{"id":"https://openalex.org/W4240706803","doi":"https://doi.org/10.1080/18756891.2011.9727772","title":"Some Indexes for Comparing and Selecting Partitions","display_name":"Some Indexes for Comparing and Selecting Partitions","publication_year":2011,"publication_date":"2011-04-01","ids":{"openalex":"https://openalex.org/W4240706803","doi":"https://doi.org/10.1080/18756891.2011.9727772"},"language":"en","primary_location":{"id":"doi:10.1080/18756891.2011.9727772","is_oa":true,"landing_page_url":"https://doi.org/10.1080/18756891.2011.9727772","pdf_url":null,"source":{"id":"https://openalex.org/S190680769","display_name":"International Journal of Computational Intelligence Systems","issn_l":"1875-6883","issn":["1875-6883","1875-6891"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310319965","host_organization_name":"Springer Nature","host_organization_lineage":["https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Nature"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"International Journal of Computational Intelligence Systems","raw_type":"journal-article"},"type":"article","indexed_in":["crossref","doaj"],"open_access":{"is_oa":true,"oa_status":"gold","oa_url":"https://doi.org/10.1080/18756891.2011.9727772","any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5020832510","display_name":"Xuezheng Zhang","orcid":"https://orcid.org/0000-0003-1959-9378"},"institutions":[{"id":"https://openalex.org/I102345215","display_name":"Xihua University","ror":"https://ror.org/04gwtvf26","country_code":"CN","type":"education","lineage":["https://openalex.org/I102345215"]}],"countries":["CN"],"is_corresponding":true,"raw_author_name":"Xuezheng Zhang","raw_affiliation_strings":["School of Mathematics & Computer Engineering , Xihua University , Chengdu , Sichuan , China E-mail: pei.zheng28@gmail.com, pqyz@263.net"],"affiliations":[{"raw_affiliation_string":"School of Mathematics & Computer Engineering , Xihua University , Chengdu , Sichuan , China E-mail: pei.zheng28@gmail.com, pqyz@263.net","institution_ids":["https://openalex.org/I102345215"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5046280013","display_name":"Zheng Pei","orcid":"https://orcid.org/0000-0001-5757-6607"},"institutions":[{"id":"https://openalex.org/I102345215","display_name":"Xihua University","ror":"https://ror.org/04gwtvf26","country_code":"CN","type":"education","lineage":["https://openalex.org/I102345215"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Zheng Pei","raw_affiliation_strings":["School of Mathematics & Computer Engineering , Xihua University , Chengdu , Sichuan , China E-mail: pei.zheng28@gmail.com, pqyz@263.net"],"affiliations":[{"raw_affiliation_string":"School of Mathematics & Computer Engineering , Xihua University , Chengdu , Sichuan , China E-mail: pei.zheng28@gmail.com, pqyz@263.net","institution_ids":["https://openalex.org/I102345215"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5072988055","display_name":"Yong Liu","orcid":"https://orcid.org/0000-0001-9031-9696"},"institutions":[{"id":"https://openalex.org/I102345215","display_name":"Xihua University","ror":"https://ror.org/04gwtvf26","country_code":"CN","type":"education","lineage":["https://openalex.org/I102345215"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Yong Liu","raw_affiliation_strings":["School of Mathematics & Computer Engineering , Xihua University , Chengdu , Sichuan , China E-mail: pei.zheng28@gmail.com, pqyz@263.net"],"affiliations":[{"raw_affiliation_string":"School of Mathematics & Computer Engineering , Xihua University , Chengdu , Sichuan , China E-mail: pei.zheng28@gmail.com, pqyz@263.net","institution_ids":["https://openalex.org/I102345215"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5020832510"],"corresponding_institution_ids":["https://openalex.org/I102345215"],"apc_list":{"value":1390,"currency":"GBP","value_usd":1704},"apc_paid":{"value":1390,"currency":"GBP","value_usd":1704},"fwci":0.0,"has_fulltext":false,"cited_by_count":0,"citation_normalized_percentile":{"value":0.3990729,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":"4","issue":"2","first_page":"153","last_page":"163"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11063","display_name":"Rough