{"id":"https://openalex.org/W4388517789","doi":"https://doi.org/10.1109/fuzz52849.2023.10309727","title":"Decomposing Conventional Fuzzy Logic Systems to Hierarchical Fuzzy Systems","display_name":"Decomposing Conventional Fuzzy Logic Systems to Hierarchical Fuzzy Systems","publication_year":2023,"publication_date":"2023-08-13","ids":{"openalex":"https://openalex.org/W4388517789","doi":"https://doi.org/10.1109/fuzz52849.2023.10309727"},"language":"en","primary_location":{"id":"doi:10.1109/fuzz52849.2023.10309727","is_oa":false,"landing_page_url":"https://doi.org/10.1109/fuzz52849.2023.10309727","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2023 IEEE International Conference on Fuzzy Systems (FUZZ)","raw_type":"proceedings-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/A5069314633","display_name":"Tajul Rosli Razak","orcid":"https://orcid.org/0000-0002-6389-8108"},"institutions":[{"id":"https://openalex.org/I82724352","display_name":"Universiti Teknologi MARA","ror":"https://ror.org/05n8tts92","country_code":"MY","type":"education","lineage":["https://openalex.org/I82724352"]}],"countries":["MY"],"is_corresponding":false,"raw_author_name":"Tajul Rosli Razak","raw_affiliation_strings":["School of Computing Sciences, College of Computing, Informatics and Media, Universiti Teknologi MARA,Selangor,Malaysia","School of Computing Sciences, College of Computing, Informatics and Media, Universiti Teknologi MARA, Selangor, Malaysia"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"School of Computing Sciences, College of Computing, Informatics and Media, Universiti Teknologi MARA,Selangor,Malaysia","institution_ids":["https://openalex.org/I82724352"]},{"raw_affiliation_string":"School of Computing Sciences, College of Computing, Informatics and Media, Universiti Teknologi MARA, Selangor, Malaysia","institution_ids":["https://openalex.org/I82724352"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5089049357","display_name":"Nor Hanimah Kamis","orcid":"https://orcid.org/0000-0002-9687-1454"},"institutions":[{"id":"https://openalex.org/I130343225","display_name":"Universiti Putra Malaysia","ror":"https://ror.org/02e91jd64","country_code":"MY","type":"education","lineage":["https://openalex.org/I130343225"]},{"id":"https://openalex.org/I82724352","display_name":"Universiti Teknologi MARA","ror":"https://ror.org/05n8tts92","country_code":"MY","type":"education","lineage":["https://openalex.org/I82724352"]}],"countries":["MY"],"is_corresponding":false,"raw_author_name":"Nor Hanimah Kamis","raw_affiliation_strings":["Institute for Mathematical Research (INSPEM), Universiti Putra Malaysia,Selangor,Malaysia","School of Mathematical Sciences, College of Computing, Informatics and Media, Universiti Teknologi MARA, Selangor, Malaysia","Institute for Mathematical Research (INSPEM), Universiti Putra Malaysia, Selangor, Malaysia"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Institute for Mathematical Research (INSPEM), Universiti Putra Malaysia,Selangor,Malaysia","institution_ids":["https://openalex.org/I130343225"]},{"raw_affiliation_string":"School of Mathematical Sciences, College of Computing, Informatics and Media, Universiti Teknologi MARA, Selangor, Malaysia","institution_ids":["https://openalex.org/I82724352"]},{"raw_affiliation_string":"Institute for Mathematical Research (INSPEM), Universiti Putra Malaysia, Selangor, Malaysia","institution_ids":["https://openalex.org/I130343225"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5004196384","display_name":"Nurul Hanan Anuar","orcid":null},"institutions":[{"id":"https://openalex.org/I82724352","display_name":"Universiti Teknologi MARA","ror":"https://ror.org/05n8tts92","country_code":"MY","type":"education","lineage":["https://openalex.org/I82724352"]}],"countries":["MY"],"is_corresponding":false,"raw_author_name":"Nurul Hanan Anuar","raw_affiliation_strings":["School of Computing Sciences, College of Computing, Informatics and Media, Universiti Teknologi MARA,Selangor,Malaysia","School of Computing Sciences, College of Computing, Informatics and Media, Universiti Teknologi MARA, Selangor, Malaysia"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"School of Computing Sciences, College of Computing, Informatics and Media, Universiti Teknologi MARA,Selangor,Malaysia","institution_ids":["https://openalex.org/I82724352"]},{"raw_affiliation_string":"School of Computing Sciences, College of Computing, Informatics and Media, Universiti Teknologi MARA, Selangor, Malaysia","institution_ids":["https://openalex.org/I82724352"]}]},{"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":["School of Computer Science, University of Nottingham,Laboratory