{"id":"https://openalex.org/W2897878557","doi":"https://doi.org/10.1109/fuzz-ieee.2018.8491581","title":"A Soft Davies-Bouldin Separation Measure","display_name":"A Soft Davies-Bouldin Separation Measure","publication_year":2018,"publication_date":"2018-07-01","ids":{"openalex":"https://openalex.org/W2897878557","doi":"https://doi.org/10.1109/fuzz-ieee.2018.8491581","mag":"2897878557"},"language":"en","primary_location":{"id":"doi:10.1109/fuzz-ieee.2018.8491581","is_oa":false,"landing_page_url":"https://doi.org/10.1109/fuzz-ieee.2018.8491581","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2018 IEEE International Conference on Fuzzy Systems (FUZZ-IEEE)","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/A5003942312","display_name":"Alberto Arturo Vergani","orcid":"https://orcid.org/0000-0002-6572-0434"},"institutions":[{"id":"https://openalex.org/I115752224","display_name":"University of Insubria","ror":"https://ror.org/00s409261","country_code":"IT","type":"education","lineage":["https://openalex.org/I115752224"]}],"countries":["IT"],"is_corresponding":true,"raw_author_name":"Alberto A. Vergani","raw_affiliation_strings":["Dept. of Theoretical and Applied Sciences, University of Insubria, Varese, Italy"],"affiliations":[{"raw_affiliation_string":"Dept. of Theoretical and Applied Sciences, University of Insubria, Varese, Italy","institution_ids":["https://openalex.org/I115752224"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5106083233","display_name":"Elisabetta Binaghi","orcid":null},"institutions":[{"id":"https://openalex.org/I115752224","display_name":"University of Insubria","ror":"https://ror.org/00s409261","country_code":"IT","type":"education","lineage":["https://openalex.org/I115752224"]}],"countries":["IT"],"is_corresponding":false,"raw_author_name":"Elisabetta Binaghi","raw_affiliation_strings":["Dept. of Theoretical and Applied Sciences, University of Insubria, Varese, Italy"],"affiliations":[{"raw_affiliation_string":"Dept. of Theoretical and Applied Sciences, University of Insubria, Varese, Italy","institution_ids":["https://openalex.org/I115752224"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5003942312"],"corresponding_institution_ids":["https://openalex.org/I115752224"],"apc_list":null,"apc_paid":null,"fwci":1.466,"has_fulltext":false,"cited_by_count":39,"citation_normalized_percentile":{"value":0.86791583,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":99},"biblio":{"volume":null,"issue":null,"first_page":"1","last_page":"8"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10637","display_name":"Advanced Clustering Algorithms Research","score":0.9975000023841858,"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":0.9975000023841858,"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/T10064","display_name":"Complex Network Analysis Techniques","score":0.9927999973297119,"subfield":{"id":"https://openalex.org/subfields/3109","display_name":"Statistical and Nonlinear Physics"},"field":{"id":"https://openalex.org/fields/31","display_name":"Physics and Astronomy"},"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":0.9872999787330627,"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":0.6962193846702576},{"id":"https://openalex.org/keywords/measure","display_name":"Measure (data warehouse)","score":0.6453172564506531},{"id":"https://openalex.org/keywords/ground-truth","display_name":"Ground truth","score":0.6389050483703613},{"id":"https://openalex.org/keywords/index","display_name":"Index (typography)","score":0.5740025639533997},{"id":"https://openalex.org/keywords/generalization","display_name":"Generalization","score":0.5642161965370178},{"id":"https://openalex.org/keywords/fuzzy-clustering","display_name":"Fuzzy clustering","score":0.5505936741828918},{"id":"https://openalex.org/keywords/fuzzy-logic","display_name":"Fuzzy