Sets and Fuzzy Logic","score":0.9997000098228455,"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"}},"topics":[{"id":"https://openalex.org/T11063","display_name":"Rough Sets and Fuzzy Logic","score":0.9997000098228455,"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/T10824","display_name":"Image Retrieval and Classification Techniques","score":0.9868000149726868,"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":0.9736999869346619,"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/partition","display_name":"Partition (number theory)","score":0.7138607501983643},{"id":"https://openalex.org/keywords/equivalence-relation","display_name":"Equivalence relation","score":0.7086620926856995},{"id":"https://openalex.org/keywords/equivalence","display_name":"Equivalence (formal languages)","score":0.6438072919845581},{"id":"https://openalex.org/keywords/feature-selection","display_name":"Feature selection","score":0.5683119297027588},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.5587798953056335},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.4507371187210083},{"id":"https://openalex.org/keywords/relation","display_name":"Relation (database)","score":0.43998631834983826},{"id":"https://openalex.org/keywords/set","display_name":"Set (abstract data type)","score":0.4375571012496948},{"id":"https://openalex.org/keywords/rough-set","display_name":"Rough set","score":0.43270143866539},{"id":"https://openalex.org/keywords/computational-intelligence","display_name":"Computational intelligence","score":0.431611567735672},{"id":"https://openalex.org/keywords/measure","display_name":"Measure (data warehouse)","score":0.4294644296169281},{"id":"https://openalex.org/keywords/data-mining","display_name":"Data mining","score":0.4038471579551697},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.33864015340805054},{"id":"https://openalex.org/keywords/theoretical-computer-science","display_name":"Theoretical computer science","score":0.3203688859939575},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.2215275764465332},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.18504849076271057}],"concepts":[{"id":"https://openalex.org/C42812","wikidata":"https://www.wikidata.org/wiki/Q1082910","display_name":"Partition (number theory)","level":2,"score":0.7138607501983643},{"id":"https://openalex.org/C156103551","wikidata":"https://www.wikidata.org/wiki/Q130998","display_name":"Equivalence relation","level":2,"score":0.7086620926856995},{"id":"https://openalex.org/C2780069185","wikidata":"https://www.wikidata.org/wiki/Q7977945","display_name":"Equivalence (formal languages)","level":2,"score":0.6438072919845581},{"id":"https://openalex.org/C148483581","wikidata":"https://www.wikidata.org/wiki/Q446488","display_name":"Feature selection","level":2,"score":0.5683119297027588},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.5587798953056335},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.4507371187210083},{"id":"https://openalex.org/C25343380","wikidata":"https://www.wikidata.org/wiki/Q277521","display_name":"Relation (database)","level":2,"score":0.43998631834983826},{"id":"https://openalex.org/C177264268","wikidata":"https://www.wikidata.org/wiki/Q1514741","display_name":"Set (abstract data type)","level":2,"score":0.4375571012496948},{"id":"https://openalex.org/C111012933","wikidata":"https://www.wikidata.org/wiki/Q3137210","display_name":"Rough set","level":2,"score":0.43270143866539},{"id":"https://openalex.org/C139502532","wikidata":"https://www.wikidata.org/wiki/Q1122090","display_name":"Computational intelligence","level":2,"score":0.431611567735672},{"id":"https://openalex.org/C2780009758","wikidata":"https://www.wikidata.org/wiki/Q6804172","display_name":"Measure (data warehouse)","level":2,"score":0.4294644296169281},{"id":"https://openalex.org/C124101348","wikidata":"https://www.wikidata.org/wiki/Q172491","display_name":"Data mining","level":1,"score":0.4038471579551697},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.33864015340805054},{"id":"https://openalex.org/C80444323","wikidata":"https://www.wikidata.org/wiki/Q2878974","display_name":"Theoretical computer