for Uncertainty in Data and Decision Making (LUCID),United Kingdom","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":"School of Computer Science, University of Nottingham,Laboratory for Uncertainty in Data and Decision Making (LUCID),United Kingdom","institution_ids":["https://openalex.org/I142263535"]},{"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":["School of Computer Science, University of Nottingham,Laboratory for Uncertainty in Data and Decision Making (LUCID),United Kingdom","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":"School of Computer Science, University of Nottingham,Laboratory for Uncertainty in Data and Decision Making (LUCID),United Kingdom","institution_ids":["https://openalex.org/I142263535"]},{"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":2,"institutions_distinct_count":5,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":0.8158,"has_fulltext":false,"cited_by_count":5,"citation_normalized_percentile":{"value":0.78762842,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":98},"biblio":{"volume":null,"issue":null,"first_page":"1","last_page":"7"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10820","display_name":"Fuzzy Logic and Control Systems","score":0.9997000098228455,"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":0.9997000098228455,"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/T10050","display_name":"Multi-Criteria Decision Making","score":0.9810000061988831,"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"}},{"id":"https://openalex.org/T10320","display_name":"Neural Networks and Applications","score":0.9799000024795532,"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/hfss","display_name":"HFSS","score":0.8452467918395996},{"id":"https://openalex.org/keywords/fuzzy-logic","display_name":"Fuzzy logic","score":0.7655162811279297},{"id":"https://openalex.org/keywords/interpretability","display_name":"Interpretability","score":0.6970585584640503},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.5950617790222168},{"id":"https://openalex.org/keywords/process","display_name":"Process (computing)","score":0.44647231698036194},{"id":"https://openalex.org/keywords/fuzzy-control-system","display_name":"Fuzzy control system","score":0.44314876198768616},{"id":"https://openalex.org/keywords/fuzzy-set","display_name":"Fuzzy set","score":0.43224453926086426},{"id":"https://openalex.org/keywords/variable","display_name":"Variable (mathematics)","score":0.42349040508270264},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.4011632800102234},{"id":"https://openalex.org/keywords/machine-learning","display_name":"Machine learning","score":0.3579019010066986},{"id":"https://openalex.org/keywords/theoretical-computer-science","display_name":"Theoretical computer science","score":0.33244818449020386},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.31355851888656616}],"concepts":[{"id":"https://openalex.org/C2776844852","wikidata":"https://www.wikidata.org/wiki/Q106872782","display_name":"HFSS","level":4,"score":0.8452467918395996},{"id":"https://openalex.org/C58166","wikidata":"https://www.wikidata.org/wiki/Q224821","display_name":"Fuzzy logic","level":2,"score":0.7655162811279297},{"id":"https://openalex.org/C2781067378","wikidata":"https://www.wikidata.org/wiki/Q17027399","display_name":"Interpretability","level":2,"score":0.6970585584640503},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.5950617790222168},{"id":"https://openalex.org/C98045186","wikidata":"https://www.wikidata.org/wiki/Q205663","display_name":"Process (computing)","level":2,"score":0.44647231698036194},{"id":"https://openalex.org/C195975749","wikidata":"https://www.wikidata.org/wiki/Q1475705","display_name":"Fuzzy control system","level":3,"score":0.44314876198768616},{"id":"https://openalex.org/C42011625","wikidata":"https://www.wikidata.org/wiki/Q1055058","display_name":"Fuzzy set","level":3,"score":0.43224453926086426},{"id":"https://openalex.org/C182365436","wikidata":"https://www.wikidata.org/wiki/Q50701","display_name":"Variable (mathematics)","level":2,"score":0.42349040508270264},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.4011632800102234},{"id":"https://openalex.org/C119857082","wikidata":"https://www.wikidata.org/wiki/Q2539","display_name":"Machine learning","level":1,"score":0.3579019010066986},{"id":"https://openalex.org/C80444323","wikidata":"https://www.wikidata.org/wiki/Q2878974","display_name":"Theoretical computer