{"id":"https://openalex.org/W3082774306","doi":"https://doi.org/10.1109/fuzz48607.2020.9177736","title":"An Improved Complexity Measure in Hierarchical Fuzzy Systems","display_name":"An Improved Complexity Measure in Hierarchical Fuzzy Systems","publication_year":2020,"publication_date":"2020-07-01","ids":{"openalex":"https://openalex.org/W3082774306","doi":"https://doi.org/10.1109/fuzz48607.2020.9177736","mag":"3082774306"},"language":"en","primary_location":{"id":"doi:10.1109/fuzz48607.2020.9177736","is_oa":false,"landing_page_url":"https://doi.org/10.1109/fuzz48607.2020.9177736","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2020 IEEE International Conference on Fuzzy Systems (FUZZ-IEEE)","raw_type":"proceedings-article"},"type":"conference-paper","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/A5069314633","display_name":"Tajul Rosli Razak","orcid":"https://orcid.org/0000-0002-6389-8108"},"institutions":[{"id":"https://openalex.org/I142263535","display_name":"University of Nottingham","ror":"https://ror.org/01ee9ar58","country_code":"GB","type":"education","lineage":["https://openalex.org/I142263535"]}],"countries":["GB"],"is_corresponding":false,"raw_author_name":"Tajul Rosli Razak","raw_affiliation_strings":["Laboratory for Uncertainty in Data and Decision Making (LUCID), School of Computer Science, University of Nottingham, United Kingdom"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Laboratory for Uncertainty in Data and Decision Making (LUCID), School of Computer Science, University of Nottingham, United Kingdom","institution_ids":["https://openalex.org/I142263535"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5040516036","display_name":"Jonathan M. Garibaldi","orcid":"https://orcid.org/0000-0002-9690-7074"},"institutions":[{"id":"https://openalex.org/I142263535","display_name":"University of Nottingham","ror":"https://ror.org/01ee9ar58","country_code":"GB","type":"education","lineage":["https://openalex.org/I142263535"]}],"countries":["GB"],"is_corresponding":false,"raw_author_name":"Jonathan M. Garibaldi","raw_affiliation_strings":["Laboratory for Uncertainty in Data and Decision Making (LUCID), School of Computer Science, University of Nottingham, United Kingdom"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Laboratory for Uncertainty in Data and Decision Making (LUCID), School of Computer Science, University of Nottingham, United Kingdom","institution_ids":["https://openalex.org/I142263535"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5070095814","display_name":"Christian Wagner","orcid":"https://orcid.org/0000-0002-6121-9722"},"institutions":[{"id":"https://openalex.org/I142263535","display_name":"University of Nottingham","ror":"https://ror.org/01ee9ar58","country_code":"GB","type":"education","lineage":["https://openalex.org/I142263535"]}],"countries":["GB"],"is_corresponding":false,"raw_author_name":"Christian Wagner","raw_affiliation_strings":["Laboratory for Uncertainty in Data and Decision Making (LUCID), School of Computer Science, University of Nottingham, United Kingdom"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Laboratory for Uncertainty in Data and Decision Making (LUCID), School of Computer Science, University of Nottingham, United Kingdom","institution_ids":["https://openalex.org/I142263535"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":[],"corresponding_institution_ids":["https://openalex.org/I142263535"],"apc_list":null,"apc_paid":null,"fwci":null,"has_fulltext":false,"cited_by_count":8,"citation_normalized_percentile":null,"cited_by_percentile_year":null,"biblio":{"volume":null,"issue":null,"first_page":"1","last_page":"8"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10820","display_name":"Fuzzy Logic and Control Systems","score":0.9991000294685364,"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/T10820","display_name":"Fuzzy Logic and Control Systems","score":0.9991000294685364,"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/T10320","display_name":"Neural Networks and Applications","score":0.986299991607666,"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/T12135","display_name":"Fuzzy Systems and Optimization","score":0.9829999804496765,"subfield":{"id":"https://openalex.org/subfields/2613","display_name":"Statistics and Probability"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/measure","display_name":"Measure (data warehouse)","score":0.7181909680366516},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.6568136811256409},{"id":"https://openalex.org/keywords/fuzzy-logic","display_name":"Fuzzy logic","score":0.5542252063751221},{"id":"https://openalex.org/keywords/fuzzy-set","display_name":"Fuzzy set","score":0.44449153542518616},{"id":"https://openalex.org/keywords/fuzzy-control-system","display_name":"Fuzzy control system","score":0.42112189531326294},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.3658168315887451},{"id":"https://openalex.org/keywords/data-mining","display_name":"Data mining","score":0.3247252106666565}],"concepts":[{"id":"https://openalex.org/C2780009758","wikidata":"https://www.wikidata.org/wiki/Q6804172","display_name":"Measure (data