logic","score":0.533303439617157},{"id":"https://openalex.org/keywords/fuzzy-set","display_name":"Fuzzy set","score":0.4718969762325287},{"id":"https://openalex.org/keywords/range","display_name":"Range (aeronautics)","score":0.4664698541164398},{"id":"https://openalex.org/keywords/data-mining","display_name":"Data mining","score":0.4613924026489258},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.45373833179473877},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.4523525834083557},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.4109949767589569},{"id":"https://openalex.org/keywords/pattern-recognition","display_name":"Pattern recognition (psychology)","score":0.36033427715301514}],"concepts":[{"id":"https://openalex.org/C73555534","wikidata":"https://www.wikidata.org/wiki/Q622825","display_name":"Cluster analysis","level":2,"score":0.6962193846702576},{"id":"https://openalex.org/C2780009758","wikidata":"https://www.wikidata.org/wiki/Q6804172","display_name":"Measure (data warehouse)","level":2,"score":0.6453172564506531},{"id":"https://openalex.org/C146849305","wikidata":"https://www.wikidata.org/wiki/Q370766","display_name":"Ground truth","level":2,"score":0.6389050483703613},{"id":"https://openalex.org/C2777382242","wikidata":"https://www.wikidata.org/wiki/Q6017816","display_name":"Index (typography)","level":2,"score":0.5740025639533997},{"id":"https://openalex.org/C177148314","wikidata":"https://www.wikidata.org/wiki/Q170084","display_name":"Generalization","level":2,"score":0.5642161965370178},{"id":"https://openalex.org/C17212007","wikidata":"https://www.wikidata.org/wiki/Q5511111","display_name":"Fuzzy clustering","level":3,"score":0.5505936741828918},{"id":"https://openalex.org/C58166","wikidata":"https://www.wikidata.org/wiki/Q224821","display_name":"Fuzzy logic","level":2,"score":0.533303439617157},{"id":"https://openalex.org/C42011625","wikidata":"https://www.wikidata.org/wiki/Q1055058","display_name":"Fuzzy set","level":3,"score":0.4718969762325287},{"id":"https://openalex.org/C204323151","wikidata":"https://www.wikidata.org/wiki/Q905424","display_name":"Range (aeronautics)","level":2,"score":0.4664698541164398},{"id":"https://openalex.org/C124101348","wikidata":"https://www.wikidata.org/wiki/Q172491","display_name":"Data mining","level":1,"score":0.4613924026489258},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.45373833179473877},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.4523525834083557},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.4109949767589569},{"id":"https://openalex.org/C153180895","wikidata":"https://www.wikidata.org/wiki/Q7148389","display_name":"Pattern recognition (psychology)","level":2,"score":0.36033427715301514},{"id":"https://openalex.org/C136764020","wikidata":"https://www.wikidata.org/wiki/Q466","display_name":"World Wide Web","level":1,"score":0.0},{"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/C159985019","wikidata":"https://www.wikidata.org/wiki/Q181790","display_name":"Composite material","level":1,"score":0.0},{"id":"https://openalex.org/C192562407","wikidata":"https://www.wikidata.org/wiki/Q228736","display_name":"Materials science","level":0,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1109/fuzz-ieee.2018.8491581","is_oa":false,"landing_page_url":"https://doi.org/10.1109/fuzz-ieee.2018.8491581","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2018 IEEE International Conference on Fuzzy Systems (FUZZ-IEEE)","raw_type":"proceedings-article"},{"id":"pmh:oai:irinsubria.uninsubria.it:11383/2076919","is_oa":false,"landing_page_url":"http://hdl.handle.net/11383/2076919","pdf_url":null,"source":{"id":"https://openalex.org/S4377196351","display_name":"IrInSubria (University of