{"id":"https://openalex.org/W1989583229","doi":"https://doi.org/10.1109/grc.2014.6982851","title":"Rough sets in crisp and fuzzy granular hierarchical structures","display_name":"Rough sets in crisp and fuzzy granular hierarchical structures","publication_year":2014,"publication_date":"2014-10-01","ids":{"openalex":"https://openalex.org/W1989583229","doi":"https://doi.org/10.1109/grc.2014.6982851","mag":"1989583229"},"language":"en","primary_location":{"id":"doi:10.1109/grc.2014.6982851","is_oa":false,"landing_page_url":"https://doi.org/10.1109/grc.2014.6982851","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2014 IEEE International Conference on Granular Computing (GrC)","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/A5103678360","display_name":"Takehiro Tanaka","orcid":null},"institutions":[{"id":"https://openalex.org/I205349734","display_name":"Hokkaido University","ror":"https://ror.org/02e16g702","country_code":"JP","type":"education","lineage":["https://openalex.org/I205349734"]}],"countries":["JP"],"is_corresponding":true,"raw_author_name":"Takehiro Tanaka","raw_affiliation_strings":["Graduate School of Information Science and Techlonogies, Hokkaido University, Sapporo, Japan","Graduate School of Information Science and Techlonogies Hokkaido University, Sapporo 060-0814, Japan"],"affiliations":[{"raw_affiliation_string":"Graduate School of Information Science and Techlonogies, Hokkaido University, Sapporo, Japan","institution_ids":["https://openalex.org/I205349734"]},{"raw_affiliation_string":"Graduate School of Information Science and Techlonogies Hokkaido University, Sapporo 060-0814, Japan","institution_ids":["https://openalex.org/I205349734"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5110512145","display_name":"Tetsuya Murai","orcid":null},"institutions":[{"id":"https://openalex.org/I205349734","display_name":"Hokkaido University","ror":"https://ror.org/02e16g702","country_code":"JP","type":"education","lineage":["https://openalex.org/I205349734"]}],"countries":["JP"],"is_corresponding":false,"raw_author_name":"Tetsuya Murai","raw_affiliation_strings":["Graduate School of Information Science and Techlonogies, Hokkaido University, Sapporo, Japan","Graduate School of Information Science and Techlonogies Hokkaido University, Sapporo 060-0814, Japan"],"affiliations":[{"raw_affiliation_string":"Graduate School of Information Science and Techlonogies, Hokkaido University, Sapporo, Japan","institution_ids":["https://openalex.org/I205349734"]},{"raw_affiliation_string":"Graduate School of Information Science and Techlonogies Hokkaido University, Sapporo 060-0814, Japan","institution_ids":["https://openalex.org/I205349734"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5054917794","display_name":"Yasuo Kudo","orcid":"https://orcid.org/0009-0009-2968-1448"},"institutions":[{"id":"https://openalex.org/I41725924","display_name":"Muroran Institute of Technology","ror":"https://ror.org/04rymkk69","country_code":"JP","type":"education","lineage":["https://openalex.org/I41725924"]}],"countries":["JP"],"is_corresponding":false,"raw_author_name":"Yasuo Kudo","raw_affiliation_strings":["Department of Computer Science and Systems Engineering, Muroran Institute of Technology, Muroran, Japan","Department of Computer Science and Systems Engineering, Muroran Institute of Technology, Muroran, 050-8585 Japan#TAB#"],"affiliations":[{"raw_affiliation_string":"Department of Computer Science and Systems Engineering, Muroran Institute of Technology, Muroran, Japan","institution_ids":["https://openalex.org/I41725924"]},{"raw_affiliation_string":"Department of Computer Science and Systems Engineering, Muroran Institute of Technology, Muroran, 050-8585 Japan#TAB#","institution_ids":["https://openalex.org/I41725924"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5027608991","display_name":"Seiki Akania","orcid":null},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Seiki Akania","raw_affiliation_strings":["1-20-1, Higashi-Yurigaoka, Asao-ku, Kawasaki-shi, 215-0012, Japan"],"affiliations":[{"raw_affiliation_string":"1-20-1, Higashi-Yurigaoka, Asao-ku, Kawasaki-shi, 215-0012, Japan","institution_ids":[]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":4,"corresponding_author_ids":["https://openalex.org/A5103678360"],"corresponding_institution_ids":["https://openalex.org/I205349734"],"apc_list":null,"apc_paid":null,"fwci":0.7122,"has_fulltext":false,"cited_by_count":2,"citation_normalized_percentile":{"value":0.70129017,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":94},"biblio":{"volume":"4","issue":null,"first_page":"286","last_page":"291"},"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/T11727","display_name":"Advanced Algebra and Logic","score":0.9653000235557556,"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/T11671","display_name":"Fuzzy and Soft Set Theory","score":0.9595000147819519,"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/granular-computing","display_name":"Granular