{"id":"https://openalex.org/W2036920370","doi":"https://doi.org/10.1109/grc.2011.6122651","title":"Properties on inclusion relations and division charts in non-deterministic information systems","display_name":"Properties on inclusion relations and division charts in non-deterministic information systems","publication_year":2011,"publication_date":"2011-11-01","ids":{"openalex":"https://openalex.org/W2036920370","doi":"https://doi.org/10.1109/grc.2011.6122651","mag":"2036920370"},"language":"en","primary_location":{"id":"doi:10.1109/grc.2011.6122651","is_oa":false,"landing_page_url":"https://doi.org/10.1109/grc.2011.6122651","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2011 IEEE International Conference on Granular Computing","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/A5075949961","display_name":"Hitomi Okuma","orcid":null},"institutions":[{"id":"https://openalex.org/I188815454","display_name":"Oita University","ror":"https://ror.org/01nyv7k26","country_code":"JP","type":"education","lineage":["https://openalex.org/I188815454"]}],"countries":["JP"],"is_corresponding":false,"raw_author_name":"Hitomi Okuma","raw_affiliation_strings":["Faculty of Education and Welfare Science, Oita University, Oita, Japan"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Faculty of Education and Welfare Science, Oita University, Oita, Japan","institution_ids":["https://openalex.org/I188815454"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5101019596","display_name":"Michinori Nakata","orcid":null},"institutions":[{"id":"https://openalex.org/I61575859","display_name":"Josai International University","ror":"https://ror.org/039pch476","country_code":"JP","type":"education","lineage":["https://openalex.org/I61575859"]}],"countries":["JP"],"is_corresponding":false,"raw_author_name":"Michinori Nakata","raw_affiliation_strings":["Faculty of Management and Information Science, Josai International University, Togane, Chiba, Japan"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Faculty of Management and Information Science, Josai International University, Togane, Chiba, Japan","institution_ids":["https://openalex.org/I61575859"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5057541763","display_name":"Dominik \u015al\u0229zak","orcid":"https://orcid.org/0000-0003-2453-4974"},"institutions":[{"id":"https://openalex.org/I4210137370","display_name":"Institute of Mathematics","ror":"https://ror.org/04hrrh248","country_code":"PL","type":"facility","lineage":["https://openalex.org/I4210137370","https://openalex.org/I99542240"]},{"id":"https://openalex.org/I47996466","display_name":"University of Warmia and Mazury in Olsztyn","ror":"https://ror.org/05s4feg49","country_code":"PL","type":"education","lineage":["https://openalex.org/I47996466"]}],"countries":["PL"],"is_corresponding":false,"raw_author_name":"Dominik Slezak","raw_affiliation_strings":["Infobright, Inc., Warsaw, Poland","Institute of Mathematics, University of Warmia and Mazury, Warsaw, Poland"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Infobright, Inc., Warsaw, Poland","institution_ids":[]},{"raw_affiliation_string":"Institute of Mathematics, University of Warmia and Mazury, Warsaw, Poland","institution_ids":["https://openalex.org/I4210137370","https://openalex.org/I47996466"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5051247319","display_name":"Hiroshi Sakai","orcid":"https://orcid.org/0000-0002-5382-9379"},"institutions":[{"id":"https://openalex.org/I207014233","display_name":"Kyushu Institute of Technology","ror":"https://ror.org/02278tr80","country_code":"JP","type":"education","lineage":["https://openalex.org/I207014233"]}],"countries":["JP"],"is_corresponding":false,"raw_author_name":"Hiroshi Sakai","raw_affiliation_strings":["Mathematical Sciences Section, Department of Basic Sciences, Faculty of Engineering, Kyushu Institute of Technology, Kitakyushu, Japan"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Mathematical Sciences Section, Department of Basic Sciences, Faculty