{"id":"https://openalex.org/W2136674493","doi":"https://doi.org/10.1109/icsmc.2009.5346050","title":"On definability of sets in dominance-based approximation space","display_name":"On definability of sets in dominance-based approximation space","publication_year":2009,"publication_date":"2009-10-01","ids":{"openalex":"https://openalex.org/W2136674493","doi":"https://doi.org/10.1109/icsmc.2009.5346050","mag":"2136674493"},"language":"en","primary_location":{"id":"doi:10.1109/icsmc.2009.5346050","is_oa":false,"landing_page_url":"https://doi.org/10.1109/icsmc.2009.5346050","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 Systems, Man and Cybernetics","raw_type":"proceedings-article"},"type":"conference-paper","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":false,"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, Akron, OH 44325-4003, USA#TAB#"],"raw_orcid":null,"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, Akron, OH 44325-4003, USA#TAB#","institution_ids":["https://openalex.org/I110152177"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5111443908","display_name":"Fengming M. Chang","orcid":null},"institutions":[{"id":"https://openalex.org/I143578492","display_name":"Asia University","ror":"https://ror.org/038a1tp19","country_code":"TW","type":"education","lineage":["https://openalex.org/I143578492"]}],"countries":["TW"],"is_corresponding":false,"raw_author_name":"Fengming M. Chang","raw_affiliation_strings":["Department of Information Science and Applications, Asia University Wufeng, Taichung, Taiwan","Department of Information Science and Applications, Asia University, Wufeng, Taichung 41354, Taiwan"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Information Science and Applications, Asia University Wufeng, Taichung, Taiwan","institution_ids":["https://openalex.org/I143578492"]},{"raw_affiliation_string":"Department of Information Science and Applications, Asia University, Wufeng, Taichung 41354, Taiwan","institution_ids":["https://openalex.org/I143578492"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":2,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":null,"has_fulltext":false,"cited_by_count":1,"citation_normalized_percentile":null,"cited_by_percentile_year":null,"biblio":{"volume":"rskt 2006","issue":null,"first_page":"2953","last_page":"2958"},"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":0.9599000215530396,"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/T10050","display_name":"Multi-Criteria Decision Making","score":0.9560999870300293,"subfield":{"id":"https://openalex.org/subfields/1803","display_name":"Management Science and Operations Research"},"field":{"id":"https://openalex.org/fields/18","display_name":"Decision Sciences"},"domain":{"id":"https://openalex.org/domains/2","display_name":"Social Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/binary-decision-diagram","display_name":"Binary decision diagram","score":0.7081477046012878},{"id":"https://openalex.org/keywords/binary-number","display_name":"Binary number","score":0.5973677635192871},{"id":"https://openalex.org/keywords/rough-set","display_name":"Rough set","score":0.5904480814933777},{"id":"https://openalex.org/keywords/decision-table","display_name":"Decision table","score":0.5683905482292175},{"id":"https://openalex.org/keywords/singleton","display_name":"Singleton","score":0.5683068037033081},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.5675076246261597},{"id":"https://openalex.org/keywords/generalization","display_name":"Generalization","score":0.5603858828544617},{"id":"https://openalex.org/keywords/representation","display_name":"Representation (politics)","score":0.5270129442214966},{"id":"https://openalex.org/keywords/binary-relation","display_name":"Binary relation","score":0.5245145559310913},{"id":"https://openalex.org/keywords/decision-rule","display_name":"Decision rule","score":0.46251407265663147},{"id":"https://openalex.org/keywords/dominance-based-rough-set-approach","display_name":"Dominance-based rough set approach","score":0.4623244106769562},{"id":"https://openalex.org/keywords/theoretical-computer-science","display_name":"Theoretical computer science","score":0.4140492379665375},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.40722036361694336},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.4071996510028839},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.34904569387435913},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.2459900677204132},{"id":"https://openalex.org/keywords/statistics","display_name":"Statistics","score":0.1636333167552948},{"id":"https://openalex.org/keywords/arithmetic","display_name":"Arithmetic","score":0.11443459987640381},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.0761212706565857}],"concepts":[{"id":"https://openalex.org/C3309909","wikidata":"https://www.wikidata.org/wiki/Q864155","display_name":"Binary decision diagram","level":2,"score":0.7081477046012878},{"id":"https://openalex.org/C48372109","wikidata":"https://www.wikidata.org/wiki/Q3913","display_name":"Binary