{"id":"https://openalex.org/W1929496293","doi":"https://doi.org/10.1007/978-3-540-88190-2_7","title":"Density of Closed Balls in Real-Valued and Autometrized Boolean Spaces for Clustering Applications","display_name":"Density of Closed Balls in Real-Valued and Autometrized Boolean Spaces for Clustering Applications","publication_year":2008,"publication_date":"2008-01-01","ids":{"openalex":"https://openalex.org/W1929496293","doi":"https://doi.org/10.1007/978-3-540-88190-2_7","mag":"1929496293"},"language":"en","primary_location":{"id":"doi:10.1007/978-3-540-88190-2_7","is_oa":false,"landing_page_url":"https://doi.org/10.1007/978-3-540-88190-2_7","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/A5076876507","display_name":"Cleotilde Gonz\u00e1lez","orcid":"https://orcid.org/0000-0002-6244-2918"},"institutions":[{"id":"https://openalex.org/I4210119971","display_name":"Universidade de Sorocaba","ror":"https://ror.org/02hnvfm11","country_code":"BR","type":"education","lineage":["https://openalex.org/I4210119971"]}],"countries":["BR"],"is_corresponding":true,"raw_author_name":"C. G. Gonz\u00e1lez","raw_affiliation_strings":["Technology Center, University of Sorocaba, SP, Brazil"],"affiliations":[{"raw_affiliation_string":"Technology Center, University of Sorocaba, SP, Brazil","institution_ids":["https://openalex.org/I4210119971"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5052799657","display_name":"Waldemar Bonventi","orcid":"https://orcid.org/0000-0003-0720-499X"},"institutions":[{"id":"https://openalex.org/I4210119971","display_name":"Universidade de Sorocaba","ror":"https://ror.org/02hnvfm11","country_code":"BR","type":"education","lineage":["https://openalex.org/I4210119971"]}],"countries":["BR"],"is_corresponding":false,"raw_author_name":"W. Bonventi","raw_affiliation_strings":["Technology Center, University of Sorocaba, SP, Brazil"],"affiliations":[{"raw_affiliation_string":"Technology Center, University of Sorocaba, SP, Brazil","institution_ids":["https://openalex.org/I4210119971"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5111058973","display_name":"A. L. Vieira Rodrigues","orcid":null},"institutions":[{"id":"https://openalex.org/I4210119971","display_name":"Universidade de Sorocaba","ror":"https://ror.org/02hnvfm11","country_code":"BR","type":"education","lineage":["https://openalex.org/I4210119971"]}],"countries":["BR"],"is_corresponding":false,"raw_author_name":"A. L. Vieira Rodrigues","raw_affiliation_strings":["Technology Center, University of Sorocaba, SP, Brazil"],"affiliations":[{"raw_affiliation_string":"Technology Center, University of Sorocaba, SP, Brazil","institution_ids":["https://openalex.org/I4210119971"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5076876507"],"corresponding_institution_ids":["https://openalex.org/I4210119971"],"apc_list":{"value":5000,"currency":"EUR","value_usd":5392},"apc_paid":null,"fwci":0.461,"has_fulltext":false,"cited_by_count":23,"citation_normalized_percentile":{"value":0.62914769,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":99},"biblio":{"volume":null,"issue":null,"first_page":"8","last_page":"22"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11106","display_name":"Data Management and Algorithms","score":0.9936000108718872,"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/T11106","display_name":"Data Management and Algorithms","score":0.9936000108718872,"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/T11063","display_name":"Rough Sets and Fuzzy Logic","score":0.9926999807357788,"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/T12536","display_name":"Topological and Geometric Data Analysis","score":0.9900000095367432,"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/cluster-analysis","display_name":"Cluster analysis","score":0.6768779754638672},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.6322655081748962},{"id":"https://openalex.org/keywords/boolean-algebra","display_name":"Boolean algebra","score":0.5722354054450989},{"id":"https://openalex.org/keywords/vector-space","display_name":"Vector space","score":0.5677568912506104},{"id":"https://openalex.org/keywords/boolean-expression","display_name":"Boolean expression","score":0.489705353975296},{"id":"https://openalex.org/keywords/boolean-data-type","display_name":"Boolean data type","score":0.46314001083374023},{"id":"https://openalex.org/keywords/space","display_name":"Space (punctuation)","score":0.4414312541484833},{"id":"https://openalex.org/keywords/ball","display_name":"Ball (mathematics)","score":0.4405202865600586},{"id":"https://openalex.org/keywords/theoretical-computer-science","display_name":"Theoretical computer science","score":0.4247768521308899},{"id":"https://openalex.org/keywords/two-element-boolean-algebra","display_name":"Two-element