warehouse)","level":2,"score":0.7181909680366516},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.6568136811256409},{"id":"https://openalex.org/C58166","wikidata":"https://www.wikidata.org/wiki/Q224821","display_name":"Fuzzy logic","level":2,"score":0.5542252063751221},{"id":"https://openalex.org/C42011625","wikidata":"https://www.wikidata.org/wiki/Q1055058","display_name":"Fuzzy set","level":3,"score":0.44449153542518616},{"id":"https://openalex.org/C195975749","wikidata":"https://www.wikidata.org/wiki/Q1475705","display_name":"Fuzzy control system","level":3,"score":0.42112189531326294},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.3658168315887451},{"id":"https://openalex.org/C124101348","wikidata":"https://www.wikidata.org/wiki/Q172491","display_name":"Data mining","level":1,"score":0.3247252106666565}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1109/fuzz48607.2020.9177736","is_oa":false,"landing_page_url":"https://doi.org/10.1109/fuzz48607.2020.9177736","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2020 IEEE International Conference on Fuzzy Systems (FUZZ-IEEE)","raw_type":"proceedings-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":40,"referenced_works":["https://openalex.org/W123511966","https://openalex.org/W202063358","https://openalex.org/W1573509572","https://openalex.org/W1964962870","https://openalex.org/W1973241904","https://openalex.org/W2002169100","https://openalex.org/W2003985069","https://openalex.org/W2016086965","https://openalex.org/W2016563381","https://openalex.org/W2022421417","https://openalex.org/W2027173927","https://openalex.org/W2027402490","https://openalex.org/W2029467722","https://openalex.org/W2031760375","https://openalex.org/W2036842160","https://openalex.org/W2038830572","https://openalex.org/W2041280856","https://openalex.org/W2041429155","https://openalex.org/W2058465495","https://openalex.org/W2084974221","https://openalex.org/W2111547651","https://openalex.org/W2119893066","https://openalex.org/W2125631815","https://openalex.org/W2138420432","https://openalex.org/W2140384587","https://openalex.org/W2152187914","https://openalex.org/W2153762799","https://openalex.org/W2158004375","https://openalex.org/W2158972934","https://openalex.org/W2159684045","https://openalex.org/W2501295153","https://openalex.org/W2501357522","https://openalex.org/W2611746572","https://openalex.org/W2799012172","https://openalex.org/W2896140141","https://openalex.org/W2944690288","https://openalex.org/W2954793192","https://openalex.org/W3003515803","https://openalex.org/W4297533757","https://openalex.org/W6843980445"],"related_works":["https://openalex.org/W4255837520","https://openalex.org/W2387011115","https://openalex.org/W4234808182","https://openalex.org/W2382043075","https://openalex.org/W2809151339","https://openalex.org/W2216913934","https://openalex.org/W2360673138","https://openalex.org/W2809370583","https://openalex.org/W4301447905","https://openalex.org/W135622916"],"abstract_inverted_index":{"Interpretability":[0],"is":[1,50,63,99,188],"an":[2],"important":[3],"and":[4,20,77,117,156,170,195],"necessary":[5],"topic":[6],"that":[7,109],"needs":[8],"to":[9,14,39,91,139,175,201],"be":[10,173],"discussed":[11],"in":[12,54,67,107,145,199,208],"relation":[13],"the":[15,42,55,61,72,87,93,111,126,147,177,180,189],"fields":[16],"of":[17,44,57,74,89,95,104,113,128,149,162,179,185,191,206],"Artificial":[18],"Intelligence":[19],"Machine":[21],"Learning.":[22],"Within":[23],"fuzzy":[24,29,78],"logic":[25],"systems":[26,30],"(FLSs),":[27],"hierarchical":[28],"(HFSs)":[31],"have":[32,82,110],"been":[33,132],"suggested":[34],"as":[35],"a":[36,51,68,101,142,192,203],"key":[37,52],"component":[38,53],"help":[40],"improve":[41],"interpretability":[43,56],"FLSs.":[45,58,96],"In":[46,59,134],"this":[47,98,135,186],"context,":[48],"complexity":[49,62,94,106,122,148,155,163,207],"FLSs,":[60],"commonly":[64],"expressed":[65],"using":[66],"rule-based":[69,154,194],"manner,":[70],"considering":[71],"number":[73,88],"rules,":[75],"variables,":[76],"terms.":[79],"Several":[80],"studies":[81],"used":[83],"indicators":[84],"(for":[85],"example,":[86],"rules)":[90],"measure":[92],"However,":[97],"not":[100,131],"perfect":[102],"way":[103],"assessing":[105,146],"HFSs":[108,129],"structure":[112,127],"multiple":[114],"subsystems,":[115],"layers":[116],"different":[118,165],"topologies.":[119],"Thus":[120],"far,":[121],"assessment":[123],"associated":[124],"with":[125],"has":[130],"discussed.":[133],"paper,":[136],"we":[137],"aim":[138],"put":[140],"forward":[141],"new":[143,181],"approach":[144,198],"HFSs,":[150],"which":[151],"will":[152,172],"combine":[153],"structural":[157,196],"complexity.":[158],"A":[159],"detailed":[160],"measurement":[161,205],"for":[164],"HFSs'":[166],"topologies,":[167],"namely":[168],"parallel":[169],"serial,":[171],"presented":[174],"showcase":[176],"features":[178],"approach.":[182],"The":[183],"contribution":[184],"paper":[187],"introduction":[190],"combined":[193],"complexities-based":[197],"order":[200],"establish":[202],"comprehensive":[204],"HFSs.":[209]},"counts_by_year":[{"year":2024,"cited_by_count":2},{"year":2023,"cited_by_count":1},{"year":2021,"cited_by_count":5}],"updated_date":"2026-07-14T23:27:15.235271","created_date":"2025-10-10T00:00:00"}
