{"id":"https://openalex.org/W3150320084","doi":"https://doi.org/10.1109/fskd.2012.6234184","title":"Entropy based annealing approach to fuzzy c-means clustering and its fractal interpolation","display_name":"Entropy based annealing approach to fuzzy c-means clustering and its fractal interpolation","publication_year":2012,"publication_date":"2012-05-01","ids":{"openalex":"https://openalex.org/W3150320084","doi":"https://doi.org/10.1109/fskd.2012.6234184","mag":"3150320084"},"language":"en","primary_location":{"id":"doi:10.1109/fskd.2012.6234184","is_oa":false,"landing_page_url":"https://doi.org/10.1109/fskd.2012.6234184","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2012 9th International Conference on Fuzzy Systems and Knowledge Discovery","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/A5101826039","display_name":"Makoto Yasuda","orcid":"https://orcid.org/0000-0001-9619-5073"},"institutions":[{"id":"https://openalex.org/I4210113483","display_name":"National Institute of Technology, Gifu College","ror":"https://ror.org/025b2hx26","country_code":"JP","type":"education","lineage":["https://openalex.org/I4210113483","https://openalex.org/I4210120810"]}],"countries":["JP"],"is_corresponding":true,"raw_author_name":"Makoto Yasuda","raw_affiliation_strings":["Department of Electrical and Computer Engineering, Gifu National College of Technology, Motosu, Gifu, Japan"],"affiliations":[{"raw_affiliation_string":"Department of Electrical and Computer Engineering, Gifu National College of Technology, Motosu, Gifu, Japan","institution_ids":["https://openalex.org/I4210113483"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5101826039"],"corresponding_institution_ids":["https://openalex.org/I4210113483"],"apc_list":null,"apc_paid":null,"fwci":0.4281,"has_fulltext":false,"cited_by_count":1,"citation_normalized_percentile":{"value":0.76700523,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":94},"biblio":{"volume":"220","issue":null,"first_page":"560","last_page":"564"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10320","display_name":"Neural Networks and Applications","score":0.9954000115394592,"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/T10320","display_name":"Neural Networks and Applications","score":0.9954000115394592,"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/T10637","display_name":"Advanced Clustering Algorithms Research","score":0.995199978351593,"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/T11063","display_name":"Rough Sets and Fuzzy Logic","score":0.9894000291824341,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.5675663352012634},{"id":"https://openalex.org/keywords/entropy","display_name":"Entropy (arrow of time)","score":0.5206688642501831},{"id":"https://openalex.org/keywords/fuzzy-logic","display_name":"Fuzzy logic","score":0.48934072256088257},{"id":"https://openalex.org/keywords/cluster-analysis","display_name":"Cluster analysis","score":0.4799109399318695},{"id":"https://openalex.org/keywords/fractal","display_name":"Fractal","score":0.47602397203445435},{"id":"https://openalex.org/keywords/simulated-annealing","display_name":"Simulated annealing","score":0.45422863960266113},{"id":"https://openalex.org/keywords/membership-function","display_name":"Membership function","score":0.42255210876464844},{"id":"https://openalex.org/keywords/statistical-physics","display_name":"Statistical physics","score":0.41904258728027344},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.40649887919425964},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.39369913935661316},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.3696008026599884},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.3336760103702545},{"id":"https://openalex.org/keywords/fuzzy-set","display_name":"Fuzzy set","score":0.32960960268974304},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.3004997968673706},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.28313755989074707},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.20824119448661804},{"id":"https://openalex.org/keywords/statistics","display_name":"Statistics","score":0.13373342156410217},{"id":"https://openalex.org/keywords/thermodynamics","display_name":"Thermodynamics","score":0.10180637240409851}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5675663352012634},{"id":"https://openalex.org/C106301342","wikidata":"https://www.wikidata.org/wiki/Q4117933","display_name":"Entropy (arrow of time)","level":2,"score":0.5206688642501831},{"id":"https://openalex.org/C58166","wikidata":"https://www.wikidata.org/wiki/Q224821","display_name":"Fuzzy logic","level":2,"score":0.48934072256088257},{"id":"https://openalex.org/C73555534","wikidata":"https://www.wikidata.org/wiki/Q622825","display_name":"Cluster analysis","level":2,"score":0.4799109399318695},{"id":"https://openalex.org/C40636538","wikidata":"https://www.wikidata.org/wiki/Q81392","display_name":"Fractal","level":2,"score":0.47602397203445435},{"id":"https://openalex.org/C126980161","wikidata":"https://www.wikidata.org/wiki/Q863783","display_name":"Simulated annealing","level":2,"score":0.45422863960266113},{"id":"https://openalex.org/C5263885","wikidata":"https://www.wikidata.org/wiki/Q1967302","display_name":"Membership function","level":4,"score":0.42255210876464844},{"id":"https://openalex.org/C121864883","wikidata":"https://www.wikidata.org/wiki/Q677916","display_name":"Statistical physics","level":1,"score":0.41904258728027344},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.40649887919425964},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.39369913935661316},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.3696008026599884},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.3336760103702545},{"id":"https://openalex.org/C42011625","wikidata":"https://www.wikidata.org/wiki/Q1055058","display_name":"Fuzzy set","level":3,"score":0.32960960268974304},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.3004997968673706},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.28313755989074707},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.20824119448661804},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.13373342156410217},{"id":"https://openalex.org/C97355855","wikidata":"https://www.wikidata.org/wiki/Q11473","display_name":"Thermodynamics","level":1,"score":0.10180637240409851}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1109/fskd.2012.6234184","is_oa":false,"landing_page_url":"https://doi.org/10.1109/fskd.2012.6234184","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2012 9th International Conference on Fuzzy Systems and Knowledge Discovery","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":15,"referenced_works":["https://openalex.org/W1909799669","https://openalex.org/W1979700117","https://openalex.org/W2024060531","https://openalex.org/W2025887562","https://openalex.org/W2040121225","https://openalex.org/W2077096052","https://openalex.org/W2113076747","https://openalex.org/W2161877964","https://openalex.org/W2166968185","https://openalex.org/W2169832652","https://openalex.org/W2278532921","https://openalex.org/W4206059443","https://openalex.org/W4301421397","https://openalex.org/W6640137352","https://openalex.org/W6694777023"],"related_works":["https://openalex.org/W87675884","https://openalex.org/W154406135","https://openalex.org/W2132859092","https://openalex.org/W2166637398","https://openalex.org/W2384503959","https://openalex.org/W2181335288","https://openalex.org/W2012019755","https://openalex.org/W2374152511","https://openalex.org/W2013143463","https://openalex.org/W2320922716"],"abstract_inverted_index":{"The":[0],"deterministic":[1],"annealing":[2,6],"(DA)":[3],"and":[4,89],"simulated":[5],"(SA)":[7],"methods":[8],"are":[9,69],"well":[10,28],"combined":[11],"as":[12,35],"DASA.":[13],"By":[14],"regularizing":[15],"the":[16,21,24,46,49,79],"fuzzy":[17,22,54],"c-means":[18,55],"method":[19,82],"with":[20],"entropy,":[23],"Fermi-Dirac":[25],"distribution":[26],"function,":[27,38],"known":[29],"in":[30],"statistical":[31],"mechanics,":[32],"is":[33,57,73,83],"obtained":[34,66],"a":[36,86],"membership":[37,64],"and,":[39],"while":[40],"optimizing":[41],"its":[42,91],"parameters":[43],"by":[44,59,67],"SA,":[45],"minimal":[47],"of":[48,63],"Helmholtz":[50],"free":[51],"energy":[52],"for":[53],"clustering":[56],"searched":[58],"DA.":[60],"Since":[61],"shapes":[62],"functions":[65],"DASA":[68],"very":[70],"rough,":[71],"it":[72],"important":[74],"to":[75,85],"interpolate":[76],"them.":[77],"Thus,":[78],"fractal":[80],"interpolation":[81],"applied":[84],"DASA's":[87],"result":[88],"shows":[90],"effectiveness.":[92]},"counts_by_year":[{"year":2012,"cited_by_count":1}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}