{"id":"https://openalex.org/W4387350869","doi":"https://doi.org/10.1109/tfuzz.2023.3321921","title":"A Trend-Granulation-Based Fuzzy C-Means Algorithm for Clustering Interval-Valued Time Series","display_name":"A Trend-Granulation-Based Fuzzy C-Means Algorithm for Clustering Interval-Valued Time Series","publication_year":2023,"publication_date":"2023-10-04","ids":{"openalex":"https://openalex.org/W4387350869","doi":"https://doi.org/10.1109/tfuzz.2023.3321921"},"language":"en","primary_location":{"id":"doi:10.1109/tfuzz.2023.3321921","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tfuzz.2023.3321921","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/A5100778575","display_name":"Zonglin Yang","orcid":"https://orcid.org/0009-0006-6514-0284"},"institutions":[{"id":"https://openalex.org/I25254941","display_name":"Beijing Normal University","ror":"https://ror.org/022k4wk35","country_code":"CN","type":"education","lineage":["https://openalex.org/I25254941"]}],"countries":["CN"],"is_corresponding":true,"raw_author_name":"Zonglin Yang","raw_affiliation_strings":["School of Mathematical Sciences and the Key Laboratory of Mathematics and Complex Systems, Ministry of Education, Beijing Normal University, Beijing, China"],"affiliations":[{"raw_affiliation_string":"School of Mathematical Sciences and the Key Laboratory of Mathematics and Complex Systems, Ministry of Education, Beijing Normal University, Beijing, China","institution_ids":["https://openalex.org/I25254941"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5075869337","display_name":"Fusheng Yu","orcid":null},"institutions":[{"id":"https://openalex.org/I25254941","display_name":"Beijing Normal University","ror":"https://ror.org/022k4wk35","country_code":"CN","type":"education","lineage":["https://openalex.org/I25254941"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Fusheng Yu","raw_affiliation_strings":["School of Mathematical Sciences and the Key Laboratory of Mathematics and Complex Systems, Ministry of Education, Beijing Normal University, Beijing, China"],"affiliations":[{"raw_affiliation_string":"School of Mathematical Sciences and the Key Laboratory of Mathematics and Complex Systems, Ministry of Education, Beijing Normal University, Beijing, China","institution_ids":["https://openalex.org/I25254941"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5003799782","display_name":"Witold Pedrycz","orcid":"https://orcid.org/0000-0002-9335-9930"},"institutions":[{"id":"https://openalex.org/I154425047","display_name":"University of Alberta","ror":"https://ror.org/0160cpw27","country_code":"CA","type":"education","lineage":["https://openalex.org/I154425047"]}],"countries":["CA"],"is_corresponding":false,"raw_author_name":"Witold Pedrycz","raw_affiliation_strings":["Department of Electrical and Computer Engineering, University of Alberta, Edmonton, AB, Canada"],"affiliations":[{"raw_affiliation_string":"Department of Electrical and Computer Engineering, University of Alberta, Edmonton, AB, Canada","institution_ids":["https://openalex.org/I154425047"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5101555265","display_name":"Huilin Yang","orcid":"https://orcid.org/0009-0006-3811-9471"},"institutions":[{"id":"https://openalex.org/I25254941","display_name":"Beijing Normal University","ror":"https://ror.org/022k4wk35","country_code":"CN","type":"education","lineage":["https://openalex.org/I25254941"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Huilin Yang","raw_affiliation_strings":["School of Mathematical Sciences and the Key Laboratory of Mathematics and Complex Systems, Ministry of Education, Beijing Normal University, Beijing, China"],"affiliations":[{"raw_affiliation_string":"School of Mathematical Sciences and the Key Laboratory of Mathematics and Complex Systems, Ministry of Education, Beijing Normal University, Beijing, China","institution_ids":["https://openalex.org/I25254941"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5071179460","display_name":"Yuqing Tang","orcid":"https://orcid.org/0000-0002-5919-1804"},"institutions":[{"id":"https://openalex.org/I25254941","display_name":"Beijing Normal University","ror":"https://ror.org/022k4wk35","country_code":"CN","type":"education","lineage":["https://openalex.org/I25254941"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Yuqing