science","level":1,"score":0.3203688859939575},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.2215275764465332},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.18504849076271057},{"id":"https://openalex.org/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1080/18756891.2011.9727772","is_oa":true,"landing_page_url":"https://doi.org/10.1080/18756891.2011.9727772","pdf_url":null,"source":{"id":"https://openalex.org/S190680769","display_name":"International Journal of Computational Intelligence Systems","issn_l":"1875-6883","issn":["1875-6883","1875-6891"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310319965","host_organization_name":"Springer Nature","host_organization_lineage":["https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Nature"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"International Journal of Computational Intelligence Systems","raw_type":"journal-article"}],"best_oa_location":{"id":"doi:10.1080/18756891.2011.9727772","is_oa":true,"landing_page_url":"https://doi.org/10.1080/18756891.2011.9727772","pdf_url":null,"source":{"id":"https://openalex.org/S190680769","display_name":"International Journal of Computational Intelligence Systems","issn_l":"1875-6883","issn":["1875-6883","1875-6891"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310319965","host_organization_name":"Springer Nature","host_organization_lineage":["https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Nature"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"International Journal of Computational Intelligence Systems","raw_type":"journal-article"},"sustainable_development_goals":[{"score":0.7900000214576721,"display_name":"Peace, Justice and strong institutions","id":"https://metadata.un.org/sdg/16"}],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":23,"referenced_works":["https://openalex.org/W403287242","https://openalex.org/W598492415","https://openalex.org/W1845345803","https://openalex.org/W1989306867","https://openalex.org/W1994997349","https://openalex.org/W1997593724","https://openalex.org/W1997708946","https://openalex.org/W2012367070","https://openalex.org/W2022973409","https://openalex.org/W2026054924","https://openalex.org/W2049292677","https://openalex.org/W2073730329","https://openalex.org/W2082476107","https://openalex.org/W2090865800","https://openalex.org/W2109662872","https://openalex.org/W2112992691","https://openalex.org/W2120282961","https://openalex.org/W2153676086","https://openalex.org/W2163982943","https://openalex.org/W2487887313","https://openalex.org/W2997615476","https://openalex.org/W4246088115","https://openalex.org/W4249753096"],"related_works":["https://openalex.org/W4389318318","https://openalex.org/W4247436880","https://openalex.org/W2064989302","https://openalex.org/W2600379663","https://openalex.org/W2220343220","https://openalex.org/W1899771913","https://openalex.org/W3150096374","https://openalex.org/W2305735113","https://openalex.org/W2000289627","https://openalex.org/W2385807600"],"abstract_inverted_index":{"Based":[0],"on":[1,25],"the":[2,50],"equivalence":[3,13],"relation,":[4],"we":[5,45,54,70],"can":[6,76],"partition":[7,62],"a":[8,60],"set":[9],"U,":[10],"formally,":[11],"different":[12,17,51],"relations":[14],"correspond":[15],"to":[16,48,58,87,91],"partitions":[18],"of":[19,38],"U.":[20],"In":[21],"this":[22],"paper,":[23],"based":[24],"Yager's":[26],"works":[27],"(Some":[28],"Measure":[29],"Relating":[30],"Partitions":[31],"Useful":[32],"For":[33],"Computational":[34,39],"Intelligence,":[35],"International":[36],"Journal":[37],"Intelligence":[40],"Systems.":[41],"1,":[42],"1-18":[43],"(2008)),":[44],"discuss":[46],"how":[47],"compare":[49],"partitions,":[52,81],"moreover,":[53],"obtain":[55],"some":[56],"indexes":[57,75],"select":[59],"better":[61],"from":[63],"given":[64],"partitions.":[65],"By":[66],"an":[67],"illustrative":[68],"example,":[69],"show":[71],"that":[72],"our":[73],"proposed":[74],"be":[77],"used":[78],"for":[79],"selecting":[80],"feature":[82],"selection,":[83],"and":[84],"help":[85],"us":[86],"gather":[88],"more":[89],"information":[90],"decision":[92],"making.":[93]},"counts_by_year":[],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}