{"id":"https://openalex.org/W1993364847","doi":"https://doi.org/10.1109/grc.2009.5255167","title":"Representation of second-order Dominance-based approximation space by neighborhood systems","display_name":"Representation of second-order Dominance-based approximation space by neighborhood systems","publication_year":2009,"publication_date":"2009-08-01","ids":{"openalex":"https://openalex.org/W1993364847","doi":"https://doi.org/10.1109/grc.2009.5255167","mag":"1993364847"},"language":"en","primary_location":{"id":"doi:10.1109/grc.2009.5255167","is_oa":false,"landing_page_url":"https://doi.org/10.1109/grc.2009.5255167","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2009 IEEE International Conference on Granular Computing","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/A5006984328","display_name":"Chien-Chung Chan","orcid":null},"institutions":[{"id":"https://openalex.org/I110152177","display_name":"University of Akron","ror":"https://ror.org/02kyckx55","country_code":"US","type":"education","lineage":["https://openalex.org/I110152177"]}],"countries":["US"],"is_corresponding":true,"raw_author_name":"Chien-Chung Chan","raw_affiliation_strings":["Department of Computer Science, University of Akron, Akron, OH, USA","Department of Computer Science, University of Akron, OH 44325-4003, USA"],"affiliations":[{"raw_affiliation_string":"Department of Computer Science, University of Akron, Akron, OH, USA","institution_ids":["https://openalex.org/I110152177"]},{"raw_affiliation_string":"Department of Computer Science, University of Akron, OH 44325-4003, USA","institution_ids":["https://openalex.org/I110152177"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5046523549","display_name":"Gwo\u2010Hshiung Tzeng","orcid":"https://orcid.org/0000-0003-1856-7497"},"institutions":[{"id":"https://openalex.org/I174748290","display_name":"Kainan University","ror":"https://ror.org/018p1hd91","country_code":"TW","type":"education","lineage":["https://openalex.org/I174748290"]}],"countries":["TW"],"is_corresponding":false,"raw_author_name":"Gwo-Hshiung Tzeng","raw_affiliation_strings":["Department of Business Administration, Kainan University, Taoyuan, Taiwan","Department of Business Administration, Kainan University, No. 1, Kainan Road, Luchu, Taoyuan County 338, Taiwan"],"affiliations":[{"raw_affiliation_string":"Department of Business Administration, Kainan University, Taoyuan, Taiwan","institution_ids":["https://openalex.org/I174748290"]},{"raw_affiliation_string":"Department of Business Administration, Kainan University, No. 1, Kainan Road, Luchu, Taoyuan County 338, Taiwan","institution_ids":["https://openalex.org/I174748290"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5006984328"],"corresponding_institution_ids":["https://openalex.org/I110152177"],"apc_list":null,"apc_paid":null,"fwci":0.3428,"has_fulltext":false,"cited_by_count":1,"citation_normalized_percentile":{"value":0.58578786,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":"4062","issue":null,"first_page":"33","last_page":"38"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11063","display_name":"Rough Sets and Fuzzy Logic","score":1.0,"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":1.0,"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/T10538","display_name":"Data Mining Algorithms and Applications","score":0.9796000123023987,"subfield":{"id":"https://openalex.org/subfields/1710","display_name":"Information Systems"},"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/T11727","display_name":"Advanced Algebra and Logic","score":0.9215999841690063,"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/decision-table","display_name":"Decision table","score":0.7432999610900879},{"id":"https://openalex.org/keywords/singleton","display_name":"Singleton","score":0.6419942378997803},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.5894551277160645},{"id":"https://openalex.org/keywords/dominance-based-rough-set-approach","display_name":"Dominance-based rough set approach","score":0.5641120672225952},{"id":"https://openalex.org/keywords/generalization","display_name":"Generalization","score":0.5208643078804016},{"id":"https://openalex.org/keywords/rough-set","display_name":"Rough set","score":0.4807286262512207},{"id":"https://openalex.org/keywords/decision-rule","display_name":"Decision rule","score":0.4665049910545349},{"id":"https://openalex.org/keywords/representation","display_name":"Representation (politics)","score":0.463636577129364},{"id":"https://openalex.org/keywords/table","display_name":"Table (database)","score":0.44571778178215027},{"id":"https://openalex.org/keywords/decision-problem","display_name":"Decision problem","score":0.4210898280143738},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.4000418782234192},{"id":"https://openalex.org/keywords/theoretical-computer-science","display_name":"Theoretical computer science","score":0.3909907639026642},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.3766007423400879},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.3674704134464264},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.32510215044021606},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.25054192543029785},{"id":"https://openalex.org/keywords/data-mining","display_name":"Data mining","score":0.20587903261184692},{"id":"https://openalex.org/keywords/statistics","display_name":"Statistics","score":0.15138834714889526}],"concepts":[{"id":"https://openalex.org/C172967692","wikidata":"https://www.wikidata.org/wiki/Q747762","display_name":"Decision table","level":3,"score":0.7432999610900879},{"id":"https://openalex.org/C117354338","wikidata":"https://www.wikidata.org/wiki/Q1165112","display_name":"Singleton","level":3,"score":0.6419942378997803},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5894551277160645},{"id":"https://openalex.org/C39105242","wikidata":"https://www.wikidata.org/wiki/Q5290286","display_name":"Dominance-based