{"id":"https://openalex.org/W2148081618","doi":"https://doi.org/10.1109/icsmc.2008.4811406","title":"Structural expansion of fuzzy relations and its role in interactive system modeling","display_name":"Structural expansion of fuzzy relations and its role in interactive system modeling","publication_year":2008,"publication_date":"2008-10-01","ids":{"openalex":"https://openalex.org/W2148081618","doi":"https://doi.org/10.1109/icsmc.2008.4811406","mag":"2148081618"},"language":"en","primary_location":{"id":"doi:10.1109/icsmc.2008.4811406","is_oa":false,"landing_page_url":"https://doi.org/10.1109/icsmc.2008.4811406","pdf_url":null,"source":{"id":"https://openalex.org/S4210195764","display_name":"Conference proceedings/Conference proceedings - IEEE International Conference on Systems, Man, and Cybernetics","issn_l":"1062-922X","issn":["1062-922X","2577-1655"],"is_oa":false,"is_in_doaj":false,"is_core":false,"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":"conference"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2008 IEEE International Conference on Systems, Man and Cybernetics","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/A5059719162","display_name":"Adam Pedrycz","orcid":null},"institutions":[{"id":"https://openalex.org/I114531698","display_name":"Tokyo Institute of Technology","ror":"https://ror.org/0112mx960","country_code":"JP","type":"education","lineage":["https://openalex.org/I114531698"]}],"countries":["JP"],"is_corresponding":false,"raw_author_name":"Adam Pedrycz","raw_affiliation_strings":["Department of Computational Intelligence and Systems Science, Tokyo Institute of Technology, Yokohama, Japan"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Computational Intelligence and Systems Science, Tokyo Institute of Technology, Yokohama, Japan","institution_ids":["https://openalex.org/I114531698"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5052095618","display_name":"Fangyan Dong","orcid":"https://orcid.org/0000-0001-5958-5734"},"institutions":[{"id":"https://openalex.org/I114531698","display_name":"Tokyo Institute of Technology","ror":"https://ror.org/0112mx960","country_code":"JP","type":"education","lineage":["https://openalex.org/I114531698"]}],"countries":["JP"],"is_corresponding":false,"raw_author_name":"Fangyan Dong","raw_affiliation_strings":["Department of Computational Intelligence and Systems Science, Tokyo Institute of Technology, Yokohama, Japan"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Computational Intelligence and Systems Science, Tokyo Institute of Technology, Yokohama, Japan","institution_ids":["https://openalex.org/I114531698"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5066941401","display_name":"Kaoru Hirota","orcid":"https://orcid.org/0000-0001-5347-6182"},"institutions":[{"id":"https://openalex.org/I114531698","display_name":"Tokyo Institute of Technology","ror":"https://ror.org/0112mx960","country_code":"JP","type":"education","lineage":["https://openalex.org/I114531698"]}],"countries":["JP"],"is_corresponding":false,"raw_author_name":"Kaoru Hirota","raw_affiliation_strings":["Department of Computational Intelligence and Systems Science, Tokyo Institute of Technology, Yokohama, Japan"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Computational Intelligence and Systems Science, Tokyo Institute of Technology, Yokohama, Japan","institution_ids":["https://openalex.org/I114531698"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":[],"corresponding_institution_ids":["https://openalex.org/I114531698"],"apc_list":null,"apc_paid":null,"fwci":null,"has_fulltext":false,"cited_by_count":0,"citation_normalized_percentile":null,"cited_by_percentile_year":null,"biblio":{"volume":null,"issue":null,"first_page":"968","last_page":"973"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11063","display_name":"Rough Sets and Fuzzy