Insubria)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I115752224","host_organization_name":"University of Insubria","host_organization_lineage":["https://openalex.org/I115752224"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"info:eu-repo/semantics/conferenceObject"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[{"id":"https://openalex.org/F4320323281","display_name":"Universit\u00e0 degli Studi dell'Insubria","ror":"https://ror.org/00s409261"}],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":36,"referenced_works":["https://openalex.org/W652438635","https://openalex.org/W1623080549","https://openalex.org/W1736726159","https://openalex.org/W1971784203","https://openalex.org/W1978176329","https://openalex.org/W1978527081","https://openalex.org/W1979993842","https://openalex.org/W1983753875","https://openalex.org/W1985059878","https://openalex.org/W1990368529","https://openalex.org/W1995450389","https://openalex.org/W1996881001","https://openalex.org/W2011005393","https://openalex.org/W2011430131","https://openalex.org/W2024284069","https://openalex.org/W2036590551","https://openalex.org/W2051224630","https://openalex.org/W2053477750","https://openalex.org/W2053677366","https://openalex.org/W2077748623","https://openalex.org/W2087115982","https://openalex.org/W2113076747","https://openalex.org/W2127218421","https://openalex.org/W2137686028","https://openalex.org/W2150593711","https://openalex.org/W2153667747","https://openalex.org/W2155074104","https://openalex.org/W2319660501","https://openalex.org/W2334951050","https://openalex.org/W2344427668","https://openalex.org/W2977883299","https://openalex.org/W3014919463","https://openalex.org/W3120740533","https://openalex.org/W4232179695","https://openalex.org/W4244494905","https://openalex.org/W6678914141"],"related_works":["https://openalex.org/W2945382830","https://openalex.org/W4224807364","https://openalex.org/W2596632494","https://openalex.org/W2535986621","https://openalex.org/W1980197432","https://openalex.org/W2382432689","https://openalex.org/W2000612978","https://openalex.org/W4388110928","https://openalex.org/W1483228865","https://openalex.org/W4292434959"],"abstract_inverted_index":{"We":[0,38,63],"present":[1],"a":[2],"soft":[3,27],"separation":[4],"measure":[5,33],"to":[6,45],"validate":[7],"fuzzy":[8,48],"clustering":[9,24,28],"results":[10],"without":[11,61],"defuzzyficaton.":[12],"It":[13],"is":[14],"the":[15,26,32,72,91,106,112,117,127],"generalization":[16],"of":[17,75,94,105,109,123,130],"Davies-Bouldin":[18,35,77,82,96,101,114,118],"validation":[19],"index":[20,36,78,97,102,115,119],"(DB)":[21],"for":[22],"crisp":[23],"in":[25,67,85,103],"domain;":[29],"we":[30],"named":[31],"Soft":[34,76,95,113],"(SDB).":[37],"compared":[39],"DB":[40],"and":[41,47,56],"SDB":[42],"when":[43],"applied":[44],"k-means":[46],"c-means":[49],"algorithms":[50],"using":[51],"eight":[52],"datasets":[53,60,87,125],"with":[54],"ground-truth":[55],"two":[57],"experimental":[58],"fMRI":[59],"ground-truth.":[62],"found":[64],"that":[65,88],"i)":[66],"more":[68],"than":[69,81,100],"half":[70,86],"datasets,":[71],"optimal":[73,92],"score":[74,93],"was":[79,98],"less":[80,99],"index,":[83],"ii)":[84],"have":[89],"ground-truth,":[90],"correspondence":[104],"truth":[107],"number":[108],"patterns,":[110],"iii)":[111],"outperformed":[116],"as":[120],"central":[121],"tendency":[122],"all":[124],"along":[126],"complete":[128],"range":[129],"clusters":[131],"considered.":[132]},"counts_by_year":[{"year":2026,"cited_by_count":1},{"year":2025,"cited_by_count":12},{"year":2024,"cited_by_count":9},{"year":2023,"cited_by_count":4},{"year":2022,"cited_by_count":4},{"year":2021,"cited_by_count":3},{"year":2020,"cited_by_count":3},{"year":2019,"cited_by_count":2},{"year":2018,"cited_by_count":1}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}
