"],"type":"journal"},"license":"cc-by-nc-nd","license_id":"https://openalex.org/licenses/cc-by-nc-nd","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Complex & Intelligent Systems","raw_type":"journal-article"},"sustainable_development_goals":[{"display_name":"Industry, innovation and infrastructure","id":"https://metadata.un.org/sdg/9","score":0.5517771244049072}],"awards":[{"id":"https://openalex.org/G1265821997","display_name":null,"funder_award_id":"62202137","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G8760444615","display_name":null,"funder_award_id":"62306097","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"}],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":36,"referenced_works":["https://openalex.org/W2023808162","https://openalex.org/W2036664528","https://openalex.org/W2064675550","https://openalex.org/W2083861746","https://openalex.org/W2157331557","https://openalex.org/W2474788619","https://openalex.org/W2589808763","https://openalex.org/W2743132191","https://openalex.org/W2790715451","https://openalex.org/W2790964730","https://openalex.org/W2800753560","https://openalex.org/W2808885824","https://openalex.org/W2865675487","https://openalex.org/W2895790973","https://openalex.org/W2900682747","https://openalex.org/W2913497545","https://openalex.org/W2919115771","https://openalex.org/W2941358638","https://openalex.org/W2964356616","https://openalex.org/W2971552465","https://openalex.org/W2975745452","https://openalex.org/W2986617680","https://openalex.org/W2987793235","https://openalex.org/W3004765214","https://openalex.org/W3015272743","https://openalex.org/W3038216073","https://openalex.org/W3043706704","https://openalex.org/W3080735628","https://openalex.org/W3177318507","https://openalex.org/W4212969021","https://openalex.org/W4286005771","https://openalex.org/W4293068174","https://openalex.org/W4307142726","https://openalex.org/W4309326154","https://openalex.org/W4399871128","https://openalex.org/W4414253396"],"related_works":[],"abstract_inverted_index":{"Artificial":[0],"neural":[1],"networks,":[2,81],"particularly":[3],"recurrent":[4,105],"architectures":[5],"like":[6],"Long":[7],"Short-Term":[8],"Memory":[9],"(LSTM)":[10],"and":[11,79,87,132,153,171,183],"Gated":[12],"Recurrent":[13],"Units":[14],"(GRU),":[15],"are":[16,124],"widely":[17],"used":[18],"for":[19,28],"time":[20],"series":[21],"prediction.":[22],"However,":[23],"achieving":[24],"high":[25],"accuracy,":[26],"especially":[27],"complex":[29],"industrial":[30,189],"process":[31],"data,":[32],"remains":[33],"challenging,":[34],"as":[35,116],"standard":[36,104],"models":[37,155],"may":[38],"not":[39],"explicitly":[40],"capture":[41,63],"local":[42],"temporal":[43,112],"trends":[44,66],"effectively.":[45],"This":[46,71],"paper":[47],"proposes":[48],"a":[49,68,136,172],"novel":[50],"data":[51,65,99,134],"inference":[52,73],"structure":[53,74],"based":[54],"on":[55,126,179,187],"Propositional":[56],"Linear":[57],"Temporal":[58],"Logic":[59],"(PLTL)":[60],"designed":[61],"to":[62,110,163],"qualitative":[64],"within":[67],"sliding":[69],"window.":[70],"PLTL":[72,90],"is":[75],"integrated":[76],"into":[77],"LSTM":[78],"GRU":[80],"creating":[82],"two":[83],"new":[84],"models:":[85],"L-LSTM":[86,152],"L-GRU.":[88],"The":[89,121],"module":[91],"provides":[92],"an":[93],"interpretable,":[94],"logic-based":[95],"representation":[96],"of":[97],"recent":[98],"dynamics,":[100],"which":[101],"modulates":[102],"the":[103,108,127,151,180,188],"computations,":[106],"enabling":[107],"networks":[109],"learn":[111],"dependencies":[113],"more":[114],"effectively,":[115],"demonstrated":[117],"by":[118],"empirical":[119],"results.":[120],"proposed":[122],"methods":[123],"evaluated":[125,142],"TAIEX":[128],"financial":[129],"benchmark":[130,181],"dataset":[131],"real-world":[133],"from":[135],"textile":[137],"manufacturing":[138],"process.":[139],"Experimental":[140],"results,":[141],"using":[143],"Root":[144],"Mean":[145],"Square":[146],"Error":[147],"(RMSE),":[148],"indicate":[149],"that":[150],"L-GRU":[154],"demonstrate":[156],"statistically":[157],"significant":[158],"improved":[159],"prediction":[160],"accuracy":[161],"compared":[162],"baseline":[164],"LSTM,":[165],"GRU,":[166],"Deep":[167],"Belief":[168],"Networks":[169],"(DBN),":[170],"Fuzzy":[173],"Time":[174],"Series-LSTM":[175],"(FTS-LSTM)":[176],"hybrid":[177],"model":[178],"dataset,":[182],"show":[184],"strong":[185],"performance":[186],"data.":[190]},"counts_by_year":[],"updated_date":"2026-05-06T08:25:59.206177","created_date":"2026-02-07T00:00:00"}