Tang","raw_affiliation_strings":["School of Mathematical Sciences and the Key Laboratory of Mathematics and Complex Systems, Ministry of Education, Beijing Normal University, Beijing, China"],"affiliations":[{"raw_affiliation_string":"School of Mathematical Sciences and the Key Laboratory of Mathematics and Complex Systems, Ministry of Education, Beijing Normal University, Beijing, China","institution_ids":["https://openalex.org/I25254941"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5002771983","display_name":"Chenxi Ouyang","orcid":"https://orcid.org/0000-0001-7653-1631"},"institutions":[{"id":"https://openalex.org/I25254941","display_name":"Beijing Normal University","ror":"https://ror.org/022k4wk35","country_code":"CN","type":"education","lineage":["https://openalex.org/I25254941"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Chenxi Ouyang","raw_affiliation_strings":["School of Mathematical Sciences and the Key Laboratory of Mathematics and Complex Systems, Ministry of Education, Beijing Normal University, Beijing, China"],"affiliations":[{"raw_affiliation_string":"School of Mathematical Sciences and the Key Laboratory of Mathematics and Complex Systems, Ministry of Education, Beijing Normal University, Beijing, China","institution_ids":["https://openalex.org/I25254941"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":6,"corresponding_author_ids":["https://openalex.org/A5100778575"],"corresponding_institution_ids":["https://openalex.org/I25254941"],"apc_list":null,"apc_paid":null,"fwci":0.6029,"has_fulltext":false,"cited_by_count":3,"citation_normalized_percentile":{"value":0.66117545,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":99},"biblio":{"volume":"32","issue":"3","first_page":"1263","last_page":"1277"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T12205","display_name":"Time Series Analysis and Forecasting","score":0.9998999834060669,"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":0.9998999834060669,"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/T11106","display_name":"Data Management and Algorithms","score":0.9621000289916992,"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/T11270","display_name":"Complex Systems and Time Series Analysis","score":0.955299973487854,"subfield":{"id":"https://openalex.org/subfields/2002","display_name":"Economics and Econometrics"},"field":{"id":"https://openalex.org/fields/20","display_name":"Economics, Econometrics and Finance"},"domain":{"id":"https://openalex.org/domains/2","display_name":"Social Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/cluster-analysis","display_name":"Cluster analysis","score":0.7260750532150269},{"id":"https://openalex.org/keywords/fuzzy-logic","display_name":"Fuzzy logic","score":0.5707710981369019},{"id":"https://openalex.org/keywords/initialization","display_name":"Initialization","score":0.569129467010498},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.5516107678413391},{"id":"https://openalex.org/keywords/fuzzy-clustering","display_name":"Fuzzy clustering","score":0.54522705078125},{"id":"https://openalex.org/keywords/granulation","display_name":"Granulation","score":0.5343562364578247},{"id":"https://openalex.org/keywords/granular-computing","display_name":"Granular computing","score":0.5183642506599426},{"id":"https://openalex.org/keywords/data-mining","display_name":"Data mining","score":0.5178651809692383},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.5129575133323669},{"id":"https://openalex.org/keywords/dynamic-time-warping","display_name":"Dynamic time warping","score":0.5091957449913025},{"id":"https://openalex.org/keywords/flame-clustering","display_name":"FLAME clustering","score":0.4679011106491089},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.3843952417373657},{"id":"https://openalex.org/keywords/pattern-recognition","display_name":"Pattern recognition (psychology)","score":0.36745959520339966},{"id":"https://openalex.org/keywords/cure-data-clustering-algorithm","display_name":"CURE data clustering algorithm","score":0.3350730836391449},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.3132777810096741},{"id":"https://openalex.org/keywords/rough-set","display_name":"Rough