science","level":1,"score":0.33244818449020386},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.31355851888656616},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.0},{"id":"https://openalex.org/C76155785","wikidata":"https://www.wikidata.org/wiki/Q418","display_name":"Telecommunications","level":1,"score":0.0},{"id":"https://openalex.org/C170349913","wikidata":"https://www.wikidata.org/wiki/Q13402882","display_name":"Microstrip antenna","level":3,"score":0.0},{"id":"https://openalex.org/C111919701","wikidata":"https://www.wikidata.org/wiki/Q9135","display_name":"Operating system","level":1,"score":0.0},{"id":"https://openalex.org/C21822782","wikidata":"https://www.wikidata.org/wiki/Q131214","display_name":"Antenna (radio)","level":2,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1109/fuzz52849.2023.10309727","is_oa":false,"landing_page_url":"https://doi.org/10.1109/fuzz52849.2023.10309727","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2023 IEEE International Conference on Fuzzy Systems (FUZZ)","raw_type":"proceedings-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[{"id":"https://openalex.org/F4320322780","display_name":"Universiti Teknologi MARA","ror":"https://ror.org/05n8tts92"}],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":21,"referenced_works":["https://openalex.org/W1518624115","https://openalex.org/W1892399156","https://openalex.org/W1968671357","https://openalex.org/W1973994378","https://openalex.org/W2027402490","https://openalex.org/W2029467722","https://openalex.org/W2038830572","https://openalex.org/W2089767545","https://openalex.org/W2152187914","https://openalex.org/W2153762799","https://openalex.org/W2168448725","https://openalex.org/W2171539475","https://openalex.org/W2501295153","https://openalex.org/W2611746572","https://openalex.org/W2896140141","https://openalex.org/W2944690288","https://openalex.org/W3003515803","https://openalex.org/W3187817980","https://openalex.org/W4233859481","https://openalex.org/W4237171445","https://openalex.org/W6843980445"],"related_works":["https://openalex.org/W2905433371","https://openalex.org/W4390569940","https://openalex.org/W2888392564","https://openalex.org/W4361193272","https://openalex.org/W4310278675","https://openalex.org/W4388422664","https://openalex.org/W2806259446","https://openalex.org/W2963326959","https://openalex.org/W4312407344","https://openalex.org/W3087715009"],"abstract_inverted_index":{"Hierarchical":[0],"Fuzzy":[1,17],"Systems":[2,19],"(HFSs)":[3],"have":[4,54],"been":[5],"viewed":[6],"as":[7],"a":[8,13,40,48,128,172],"promising":[9],"option":[10],"to":[11,83,100,135,144,152,161,174,178,189,203],"overcoming":[12,195],"fundamental":[14],"problem":[15],"in":[16,29,51,61,157,194,198],"Logic":[18],"(FLSs),":[20],"namely":[21],"the":[22,34,70,95,101,137,146,155,163,190,196,199],"rule":[23,85],"explosion":[24],"associated":[25],"with":[26,56],"an":[27],"increase":[28],"input":[30,73,138],"variables.":[31],"In":[32,121],"HFSs,":[33],"original":[35],"FLS":[36,202],"is":[37,78,97,127],"decomposed":[38],"into":[39],"number":[41,71],"of":[42,72,75,104,148,201],"low-dimensional":[43],"fuzzy":[44,125,180],"logic":[45],"subsystems.":[46],"As":[47],"result,":[49],"rules":[50,60,117,164],"HFSs":[52,81,96],"typically":[53],"antecedents":[55],"fewer":[57],"variables":[58,74],"than":[59],"FLSs":[62,177],"which":[63],"compute":[64],"similar":[65],"function":[66],"mappings,":[67],"given":[68],"that":[69],"each":[76,119,141,166],"subsystem":[77,114],"smaller.":[79],"Consequently,":[80],"tend":[82],"limit":[84],"explosion,":[86],"lowering":[87],"complexity":[88],"and":[89,113,116,159],"enhancing":[90],"model":[91],"interpretability.":[92],"However,":[93],"developing":[94],"difficult":[98],"due":[99],"added":[102],"issue":[103],"designing":[105],"suitable":[106],"architecture":[107],"(i.e.,":[108],"various":[109],"subsystems,":[110],"levels,":[111],"topologies,":[112],"interactions)":[115],"for":[118,140,165],"subsystem.":[120],"fact,":[122],"decomposing":[123],"conventional":[124,176],"system":[126],"challenging":[129],"task.":[130],"The":[131],"difficulties":[132,197],"include:":[133],"\u201cHow":[134,143,151,160],"select":[136],"variable":[139],"subsystem\u201d,":[142],"improve":[145],"meaning":[147],"intermediate":[149],"variable?\u201d,":[150],"link":[153],"all":[154],"subsystems":[156],"HFSs?\u201d,":[158],"design":[162],"subsystem?\u201d":[167],"Hence,":[168],"this":[169],"paper":[170],"presents":[171],"method":[173,187],"convert":[175],"hierarchical":[179],"systems":[181],"using":[182],"two":[183],"key":[184],"steps.":[185],"This":[186],"contributes":[188],"process":[191],"or":[192],"guidelines":[193],"decomposition":[200],"HFS.":[204]},"counts_by_year":[{"year":2024,"cited_by_count":4},{"year":2023,"cited_by_count":1}],"updated_date":"2026-06-11T09:08:48.828518","created_date":"2025-10-10T00:00:00"}