number","level":2,"score":0.5973677635192871},{"id":"https://openalex.org/C111012933","wikidata":"https://www.wikidata.org/wiki/Q3137210","display_name":"Rough set","level":2,"score":0.5904480814933777},{"id":"https://openalex.org/C172967692","wikidata":"https://www.wikidata.org/wiki/Q747762","display_name":"Decision table","level":3,"score":0.5683905482292175},{"id":"https://openalex.org/C117354338","wikidata":"https://www.wikidata.org/wiki/Q1165112","display_name":"Singleton","level":3,"score":0.5683068037033081},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5675076246261597},{"id":"https://openalex.org/C177148314","wikidata":"https://www.wikidata.org/wiki/Q170084","display_name":"Generalization","level":2,"score":0.5603858828544617},{"id":"https://openalex.org/C2776359362","wikidata":"https://www.wikidata.org/wiki/Q2145286","display_name":"Representation (politics)","level":3,"score":0.5270129442214966},{"id":"https://openalex.org/C65180967","wikidata":"https://www.wikidata.org/wiki/Q130901","display_name":"Binary relation","level":2,"score":0.5245145559310913},{"id":"https://openalex.org/C84839998","wikidata":"https://www.wikidata.org/wiki/Q5249245","display_name":"Decision rule","level":2,"score":0.46251407265663147},{"id":"https://openalex.org/C39105242","wikidata":"https://www.wikidata.org/wiki/Q5290286","display_name":"Dominance-based rough set approach","level":3,"score":0.4623244106769562},{"id":"https://openalex.org/C80444323","wikidata":"https://www.wikidata.org/wiki/Q2878974","display_name":"Theoretical computer science","level":1,"score":0.4140492379665375},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.40722036361694336},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.4071996510028839},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.34904569387435913},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.2459900677204132},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.1636333167552948},{"id":"https://openalex.org/C94375191","wikidata":"https://www.wikidata.org/wiki/Q11205","display_name":"Arithmetic","level":1,"score":0.11443459987640381},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.0761212706565857},{"id":"https://openalex.org/C86803240","wikidata":"https://www.wikidata.org/wiki/Q420","display_name":"Biology","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/C2779234561","wikidata":"https://www.wikidata.org/wiki/Q11995","display_name":"Pregnancy","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/C17744445","wikidata":"https://www.wikidata.org/wiki/Q36442","display_name":"Political science","level":0,"score":0.0},{"id":"https://openalex.org/C94625758","wikidata":"https://www.wikidata.org/wiki/Q7163","display_name":"Politics","level":2,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1109/icsmc.2009.5346050","is_oa":false,"landing_page_url":"https://doi.org/10.1109/icsmc.2009.5346050","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 Systems, Man and Cybernetics","raw_type":"proceedings-article"}],"best_oa_location":null,"sustainable_development_goals":[{"display_name":"Peace, Justice and strong institutions","id":"https://metadata.un.org/sdg/16","score":0.6600000262260437}],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":21,"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/W1993364847","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":[3,99,110],"representation":[4,84],"of":[5,22,33,41,53,73,85,101],"dominance-based":[6],"approximation":[7],"space":[8],"by":[9,14,20,46,108,132],"binary":[10,78,102],"neighborhood":[11,79],"systems":[12,80],"introduced":[13,45],"Lin.":[15],"We":[16,75],"use":[17],"blocks":[18],"indexed":[19],"pairs":[21],"decision":[23,37,62,66,91],"values":[24],"as":[25,50],"elementary":[26],"neighborhoods":[27],"or":[28],"granules":[29],"for":[30],"computing":[31],"approximations":[32,121],"generalized":[34,42,89],"multiple":[35],"criteria":[36,60],"tables.":[38,92],"The":[39,93,127],"concept":[40],"decisions":[43],"was":[44],"Dembczynski":[47],"et":[48],"al.":[49],"a":[51,65,71,82],"generalization":[52],"DRSA":[54],"(dominance-based":[55],"rough":[56],"set":[57],"approach)":[58],"where":[59],"and":[61,88,122],"attribute":[63],"in":[64],"table":[67],"may":[68],"be":[69],"assigned":[70],"range":[72],"values.":[74],"show":[76],"that":[77],"provide":[81],"uniform":[83],"both":[86],"singleton":[87],"multi-criteria":[90],"main":[94],"task":[95],"is":[96,130],"to":[97,104],"determine":[98],"family":[100],"relations":[103],"capture":[105],"inconsistency":[106],"caused":[107],"violating":[109],"dominance":[111],"principle.":[112],"In":[113],"addition,":[114],"some":[115],"interesting":[116],"relationships":[117],"among":[118],"lower,":[119],"upper":[120],"boundary":[123],"sets":[124],"are":[125],"presented.":[126],"proposed":[128],"approach":[129],"demonstrated":[131],"examples.":[133]},"counts_by_year":[],"updated_date":"2026-07-14T23:27:15.235271","created_date":"2025-10-10T00:00:00"}