set","score":0.06308907270431519}],"concepts":[{"id":"https://openalex.org/C73555534","wikidata":"https://www.wikidata.org/wiki/Q622825","display_name":"Cluster analysis","level":2,"score":0.7260750532150269},{"id":"https://openalex.org/C58166","wikidata":"https://www.wikidata.org/wiki/Q224821","display_name":"Fuzzy logic","level":2,"score":0.5707710981369019},{"id":"https://openalex.org/C114466953","wikidata":"https://www.wikidata.org/wiki/Q6034165","display_name":"Initialization","level":2,"score":0.569129467010498},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.5516107678413391},{"id":"https://openalex.org/C17212007","wikidata":"https://www.wikidata.org/wiki/Q5511111","display_name":"Fuzzy clustering","level":3,"score":0.54522705078125},{"id":"https://openalex.org/C88463166","wikidata":"https://www.wikidata.org/wiki/Q1543243","display_name":"Granulation","level":2,"score":0.5343562364578247},{"id":"https://openalex.org/C17209119","wikidata":"https://www.wikidata.org/wiki/Q5596712","display_name":"Granular computing","level":3,"score":0.5183642506599426},{"id":"https://openalex.org/C124101348","wikidata":"https://www.wikidata.org/wiki/Q172491","display_name":"Data mining","level":1,"score":0.5178651809692383},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.5129575133323669},{"id":"https://openalex.org/C88516994","wikidata":"https://www.wikidata.org/wiki/Q1268863","display_name":"Dynamic time warping","level":2,"score":0.5091957449913025},{"id":"https://openalex.org/C44859942","wikidata":"https://www.wikidata.org/wiki/Q5426511","display_name":"FLAME clustering","level":5,"score":0.4679011106491089},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.3843952417373657},{"id":"https://openalex.org/C153180895","wikidata":"https://www.wikidata.org/wiki/Q7148389","display_name":"Pattern recognition (psychology)","level":2,"score":0.36745959520339966},{"id":"https://openalex.org/C33704608","wikidata":"https://www.wikidata.org/wiki/Q5014717","display_name":"CURE data clustering algorithm","level":4,"score":0.3350730836391449},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.3132777810096741},{"id":"https://openalex.org/C111012933","wikidata":"https://www.wikidata.org/wiki/Q3137210","display_name":"Rough set","level":2,"score":0.06308907270431519},{"id":"https://openalex.org/C74650414","wikidata":"https://www.wikidata.org/wiki/Q11397","display_name":"Classical mechanics","level":1,"score":0.0},{"id":"https://openalex.org/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","level":1,"score":0.0},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1109/tfuzz.2023.3321921","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tfuzz.2023.3321921","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":[{"id":"https://openalex.org/G1562393198","display_name":null,"funder_award_id":"11971065","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G567953962","display_name":null,"funder_award_id":"12371453","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G6859631733","display_name":null,"funder_award_id":"61966039","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G7290704189","display_name":null,"funder_award_id":"12201396","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":54,"referenced_works":["https://openalex.org/W1508255035","https://openalex.org/W1561522422","https://openalex.org/W1894414046","https://openalex.org/W1918275453","https://openalex.org/W1952331239","https://openalex.org/W1970754582","https://openalex.org/W1989280111","https://openalex.org/W1996516511","https://openalex.org/W1997336782","https://openalex.org/W2003243224","https://openalex.org/W2004618158","https://openalex.org/W2007961939","https://openalex.org/W2008348094","https://openalex.org/W2027006788","https://openalex.org/W2037537012","https://openalex.org/W2040579227","https://openalex.org/W2054050358","https://openalex.org/W2084616221","https://openalex.org/W2088866250","https://openalex.org/W2089700840","https://openalex.org/W2097747115","https://openalex.org/W2099088086","https://openalex.org/W2100718094","https://openalex.org/W2109820980","https://openalex.org/W2128160875","https://openalex.org/W2130105489","https://openalex.org/W2147846500","https://openalex.org/W2157423047","https://openalex.org/W2161078209","https://openalex