of Engineering, Kyushu Institute of Technology, Kitakyushu, Japan","institution_ids":["https://openalex.org/I207014233"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":5,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":null,"has_fulltext":false,"cited_by_count":3,"citation_normalized_percentile":null,"cited_by_percentile_year":null,"biblio":{"volume":null,"issue":null,"first_page":"521","last_page":"526"},"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":0.9883999824523926,"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/T10181","display_name":"Natural Language Processing Techniques","score":0.968500018119812,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/division","display_name":"Division (mathematics)","score":0.7272523045539856},{"id":"https://openalex.org/keywords/consistency","display_name":"Consistency (knowledge bases)","score":0.6876674890518188},{"id":"https://openalex.org/keywords/equivalence-relation","display_name":"Equivalence relation","score":0.6305100321769714},{"id":"https://openalex.org/keywords/chart","display_name":"Chart","score":0.6276993751525879},{"id":"https://openalex.org/keywords/relation","display_name":"Relation (database)","score":0.5619391798973083},{"id":"https://openalex.org/keywords/equivalence","display_name":"Equivalence (formal languages)","score":0.5511597394943237},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.5150806307792664},{"id":"https://openalex.org/keywords/diagram","display_name":"Diagram","score":0.5093308687210083},{"id":"https://openalex.org/keywords/property","display_name":"Property (philosophy)","score":0.504205584526062},{"id":"https://openalex.org/keywords/inclusion","display_name":"Inclusion (mineral)","score":0.46735668182373047},{"id":"https://openalex.org/keywords/set","display_name":"Set (abstract data type)","score":0.4640120267868042},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.45642325282096863},{"id":"https://openalex.org/keywords/theoretical-computer-science","display_name":"Theoretical computer science","score":0.41947120428085327},{"id":"https://openalex.org/keywords/data-mining","display_name":"Data mining","score":0.3132646679878235},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.25453829765319824},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.20875269174575806},{"id":"https://openalex.org/keywords/statistics","display_name":"Statistics","score":0.1528967022895813},{"id":"https://openalex.org/keywords/arithmetic","display_name":"Arithmetic","score":0.10815802216529846},{"id":"https://openalex.org/keywords/programming-language","display_name":"Programming language","score":0.08569559454917908}],"concepts":[{"id":"https://openalex.org/C60798267","wikidata":"https://www.wikidata.org/wiki/Q1226939","display_name":"Division (mathematics)","level":2,"score":0.7272523045539856},{"id":"https://openalex.org/C2776436953","wikidata":"https://www.wikidata.org/wiki/Q5163215","display_name":"Consistency (knowledge bases)","level":2,"score":0.6876674890518188},{"id":"https://openalex.org/C156103551","wikidata":"https://www.wikidata.org/wiki/Q130998","display_name":"Equivalence relation","level":2,"score":0.6305100321769714},{"id":"https://openalex.org/C190812933","wikidata":"https://www.wikidata.org/wiki/Q28923","display_name":"Chart","level":2,"score":0.6276993751525879},{"id":"https://openalex.org/C25343380","wikidata":"https://www.wikidata.org/wiki/Q277521","display_name":"Relation (database)","level":2,"score":0.5619391798973083},{"id":"https://openalex.org/C2780069185","wikidata":"https://www.wikidata.org/wiki/Q7977945","display_name":"Equivalence (formal languages)","level":2,"score":0.5511597394943237},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.5150806307792664},{"id":"https://openalex.org/C186399060","wikidata":"https://www.wikidata.org/wiki/Q959962","display_name":"Diagram","level":2,"score":0.5093308687210083},{"id":"https://openalex.org/C189950617","wikidata":"https://www.wikidata.org/wiki/Q937228","display_name":"Property (philosophy)","level":2,"score":0.504205584526062},{"id":"https://openalex.org/C109359841","wikidata":"https://www.wikidata.org/wiki/Q728944","display_name":"Inclusion (mineral)","level":2,"score":0.46735668182373047},{"id":"https://openalex.org/C177264268","wikidata":"https://www.wikidata.org/wiki/Q1514741","display_name":"Set (abstract data type)","level":2,"score":0.4640120267868042},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.45642325282096863},{"id":"https://openalex.org/C80444323","wikidata":"https://www.wikidata.org/wiki/Q2878974","display_name":"Theoretical computer science","level":1,"score":0.41947120428085327},{"id":"https://openalex.org/C124101348","wikidata":"https://www.wikidata.org/wiki/Q172491","display_name":"Data mining","level":1,"score":0.3132646679878235},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.25453829765319824},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.20875269174575806},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.1528967022895813},{"id":"https://openalex.org/C94375191","wikidata":"https://www.wikidata.org/wiki/Q11205","display_name":"Arithmetic","level":1,"score":0.10815802216529846},{"id":"https://openalex.org/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","level":1,"score":0.08569559454917908},{"id":"https://openalex.org/C111472728","wikidata":"https://www.wikidata.org/wiki/Q9471","display_name":"Epistemology","level":1,"score":0.0},{"id":"https://openalex.org/C107993555","wikidata":"https://www.wikidata.org/wiki/Q1662673","display_name":"Gender studies","level":1,"score":0.0},{"id":"https://openalex.org/C138885662","wikidata":"https://www.wikidata.org/wiki/Q5891","display_name":"Philosophy","level":0,"score":0.0},{"id":"https://openalex.org/C144024400","wikidata":"https://www.wikidata.org/wiki/Q21201","display_name":"Sociology","level":0,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1109/grc.2011.6122651","is_oa":false,"landing_page_url":"https://doi.org/10.1109/grc.2011.6122651","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2011 IEEE International Conference on Granular Computing","raw_type":"proceedings-article"}],"best_oa_location":null,"sustainable_development_goals":[{"score":0.800000011920929,"display_name":"Reduced inequalities","id":"https://metadata.un.org/sdg/10"}],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":8,"referenced_works":["https://openalex.org/W198358702","https://openalex.org/W1557923305","https://openalex.org/W1979029381","https://openalex.org/W2003017562","https://openalex.org/W2160047456","https://openalex.org/W2165443673","https://openalex.org/W2174976145","https://openalex.org/W6685327799"],"related_works":["https://openalex.org/W2087502554","https://openalex.org/W4213091376","https://openalex.org/W4252317921","https://openalex.org/W2038973998","https://openalex.org/W2033939734","https://openalex.org/W1975640583","https://openalex.org/W2330973770","https://openalex.org/W2499765358","https://openalex.org/W2349728712","https://openalex.org/W2980438719"],"abstract_inverted_index":{"In":[0,26],"rough":[1,21],"set":[2],"theory,":[3],"the":[4,7,12,61,66,72],"concept":[5],"of":[6,15],"consistency":[8],"is":[9],"characterized":[10],"by":[11,71],"inclusion":[13,33,58],"relation":[14],"equivalence":[16],"classes.":[17],"This":[18,50],"property":[19],"connects":[20],"sets":[22],"with":[23],"granular":[24],"computing.":[25],"this":[27],"paper,":[28],"we":[29,64],"consider":[30],"properties":[31,46],"on":[32],"relations,":[34],"and":[35,60],"propose":[36],"a":[37,40],"diagram":[38],"named":[39],"division":[41,51,73],"chart.":[42,74],"We":[43],"examine":[44],"several":[45],"in":[47],"five":[48],"cases.":[49],"chart":[52],"shows":[53],"us":[54],"visual":[55],"information":[56],"about":[57],"relations":[59],"consistency.":[62],"Furthermore,":[63],"clarify":[65],"previously":[67],"proposed":[68],"calculation":[69],"methods":[70]},"counts_by_year":[{"year":2012,"cited_by_count":3}],"updated_date":"2026-07-22T07:51:19.307946","created_date":"2025-10-10T00:00:00"}
