{"id":"https://openalex.org/W1540619592","doi":"https://doi.org/10.1007/978-3-540-73729-2_19","title":"Formulation of Fuzzy c-Means Clustering Using Calculus of Variations","display_name":"Formulation of Fuzzy c-Means Clustering Using Calculus of Variations","publication_year":2007,"publication_date":"2007-08-20","ids":{"openalex":"https://openalex.org/W1540619592","doi":"https://doi.org/10.1007/978-3-540-73729-2_19","mag":"1540619592"},"language":"en","primary_location":{"id":"doi:10.1007/978-3-540-73729-2_19","is_oa":false,"landing_page_url":"https://doi.org/10.1007/978-3-540-73729-2_19","pdf_url":null,"source":{"id":"https://openalex.org/S106296714","display_name":"Lecture notes in computer science","issn_l":"0302-9743","issn":["0302-9743","1611-3349"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319900","host_organization_name":"Springer Science+Business Media","host_organization_lineage":["https://openalex.org/P4310319900","https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Science+Business Media","Springer Nature"],"type":"book series"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Lecture Notes in Computer Science","raw_type":"book-chapter"},"type":"book-chapter","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/A5102283856","display_name":"Sadaaki Miyamoto","orcid":null},"institutions":[{"id":"https://openalex.org/I146399215","display_name":"University of Tsukuba","ror":"https://ror.org/02956yf07","country_code":"JP","type":"education","lineage":["https://openalex.org/I146399215"]}],"countries":["JP"],"is_corresponding":true,"raw_author_name":"Sadaaki Miyamoto","raw_affiliation_strings":["Department of Risk Engineering, Faculty of Systems and Information Engineering, University of Tsukuba, Ibaraki 305-8573, Japan","Department of Risk Engineering, Faculty of Systems and Information Engineering, University of Tsukuba, Ibaraki 305-8573, Japan#TAB#"],"affiliations":[{"raw_affiliation_string":"Department of Risk Engineering, Faculty of Systems and Information Engineering, University of Tsukuba, Ibaraki 305-8573, Japan","institution_ids":["https://openalex.org/I146399215"]},{"raw_affiliation_string":"Department of Risk Engineering, Faculty of Systems and Information Engineering, University of Tsukuba, Ibaraki 305-8573, Japan#TAB#","institution_ids":["https://openalex.org/I146399215"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5102283856"],"corresponding_institution_ids":["https://openalex.org/I146399215"],"apc_list":{"value":5000,"currency":"EUR","value_usd":5392},"apc_paid":null,"fwci":0.229,"has_fulltext":false,"cited_by_count":3,"citation_normalized_percentile":{"value":0.52533544,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":null,"issue":null,"first_page":"193","last_page":"203"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"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"}},"topics":[{"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/T10057","display_name":"Face and Expression Recognition","score":0.9828000068664551,"subfield":{"id":"https://openalex.org/subfields/1707","display_name":"Computer Vision and Pattern Recognition"},"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":0.9819999933242798,"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/cluster-analysis","display_name":"Cluster analysis","score":0.6488898992538452},{"id":"https://openalex.org/keywords/fuzzy-logic","display_name":"Fuzzy logic","score":0.6280690431594849},{"id":"https://openalex.org/keywords/fuzzy-clustering","display_name":"Fuzzy clustering","score":0.5674114227294922},{"id":"https://openalex.org/keywords/fuzzy-classification","display_name":"Fuzzy classification","score":0.5419309139251709},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.5328925848007202},{"id":"https://openalex.org/keywords/defuzzification","display_name":"Defuzzification","score":0.5151568651199341},{"id":"https://openalex.org/keywords/fuzzy-set-operations","display_name":"Fuzzy set operations","score":0.515023946762085},{"id":"https://openalex.org/keywords/membership-function","display_name":"Membership function","score":0.46584829688072205},{"id":"https://openalex.org/keywords/fuzzy-number","display_name":"Fuzzy number","score":0.45035985112190247},{"id":"https://openalex.org/keywords/fuzzy-set","display_name":"Fuzzy set","score":0.4145393669605255},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.40986859798431396},{"id":"https://openalex.org/keywords/calculus","display_name":"Calculus (dental)","score":0.40137040615081787},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.40003663301467896},{"id":"https://openalex.org/keywords/data-mining","display_name":"Data