Logic","score":0.9958999752998352,"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"}},"topics":[{"id":"https://openalex.org/T11063","display_name":"Rough Sets and Fuzzy Logic","score":0.9958999752998352,"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"}},{"id":"https://openalex.org/T10820","display_name":"Fuzzy Logic and Control Systems","score":0.9909999966621399,"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/T11106","display_name":"Data Management and Algorithms","score":0.9868999719619751,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/fuzzy-logic","display_name":"Fuzzy logic","score":0.6931738257408142},{"id":"https://openalex.org/keywords/fuzzy-set","display_name":"Fuzzy set","score":0.5208849906921387},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.5117158889770508},{"id":"https://openalex.org/keywords/defuzzification","display_name":"Defuzzification","score":0.5014858245849609},{"id":"https://openalex.org/keywords/fuzzy-set-operations","display_name":"Fuzzy set operations","score":0.456174373626709},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.45328783988952637},{"id":"https://openalex.org/keywords/fuzzy-classification","display_name":"Fuzzy classification","score":0.44591522216796875},{"id":"https://openalex.org/keywords/curse-of-dimensionality","display_name":"Curse of dimensionality","score":0.43176740407943726},{"id":"https://openalex.org/keywords/generality","display_name":"Generality","score":0.43134182691574097},{"id":"https://openalex.org/keywords/fuzzy-number","display_name":"Fuzzy number","score":0.4253700375556946},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.37898576259613037},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.3779650330543518}],"concepts":[{"id":"https://openalex.org/C58166","wikidata":"https://www.wikidata.org/wiki/Q224821","display_name":"Fuzzy logic","level":2,"score":0.6931738257408142},{"id":"https://openalex.org/C42011625","wikidata":"https://www.wikidata.org/wiki/Q1055058","display_name":"Fuzzy set","level":3,"score":0.5208849906921387},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5117158889770508},{"id":"https://openalex.org/C170260401","wikidata":"https://www.wikidata.org/wiki/Q5251735","display_name":"Defuzzification","level":5,"score":0.5014858245849609},{"id":"https://openalex.org/C148671577","wikidata":"https://www.wikidata.org/wiki/Q5511133","display_name":"Fuzzy set operations","level":4,"score":0.456174373626709},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.45328783988952637},{"id":"https://openalex.org/C127385683","wikidata":"https://www.wikidata.org/wiki/Q1475696","display_name":"Fuzzy classification","level":4,"score":0.44591522216796875},{"id":"https://openalex.org/C111030470","wikidata":"https://www.wikidata.org/wiki/Q1430460","display_name":"Curse of dimensionality","level":2,"score":0.43176740407943726},{"id":"https://openalex.org/C2780767217","wikidata":"https://www.wikidata.org/wiki/Q5532421","display_name":"Generality","level":2,"score":0.43134182691574097},{"id":"https://openalex.org/C1883856","wikidata":"https://www.wikidata.org/wiki/Q3407463","display_name":"Fuzzy number","level":4,"score":0.4253700375556946},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.37898576259613037},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.3779650330543518},{"id":"https://openalex.org/C15744967","wikidata":"https://www.wikidata.org/wiki/Q9418","display_name":"Psychology","level":0,"score":0.0},{"id":"https://openalex.org/C542102704","wikidata":"https://www.wikidata.org/wiki/Q183257","display_name":"Psychotherapist","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1109/icsmc.2008.4811406","is_oa":false,"landing_page_url":"https://doi.org/10.1109/icsmc.2008.4811406","pdf_url":null,"source":{"id":"https://openalex.org/S4210195764","display_name":"Conference proceedings/Conference proceedings - IEEE International Conference on Systems, Man, and