Boolean algebra","score":0.4213227927684784},{"id":"https://openalex.org/keywords/boolean-function","display_name":"Boolean function","score":0.39089131355285645},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.3096579909324646},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.2879467010498047},{"id":"https://openalex.org/keywords/algebra-over-a-field","display_name":"Algebra over a field","score":0.2752980887889862},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.19716233015060425},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.11585527658462524}],"concepts":[{"id":"https://openalex.org/C73555534","wikidata":"https://www.wikidata.org/wiki/Q622825","display_name":"Cluster analysis","level":2,"score":0.6768779754638672},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.6322655081748962},{"id":"https://openalex.org/C39685927","wikidata":"https://www.wikidata.org/wiki/Q173183","display_name":"Boolean algebra","level":2,"score":0.5722354054450989},{"id":"https://openalex.org/C13336665","wikidata":"https://www.wikidata.org/wiki/Q125977","display_name":"Vector space","level":2,"score":0.5677568912506104},{"id":"https://openalex.org/C158465420","wikidata":"https://www.wikidata.org/wiki/Q1979515","display_name":"Boolean expression","level":3,"score":0.489705353975296},{"id":"https://openalex.org/C7342684","wikidata":"https://www.wikidata.org/wiki/Q520777","display_name":"Boolean data type","level":2,"score":0.46314001083374023},{"id":"https://openalex.org/C2778572836","wikidata":"https://www.wikidata.org/wiki/Q380933","display_name":"Space (punctuation)","level":2,"score":0.4414312541484833},{"id":"https://openalex.org/C122041747","wikidata":"https://www.wikidata.org/wiki/Q838611","display_name":"Ball (mathematics)","level":2,"score":0.4405202865600586},{"id":"https://openalex.org/C80444323","wikidata":"https://www.wikidata.org/wiki/Q2878974","display_name":"Theoretical computer science","level":1,"score":0.4247768521308899},{"id":"https://openalex.org/C207764348","wikidata":"https://www.wikidata.org/wiki/Q7858706","display_name":"Two-element Boolean algebra","level":4,"score":0.4213227927684784},{"id":"https://openalex.org/C187455244","wikidata":"https://www.wikidata.org/wiki/Q942353","display_name":"Boolean function","level":2,"score":0.39089131355285645},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.3096579909324646},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.2879467010498047},{"id":"https://openalex.org/C136119220","wikidata":"https://www.wikidata.org/wiki/Q1000660","display_name":"Algebra over a field","level":2,"score":0.2752980887889862},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.19716233015060425},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.11585527658462524},{"id":"https://openalex.org/C111919701","wikidata":"https://www.wikidata.org/wiki/Q9135","display_name":"Operating system","level":1,"score":0.0},{"id":"https://openalex.org/C169171071","wikidata":"https://www.wikidata.org/wiki/Q5449241","display_name":"Filtered algebra","level":3,"score":0.0},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1007/978-3-540-88190-2_7","is_oa":false,"landing_page_url":"https://doi.org/10.1007/978-3-540-88190-2_7","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":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":18,"referenced_works":["https://openalex.org/W198953946","https://openalex.org/W626407659","https://openalex.org/W654914693","https://openalex.org/W1523441917","https://openalex.org/W1779560570","https://openalex.org/W1836357517","https://openalex.org/W1886554846","https://openalex.org/W1891931698","https://openalex.org/W1979199694","https://openalex.org/W1992419399","https://openalex.org/W2032279931","https://openalex.org/W2049224033","https://openalex.org/W2057712948","https://openalex.org/W2077749453","https://openalex.org/W2084812512","https://openalex.org/W2095376107","https://openalex.org/W2138651832","https://openalex.org/W4247342663"],"related_works":["https://openalex.org/W2740171735","https://openalex.org/W3016842798","https://openalex.org/W2234833091","https://openalex.org/W1974935489","https://openalex.org/W2940617399","https://openalex.org/W4234182517","https://openalex.org/W1486224146","https://openalex.org/W4240511156","https://openalex.org/W2184501439","https://openalex.org/W2004987090"],"abstract_inverted_index":null,"counts_by_year":[{"year":2023,"cited_by_count":1},{"year":2022,"cited_by_count":6},{"year":2018,"cited_by_count":2},{"year":2017,"cited_by_count":4},{"year":2016,"cited_by_count":2},{"year":2015,"cited_by_count":6},{"year":2013,"cited_by_count":1}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}
