{"id":"https://openalex.org/W2247392610","doi":"https://doi.org/10.1007/978-3-319-25754-9_16","title":"Families of the Granules for Association Rules and Their Properties","display_name":"Families of the Granules for Association Rules and Their Properties","publication_year":2015,"publication_date":"2015-01-01","ids":{"openalex":"https://openalex.org/W2247392610","doi":"https://doi.org/10.1007/978-3-319-25754-9_16","mag":"2247392610"},"language":"en","primary_location":{"id":"doi:10.1007/978-3-319-25754-9_16","is_oa":true,"landing_page_url":"https://doi.org/10.1007/978-3-319-25754-9_16","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":"cc-by-nc","license_id":"https://openalex.org/licenses/cc-by-nc","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Lecture Notes in Computer Science","raw_type":"book-chapter"},"type":"conference-paper","indexed_in":["crossref"],"open_access":{"is_oa":true,"oa_status":"hybrid","oa_url":"https://doi.org/10.1007/978-3-319-25754-9_16","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","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":true,"raw_author_name":"Hiroshi Sakai","raw_affiliation_strings":["Graduate School of Engineering, Kyushu Institute of Technology, Tobata, Kitakyushu, 804-8550, Japan"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Graduate School of Engineering, Kyushu Institute of Technology, Tobata, Kitakyushu, 804-8550, Japan","institution_ids":["https://openalex.org/I207014233"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5100387431","display_name":"Chenxi Liu","orcid":"https://orcid.org/0000-0003-3613-1662"},"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":"Chenxi Liu","raw_affiliation_strings":["Graduate School of Engineering, Kyushu Institute of Technology, Tobata, Kitakyushu, 804-8550, Japan"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Graduate School of Engineering, Kyushu Institute of Technology, Tobata, Kitakyushu, 804-8550, Japan","institution_ids":["https://openalex.org/I207014233"]}]},{"author_position":"last","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, Gumyo, Togane, Chiba, 283, Japan"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Faculty of Management and Information Science, Josai International University, Gumyo, Togane, Chiba, 283, Japan","institution_ids":["https://openalex.org/I61575859"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5051247319"],"corresponding_institution_ids":["https://openalex.org/I207014233"],"apc_list":{"value":5000,"currency":"EUR","value_usd":5392},"apc_paid":{"value":5000,"currency":"EUR","value_usd":5392},"fwci":0.0,"has_fulltext":true,"cited_by_count":0,"citation_normalized_percentile":{"value":0.14886225,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":"9436","issue":null,"first_page":"175","last_page":"187"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11063","display_name":"Rough Sets and Fuzzy Logic","score":0.9998999834060669,"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":0.9998999834060669,"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":0.9957000017166138,"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/T11106","display_name":"Data Management and Algorithms","score":0.9761999845504761,"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/rough-set","display_name":"Rough set","score":0.7466467618942261},{"id":"https://openalex.org/keywords/granule","display_name":"Granule (geology)","score":0.6908353567123413},{"id":"https://openalex.org/keywords/association-rule-learning","display_name":"Association rule learning","score":0.6897057294845581},{"id":"https://openalex.org/keywords/a-priori-and-a-posteriori","display_name":"A priori and a posteriori","score":0.6749838590621948},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.6609154343605042},{"id":"https://openalex.org/keywords/apriori-algorithm","display_name":"Apriori algorithm","score":0.6449028253555298},{"id":"https://openalex.org/keywords/equivalence","display_name":"Equivalence (formal languages)","score":0.5972560048103333},{"id":"https://openalex.org/keywords/equivalence-class","display_name":"Equivalence class (music)","score":0.5640468597412109},{"id":"https://openalex.org/keywords/data-mining","display_name":"Data mining","score":0.5235121846199036},{"id":"https://openalex.org/keywords/table","display_name":"Table (database)","score":0.5078156590461731},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.4097138047218323},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.289140522480011},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.1857975423336029}],"concepts":[{"id":"https://openalex.org/C111012933","wikidata":"https://www.wikidata.org/wiki/Q3137210","display_name":"Rough set","level":2,"score":0.7466467618942261},{"id":"https://openalex.org/C49760210","wikidata":"https://www.wikidata.org/wiki/Q5596727","display_name":"Granule (geology)","level":2,"score":0.6908353567123413},{"id":"https://openalex.org/C193524817","wikidata":"https://www.wikidata.org/wiki/Q386780","display_name":"Association rule learning","level":2,"score":0.6897057294845581},{"id":"https://openalex.org/C75553542","wikidata":"https://www.wikidata.org/wiki/Q178161","display_name":"A priori and a posteriori","level":2,"score":0.6749838590621948},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.6609154343605042},{"id":"https://openalex.org/C81440476","wikidata":"https://www.wikidata.org/wiki/Q513511","display_name":"Apriori algorithm","level":3,"score":0.6449028253555298},{"id":"https://openalex.org/C2780069185","wikidata":"https://www.wikidata.org/wiki/Q7977945","display_name":"Equivalence (formal languages)","level":2,"score":0.5972560048103333},{"id":"https://openalex.org/C2777044963","wikidata":"https://www.wikidata.org/wiki/Q5384707","display_name":"Equivalence