rough set approach","level":3,"score":0.5641120672225952},{"id":"https://openalex.org/C177148314","wikidata":"https://www.wikidata.org/wiki/Q170084","display_name":"Generalization","level":2,"score":0.5208643078804016},{"id":"https://openalex.org/C111012933","wikidata":"https://www.wikidata.org/wiki/Q3137210","display_name":"Rough set","level":2,"score":0.4807286262512207},{"id":"https://openalex.org/C84839998","wikidata":"https://www.wikidata.org/wiki/Q5249245","display_name":"Decision rule","level":2,"score":0.4665049910545349},{"id":"https://openalex.org/C2776359362","wikidata":"https://www.wikidata.org/wiki/Q2145286","display_name":"Representation (politics)","level":3,"score":0.463636577129364},{"id":"https://openalex.org/C45235069","wikidata":"https://www.wikidata.org/wiki/Q278425","display_name":"Table (database)","level":2,"score":0.44571778178215027},{"id":"https://openalex.org/C115988155","wikidata":"https://www.wikidata.org/wiki/Q3262192","display_name":"Decision problem","level":2,"score":0.4210898280143738},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.4000418782234192},{"id":"https://openalex.org/C80444323","wikidata":"https://www.wikidata.org/wiki/Q2878974","display_name":"Theoretical computer science","level":1,"score":0.3909907639026642},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.3766007423400879},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.3674704134464264},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.32510215044021606},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.25054192543029785},{"id":"https://openalex.org/C124101348","wikidata":"https://www.wikidata.org/wiki/Q172491","display_name":"Data mining","level":1,"score":0.20587903261184692},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.15138834714889526},{"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/C94625758","wikidata":"https://www.wikidata.org/wiki/Q7163","display_name":"Politics","level":2,"score":0.0},{"id":"https://openalex.org/C199539241","wikidata":"https://www.wikidata.org/wiki/Q7748","display_name":"Law","level":1,"score":0.0},{"id":"https://openalex.org/C2779234561","wikidata":"https://www.wikidata.org/wiki/Q11995","display_name":"Pregnancy","level":2,"score":0.0},{"id":"https://openalex.org/C17744445","wikidata":"https://www.wikidata.org/wiki/Q36442","display_name":"Political science","level":0,"score":0.0},{"id":"https://openalex.org/C54355233","wikidata":"https://www.wikidata.org/wiki/Q7162","display_name":"Genetics","level":1,"score":0.0},{"id":"https://openalex.org/C86803240","wikidata":"https://www.wikidata.org/wiki/Q420","display_name":"Biology","level":0,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1109/grc.2009.5255167","is_oa":false,"landing_page_url":"https://doi.org/10.1109/grc.2009.5255167","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2009 IEEE International Conference on Granular Computing","raw_type":"proceedings-article"}],"best_oa_location":null,"sustainable_development_goals":[{"id":"https://metadata.un.org/sdg/16","display_name":"Peace, Justice and strong institutions","score":0.5600000023841858}],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":20,"referenced_works":["https://openalex.org/W206898339","https://openalex.org/W1498663389","https://openalex.org/W1515071396","https://openalex.org/W1522657125","https://openalex.org/W1527850014","https://openalex.org/W1574962231","https://openalex.org/W1596914579","https://openalex.org/W1601687988","https://openalex.org/W1737048872","https://openalex.org/W1975464269","https://openalex.org/W2101285186","https://openalex.org/W2101437722","https://openalex.org/W2112468092","https://openalex.org/W2340020088","https://openalex.org/W2918350614","https://openalex.org/W4255833381","https://openalex.org/W6608363922","https://openalex.org/W6629823822","https://openalex.org/W6631365074","https://openalex.org/W6635832012"],"related_works":["https://openalex.org/W2393676918","https://openalex.org/W2393372203","https://openalex.org/W2365612261","https://openalex.org/W2149777707","https://openalex.org/W2119343539","https://openalex.org/W2142570142","https://openalex.org/W1020937460","https://openalex.org/W4214891796","https://openalex.org/W2086052565","https://openalex.org/W1923896538"],"abstract_inverted_index":{"This":[0],"paper":[1],"introduces":[2],"the":[3,37,46],"representation":[4],"of":[5,39,45,59,67,77,90,103],"generalized":[6,40,78,82,108],"dominance-based":[7],"decision":[8,52,68,79,83,95,109,120,140],"tables":[9,121],"by":[10,19,65,87,100,148],"neighborhood":[11,72,105],"systems.":[12,106],"Dominance-based":[13],"rough":[14],"set":[15],"approach":[16,145],"(DRSA)":[17],"introduced":[18,36],"Greco":[20],"et":[21,34],"al.":[22,35],"is":[23,85,111,146],"a":[24,43,51,57,88,101,139],"useful":[25],"tool":[26],"for":[27,74,137],"multi-criteria":[28],"data":[29],"analysis":[30],"problems.":[31],"Recently,":[32],"Dembczynski":[33],"concept":[38],"decisions":[41],"as":[42,70],"generalization":[44],"DRSA":[47],"where":[48],"criteria":[49],"in":[50],"table":[53,84,110,141],"may":[54],"be":[55],"assigned":[56],"range":[58],"values.":[60],"We":[61],"use":[62],"blocks":[63],"indexed":[64],"pairs":[66],"values":[69],"elementary":[71,104],"systems":[73],"computing":[75],"approximations":[76],"tables.":[80],"Each":[81],"represented":[86,99],"pair":[89,102],"lower":[91,116],"and":[92,117,134],"upper":[93,118],"singleton":[94,119],"tables,":[96],"which":[97],"are":[98,122],"A":[107],"definable":[112],"if":[113],"both":[114],"its":[115],"definable.":[123,142],"In":[124],"addition,":[125],"we":[126],"introduce":[127],"two":[128],"simple":[129],"algorithms":[130],"based":[131],"on":[132],"minimum":[133],"maximum":[135],"operations":[136],"making":[138],"The":[143],"proposed":[144],"demonstrated":[147],"examples.":[149]},"counts_by_year":[],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}