computing","score":0.7343610525131226},{"id":"https://openalex.org/keywords/fuzzy-logic","display_name":"Fuzzy logic","score":0.6647471189498901},{"id":"https://openalex.org/keywords/fuzzy-set","display_name":"Fuzzy set","score":0.5651768445968628},{"id":"https://openalex.org/keywords/rough-set","display_name":"Rough set","score":0.5523381233215332},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.5496715307235718},{"id":"https://openalex.org/keywords/basis","display_name":"Basis (linear algebra)","score":0.43209147453308105},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.4302273094654083},{"id":"https://openalex.org/keywords/fuzzy-number","display_name":"Fuzzy number","score":0.4288941025733948},{"id":"https://openalex.org/keywords/fuzzy-set-operations","display_name":"Fuzzy set operations","score":0.4234941005706787},{"id":"https://openalex.org/keywords/theoretical-computer-science","display_name":"Theoretical computer science","score":0.38212883472442627},{"id":"https://openalex.org/keywords/data-mining","display_name":"Data mining","score":0.32308053970336914},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.3203672170639038},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.2834998369216919}],"concepts":[{"id":"https://openalex.org/C17209119","wikidata":"https://www.wikidata.org/wiki/Q5596712","display_name":"Granular computing","level":3,"score":0.7343610525131226},{"id":"https://openalex.org/C58166","wikidata":"https://www.wikidata.org/wiki/Q224821","display_name":"Fuzzy logic","level":2,"score":0.6647471189498901},{"id":"https://openalex.org/C42011625","wikidata":"https://www.wikidata.org/wiki/Q1055058","display_name":"Fuzzy set","level":3,"score":0.5651768445968628},{"id":"https://openalex.org/C111012933","wikidata":"https://www.wikidata.org/wiki/Q3137210","display_name":"Rough set","level":2,"score":0.5523381233215332},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5496715307235718},{"id":"https://openalex.org/C12426560","wikidata":"https://www.wikidata.org/wiki/Q189569","display_name":"Basis (linear algebra)","level":2,"score":0.43209147453308105},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.4302273094654083},{"id":"https://openalex.org/C1883856","wikidata":"https://www.wikidata.org/wiki/Q3407463","display_name":"Fuzzy number","level":4,"score":0.4288941025733948},{"id":"https://openalex.org/C148671577","wikidata":"https://www.wikidata.org/wiki/Q5511133","display_name":"Fuzzy set operations","level":4,"score":0.4234941005706787},{"id":"https://openalex.org/C80444323","wikidata":"https://www.wikidata.org/wiki/Q2878974","display_name":"Theoretical computer science","level":1,"score":0.38212883472442627},{"id":"https://openalex.org/C124101348","wikidata":"https://www.wikidata.org/wiki/Q172491","display_name":"Data mining","level":1,"score":0.32308053970336914},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.3203672170639038},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.2834998369216919},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1109/grc.2014.6982851","is_oa":false,"landing_page_url":"https://doi.org/10.1109/grc.2014.6982851","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2014 IEEE International Conference on Granular Computing (GrC)","raw_type":"proceedings-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":10,"referenced_works":["https://openalex.org/W266029124","https://openalex.org/W1531126559","https://openalex.org/W1557923305","https://openalex.org/W1735818836","https://openalex.org/W2027654459","https://openalex.org/W2093626888","https://openalex.org/W2096192284","https://openalex.org/W2178918608","https://openalex.org/W4211007335","https://openalex.org/W6609807345"],"related_works":["https://openalex.org/W2385082087","https://openalex.org/W2978631811","https://openalex.org/W2381555525","https://openalex.org/W2484240834","https://openalex.org/W327654139","https://openalex.org/W2389689794","https://openalex.org/W1970726137","https://openalex.org/W1486684451","https://openalex.org/W4361984403","https://openalex.org/W4361273540"],"abstract_inverted_index":{"We":[0],"proposed":[1],"granular":[2,54],"hierarchical":[3,55],"structures":[4],"generated":[5],"from":[6],"free":[7],"monoids":[8],"in":[9,47],"order":[10],"to":[11],"provide":[12],"a":[13],"unified":[14],"basis":[15],"for":[16],"various":[17],"extended":[18],"concepts":[19],"of":[20,44,50],"sets":[21,25],"like":[22],"multisets,":[23,35],"fuzzy":[24,34,45,53],"and":[26,40,52],"others.":[27],"In":[28],"this":[29],"paper,":[30],"we":[31],"examine":[32],"rough":[33],"that":[36],"is,":[37],"the":[38,48],"upper":[39],"lower":[41],"approximation":[42],"operators":[43],"multisets":[46],"framework":[49],"crisp":[51],"structures.":[56]},"counts_by_year":[{"year":2016,"cited_by_count":1},{"year":2015,"cited_by_count":1}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}