class (music)","level":2,"score":0.5640468597412109},{"id":"https://openalex.org/C124101348","wikidata":"https://www.wikidata.org/wiki/Q172491","display_name":"Data mining","level":1,"score":0.5235121846199036},{"id":"https://openalex.org/C45235069","wikidata":"https://www.wikidata.org/wiki/Q278425","display_name":"Table (database)","level":2,"score":0.5078156590461731},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.4097138047218323},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.289140522480011},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.1857975423336029},{"id":"https://openalex.org/C127313418","wikidata":"https://www.wikidata.org/wiki/Q1069","display_name":"Geology","level":0,"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/C111472728","wikidata":"https://www.wikidata.org/wiki/Q9471","display_name":"Epistemology","level":1,"score":0.0},{"id":"https://openalex.org/C114793014","wikidata":"https://www.wikidata.org/wiki/Q52109","display_name":"Geomorphology","level":1,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1007/978-3-319-25754-9_16","is_oa":true,"landing_page_url":"https://doi.org/10.1007/978-3-319-25754-9_16","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":"cc-by-nc","license_id":"https://openalex.org/licenses/cc-by-nc","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Lecture Notes in Computer Science","raw_type":"book-chapter"},{"id":"pmh:oai:irdb.nii.ac.jp:01216:0000928715","is_oa":true,"landing_page_url":"https://kyutech.repo.nii.ac.jp/records/4918","pdf_url":null,"source":{"id":"https://openalex.org/S7407056385","display_name":"Institutional Repositories DataBase (IRDB)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I184597095","host_organization_name":"National Institute of Informatics","host_organization_lineage":["https://openalex.org/I184597095"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Lecture Notes in Computer Science","raw_type":"conference paper"}],"best_oa_location":{"id":"doi:10.1007/978-3-319-25754-9_16","is_oa":true,"landing_page_url":"https://doi.org/10.1007/978-3-319-25754-9_16","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":"cc-by-nc","license_id":"https://openalex.org/licenses/cc-by-nc","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Lecture Notes in Computer Science","raw_type":"book-chapter"},"sustainable_development_goals":[],"awards":[{"id":"https://openalex.org/G5775481728","display_name":"A study of the problems associated with Rough Set Non-deterministic Information Analysis","funder_award_id":"26330277","funder_id":"https://openalex.org/F4320334764","funder_display_name":"Japan Society for the Promotion of Science"}],"funders":[{"id":"https://openalex.org/F4320334764","display_name":"Japan Society for the Promotion of Science","ror":"https://ror.org/00hhkn466"}],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":20,"referenced_works":["https://openalex.org/W198358702","https://openalex.org/W260280808","https://openalex.org/W1506285740","https://openalex.org/W1542932304","https://openalex.org/W1553696291","https://openalex.org/W1553701556","https://openalex.org/W1557923305","https://openalex.org/W1872996274","https://openalex.org/W1979029381","https://openalex.org/W1994581962","https://openalex.org/W2003017562","https://openalex.org/W2019254124","https://openalex.org/W2049234232","https://openalex.org/W2056894038","https://openalex.org/W2098034130","https://openalex.org/W2328701402","https://openalex.org/W2610670723","https://openalex.org/W3120740533","https://openalex.org/W4211144022","https://openalex.org/W4232953319"],"related_works":["https://openalex.org/W2390051172","https://openalex.org/W2297208791","https://openalex.org/W2367209111","https://openalex.org/W2351000793","https://openalex.org/W2366790077","https://openalex.org/W2348276166","https://openalex.org/W3034345083","https://openalex.org/W2607264580","https://openalex.org/W3012205960","https://openalex.org/W1483188779"],"abstract_inverted_index":{"We":[0,117],"employed":[1],"the":[2,5,25,37,53,76,96,100,103,114,128,143,148],"granule":[3],"(or":[4],"equivalence":[6],"class)":[7],"defined":[8,28,39],"by":[9,29,40,74,112],"a":[10,34,44,122],"descriptor":[11],"in":[12,43],"tables,":[13],"and":[14,32,56,67,99,102,126,130,141],"investigated":[15],"rough":[16],"set-based":[17],"rule":[18,156,167],"generation.":[19],"In":[20,89],"this":[21,82,90],"paper,":[22],"we":[23,57,80,146],"consider":[24,147],"new":[26],"granules":[27,38],"an":[30,41],"implication,":[31],"propose":[33],"family":[35,50,93],"of":[36,52,95,106,150],"implication":[42],"table":[45,123,135],"with":[46,86],"exact":[47],"data.":[48,88,160],"Each":[49],"consists":[51,94],"four":[54,77],"granules,":[55,98],"show":[58],"that":[59,119],"three":[60,107],"criterion":[61],"values,":[62],"support":[63,125,137],",":[64,66,69,138,140],"accuracy":[65,127,139],"coverage":[68,142],"can":[70],"easily":[71],"be":[72],"obtained":[73,111],"using":[75,113],"granules.":[78,116],"Then,":[79],"extend":[81],"framework":[83],"to":[84,153],"tables":[85],"non-deterministic":[87],"case,":[91],"each":[92],"nine":[97,115],"minimum":[101],"maximum":[104],"values":[105],"criteria":[108],"are":[109],"also":[110],"prove":[118],"there":[120,132],"is":[121,133],"causing":[124,136],"minimum,":[129],"generally":[131],"no":[134],"minimum.":[144],"Finally,":[145],"application":[149],"these":[151],"properties":[152,162],"Apriori":[154,165],"-based":[155,166],"generation":[157,168],"from":[158],"uncertain":[159],"These":[161],"will":[163],"make":[164],"more":[169],"effective.":[170]},"counts_by_year":[],"updated_date":"2026-08-04T08:18:43.703281","created_date":"2025-10-10T00:00:00"}