mining","score":0.39568090438842773},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.3941868543624878},{"id":"https://openalex.org/keywords/algebra-over-a-field","display_name":"Algebra over a field","score":0.32425105571746826},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.10790190100669861}],"concepts":[{"id":"https://openalex.org/C73555534","wikidata":"https://www.wikidata.org/wiki/Q622825","display_name":"Cluster analysis","level":2,"score":0.6488898992538452},{"id":"https://openalex.org/C58166","wikidata":"https://www.wikidata.org/wiki/Q224821","display_name":"Fuzzy logic","level":2,"score":0.6280690431594849},{"id":"https://openalex.org/C17212007","wikidata":"https://www.wikidata.org/wiki/Q5511111","display_name":"Fuzzy clustering","level":3,"score":0.5674114227294922},{"id":"https://openalex.org/C127385683","wikidata":"https://www.wikidata.org/wiki/Q1475696","display_name":"Fuzzy classification","level":4,"score":0.5419309139251709},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.5328925848007202},{"id":"https://openalex.org/C170260401","wikidata":"https://www.wikidata.org/wiki/Q5251735","display_name":"Defuzzification","level":5,"score":0.5151568651199341},{"id":"https://openalex.org/C148671577","wikidata":"https://www.wikidata.org/wiki/Q5511133","display_name":"Fuzzy set operations","level":4,"score":0.515023946762085},{"id":"https://openalex.org/C5263885","wikidata":"https://www.wikidata.org/wiki/Q1967302","display_name":"Membership function","level":4,"score":0.46584829688072205},{"id":"https://openalex.org/C1883856","wikidata":"https://www.wikidata.org/wiki/Q3407463","display_name":"Fuzzy number","level":4,"score":0.45035985112190247},{"id":"https://openalex.org/C42011625","wikidata":"https://www.wikidata.org/wiki/Q1055058","display_name":"Fuzzy set","level":3,"score":0.4145393669605255},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.40986859798431396},{"id":"https://openalex.org/C2777686260","wikidata":"https://www.wikidata.org/wiki/Q144037","display_name":"Calculus (dental)","level":2,"score":0.40137040615081787},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.40003663301467896},{"id":"https://openalex.org/C124101348","wikidata":"https://www.wikidata.org/wiki/Q172491","display_name":"Data mining","level":1,"score":0.39568090438842773},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.3941868543624878},{"id":"https://openalex.org/C136119220","wikidata":"https://www.wikidata.org/wiki/Q1000660","display_name":"Algebra over a field","level":2,"score":0.32425105571746826},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.10790190100669861},{"id":"https://openalex.org/C71924100","wikidata":"https://www.wikidata.org/wiki/Q11190","display_name":"Medicine","level":0,"score":0.0},{"id":"https://openalex.org/C199343813","wikidata":"https://www.wikidata.org/wiki/Q12128","display_name":"Dentistry","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1007/978-3-540-73729-2_19","is_oa":false,"landing_page_url":"https://doi.org/10.1007/978-3-540-73729-2_19","pdf_url":null,"source":{"id":"https://openalex.org/S106296714","display_name":"Lecture notes in computer science","issn_l":"0302-9743","issn":["0302-9743","1611-3349"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319900","host_organization_name":"Springer Science+Business Media","host_organization_lineage":["https://openalex.org/P4310319900","https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Science+Business Media","Springer Nature"],"type":"book series"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Lecture Notes in Computer Science","raw_type":"book-chapter"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":13,"referenced_works":["https://openalex.org/W1508853606","https://openalex.org/W1679913846","https://openalex.org/W1941358455","https://openalex.org/W1990368529","https://openalex.org/W2040895929","https://openalex.org/W2108457651","https://openalex.org/W2113076747","https://openalex.org/W2115077250","https://openalex.org/W2116442055","https://openalex.org/W2120688485","https://openalex.org/W2157709461","https://openalex.org/W2278532921","https://openalex.org/W4237222446"],"related_works":["https://openalex.org/W2674573885","https://openalex.org/W1487720066","https://openalex.org/W1975005191","https://openalex.org/W2781808531","https://openalex.org/W3107001035","https://openalex.org/W4361984403","https://openalex.org/W3207735076","https://openalex.org/W1501518539","https://openalex.org/W2791187250","https://openalex.org/W2066929655"],"abstract_inverted_index":null,"counts_by_year":[],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}