.org/W2217851884","https://openalex.org/W2302056359","https://openalex.org/W2410961113","https://openalex.org/W2550257869","https://openalex.org/W2622816133","https://openalex.org/W2791449998","https://openalex.org/W2897998689","https://openalex.org/W2912614114","https://openalex.org/W2913840783","https://openalex.org/W2928373814","https://openalex.org/W2929291387","https://openalex.org/W2946345288","https://openalex.org/W2946461872","https://openalex.org/W3000384276","https://openalex.org/W3007707958","https://openalex.org/W3134585217","https://openalex.org/W3201019813","https://openalex.org/W4235169531","https://openalex.org/W4285132771","https://openalex.org/W4306768860","https://openalex.org/W6602235367","https://openalex.org/W6604828220","https://openalex.org/W6641027421","https://openalex.org/W6679651670","https://openalex.org/W6767273713"],"related_works":["https://openalex.org/W2889473066","https://openalex.org/W2887262172","https://openalex.org/W2399084168","https://openalex.org/W2797947728","https://openalex.org/W2358058270","https://openalex.org/W2388975486","https://openalex.org/W2363880636","https://openalex.org/W2491448268","https://openalex.org/W65020826","https://openalex.org/W2892323093"],"abstract_inverted_index":{"Along":[0],"with":[1,112,179,199],"the":[2,6,11,39,72,114,138,143,152,160,165,171,180,200,205,238,263,269],"abundant":[3],"appearance":[4],"of":[5,41,93,110,124,134,183,202,207],"interval-valued":[7],"time":[8,33,154],"series":[9],"(ITS),":[10],"study":[12],"on":[13],"ITS":[14,18,43,59,86,96,116,147],"clustering,":[15,19],"especially":[16],"shape-based":[17,42,253],"is":[20,117,148,168,192,222,233,260],"becoming":[21],"increasingly":[22],"important.":[23],"As":[24],"an":[25],"effective":[26],"approach":[27,198],"to":[28,70,79,169,177,224,236],"extracting":[29,47],"trend":[30,36,48],"information":[31,49,128],"in":[32,50],"series,":[34],"fuzzy":[35,75,81,108,127,161,243],"granulation":[37],"addresses":[38],"needs":[40],"clustering.":[44,87],"However,":[45],"when":[46],"ITS,":[51,111,121,249],"unequal-size":[52],"granules":[53,129],"are":[54,104],"inevitably":[55],"produced,":[56],"which":[57,113,122,209,259],"makes":[58,211],"clustering":[60,239,248,254],"difficult":[61],"and":[62,100,131,219],"challenging.":[63],"Facing":[64],"this":[65,67,89,226],"issue,":[66],"article":[68],"aims":[69],"generalize":[71],"widely":[73],"used":[74],"C-means":[76],"(FCM)":[77],"algorithm":[78,84,221,246],"a":[80,91,193,216,229,251],"trend-granulation-based":[82,162,244],"FCM":[83,163,245],"for":[85,107,173,247],"To":[88],"end,":[90],"suite":[92],"algorithms,":[94,103],"including":[95],"segmenting,":[97],"segment":[98],"merging,":[99],"granule":[101,217],"building":[102],"first":[105],"developed":[106,150],"trend-granulation":[109],"given":[115],"transformed":[118],"into":[119],"granular":[120,146,184],"consists":[123],"double":[125],"linear":[126],"(DLFIGs)":[130],"may":[132],"be":[133],"different":[135],"lengths.":[136],"With":[137],"defined":[139],"distance":[140,144],"between":[141,145],"DLFIGs,":[142],"further":[149],"through":[151],"dynamic":[153],"warping":[155],"(DTW)":[156],"algorithm.":[157],"In":[158],"designing":[159],"algorithm,":[164,255],"key":[166],"step":[167],"design":[170],"method":[172,191,232],"updating":[174,197],"cluster":[175],"prototypes":[176,212],"cope":[178],"unequal":[181],"lengths":[182,206],"ITS.":[185],"The":[186,241],"weighted":[187],"DTW":[188],"barycenter":[189],"averaging":[190],"previously":[194],"adopted":[195],"prototype":[196,230],"drawback":[201],"hardly":[203],"changing":[204],"prototypes,":[208],"often":[210],"less":[213],"representative.":[214],"Thus,":[215],"splitting":[218],"merging":[220],"designed":[223],"resolve":[225],"issue.":[227],"Additionally,":[228],"initialization":[231],"also":[234],"proposed":[235,242],"improve":[237],"performance.":[240],"being":[250],"typical":[252],"exhibits":[256],"superior":[257],"performance,":[258],"validated":[261],"by":[262],"ablation":[264],"experiments":[265],"as":[266,268],"well":[267],"comparative":[270],"experiments.":[271]},"counts_by_year":[{"year":2026,"cited_by_count":1},{"year":2025,"cited_by_count":1},{"year":2024,"cited_by_count":1}],"updated_date":"2026-03-17T09:09:15.849793","created_date":"2025-10-10T00:00:00"}