Cybernetics","issn_l":"1062-922X","issn":["1062-922X","2577-1655"],"is_oa":false,"is_in_doaj":false,"is_core":false,"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":"conference"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2008 IEEE International Conference on Systems, Man and Cybernetics","raw_type":"proceedings-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":10,"referenced_works":["https://openalex.org/W1969661832","https://openalex.org/W1971784203","https://openalex.org/W1986302899","https://openalex.org/W2054726552","https://openalex.org/W2060878354","https://openalex.org/W2091882643","https://openalex.org/W2107974341","https://openalex.org/W2113076747","https://openalex.org/W2226523554","https://openalex.org/W2319660501"],"related_works":["https://openalex.org/W2184441312","https://openalex.org/W1485268022","https://openalex.org/W2331106272","https://openalex.org/W1975005191","https://openalex.org/W3176863924","https://openalex.org/W1542808721","https://openalex.org/W2253053392","https://openalex.org/W173448675","https://openalex.org/W4388451300","https://openalex.org/W4361984403"],"abstract_inverted_index":{"This":[0],"study":[1],"is":[2,36,62,82,160,212],"concerned":[3],"with":[4,17,229,232],"a":[5,18,39,65,113,162],"concept":[6,156],"of":[7,10,21,41,47,55,91,104,134,147,152,157,161,165,189,202,209,222,226,236,240],"structural":[8,135,158,227],"expansion":[9,61,94,124,136,142,159,211,228],"fuzzy":[11,24,49,53,69,106,119,173,178,203],"relations.":[12],"Roughly":[13],"speaking,":[14],"when":[15],"dealing":[16],"finite":[19],"family":[20],"highly":[22],"dimensional":[23],"relations":[25,54,174],"R":[26],"<inf":[27],"xmlns:mml=\"http://www.w3.org/1998/Math/MathML\"":[28],"xmlns:xlink=\"http://www.w3.org/1999/xlink\">i</inf>":[29],",":[30],"i":[31],"=":[32],"1,2,\u2026c,":[33],"the":[34,110,118,123,145,155,190,197,207,210,233],"intent":[35],"to":[37,67,74,183],"provide":[38],"way":[40],"expressing":[42],"them":[43],"as":[44,64,112,206,244],"Cartesian":[45],"products":[46],"some":[48,78,216],"sets":[50,70,120,204],"and":[51,76,150,238],"\u201creduced\u201d":[52],"lower":[56],"dimensionality.":[57],"More":[58],"descriptively,":[59],"this":[60,168],"regarded":[63],"vehicle":[66],"isolate":[68],"which":[71,81],"are":[72,137,175,242],"easy":[73],"interpret":[75],"retain":[77],"relational":[79],"\u201cremainder\u201d":[80],"far":[83],"less":[84],"interpretable":[85],"yet":[86],"still":[87],"effective":[88],"in":[89,122,167,196],"terms":[90],"processing.":[92],"The":[93,224],"process":[95,125],"can":[96,192],"be":[97,184,193],"performed":[98],"stepwise":[99],"by":[100,220],"moving":[101],"toward":[102],"isolation":[103],"more":[105],"sets.":[107],"We":[108,139],"formulate":[109],"problem":[111],"certain":[114],"optimization":[115,198],"task":[116],"where":[117],"obtained":[121,205],"minimize":[126],"an":[127],"underlying":[128],"performance":[129],"index.":[130],"Two":[131],"main":[132],"strategies":[133],"discussed.":[138],"distinguish":[140],"between":[141],"relying":[143],"on":[144],"use":[146],"individual":[148],"variables":[149],"collections":[151],"variables.":[153],"While":[154],"substantial":[163],"level":[164],"generality,":[166],"study,":[169],"we":[170],"assume":[171],"that":[172,187],"formed":[176],"through":[177,215],"clustering":[179],"(Fuzzy":[180],"C-Means,":[181],"FCM":[182],"brief)":[185],"so":[186],"prototypes":[188],"clusters":[191],"directly":[194],"used":[195],"procedure.":[199],"Further":[200],"refinement":[201],"result":[208],"carried":[213],"out":[214],"logic":[217],"transformation":[218],"realized":[219],"means":[221],"uninorms.":[223],"links":[225],"rule-based":[230],"computing":[231],"related":[234],"issue":[235],"interpretability":[237],"effectiveness":[239],"processing":[241],"discussed":[243],"well.":[245]},"counts_by_year":[],"updated_date":"2026-07-14T23:27:15.235271","created_date":"2025-10-10T00:00:00"}
