{"id":"https://openalex.org/W2144423797","doi":"https://doi.org/10.1109/fuzzy.2004.1375461","title":"Roughness of fuzzy sets based on two new operators","display_name":"Roughness of fuzzy sets based on two new operators","publication_year":2005,"publication_date":"2005-02-28","ids":{"openalex":"https://openalex.org/W2144423797","doi":"https://doi.org/10.1109/fuzzy.2004.1375461","mag":"2144423797"},"language":"en","primary_location":{"id":"doi:10.1109/fuzzy.2004.1375461","is_oa":false,"landing_page_url":"https://doi.org/10.1109/fuzzy.2004.1375461","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2004 IEEE International Conference on Fuzzy Systems (IEEE Cat. No.04CH37542)","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/A5075227587","display_name":"Hongli Liang","orcid":null},"institutions":[{"id":"https://openalex.org/I9224756","display_name":"Northeastern University","ror":"https://ror.org/03awzbc87","country_code":"CN","type":"education","lineage":["https://openalex.org/I9224756"]}],"countries":["CN"],"is_corresponding":true,"raw_author_name":"Hongli Liang","raw_affiliation_strings":["School of Information Science and Engineering, Northeastern University, Shenyang, Liaoning, China","School of information Science and Engineering, Northeastern University Shenyang, China"],"affiliations":[{"raw_affiliation_string":"School of Information Science and Engineering, Northeastern University, Shenyang, Liaoning, China","institution_ids":["https://openalex.org/I9224756"]},{"raw_affiliation_string":"School of information Science and Engineering, Northeastern University Shenyang, China","institution_ids":["https://openalex.org/I9224756"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5111880111","display_name":"Huaguang Zhang","orcid":null},"institutions":[{"id":"https://openalex.org/I9224756","display_name":"Northeastern University","ror":"https://ror.org/03awzbc87","country_code":"CN","type":"education","lineage":["https://openalex.org/I9224756"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Huaguang Zhang","raw_affiliation_strings":["School of Information Science and Engineering, Northeastern University, Shenyang, Liaoning, China","School of information Science and Engineering, Northeastern University Shenyang, China"],"affiliations":[{"raw_affiliation_string":"School of Information Science and Engineering, Northeastern University, Shenyang, Liaoning, China","institution_ids":["https://openalex.org/I9224756"]},{"raw_affiliation_string":"School of information Science and Engineering, Northeastern University Shenyang, China","institution_ids":["https://openalex.org/I9224756"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5004057129","display_name":"Derong Liu","orcid":"https://orcid.org/0000-0003-3715-4778"},"institutions":[{"id":"https://openalex.org/I4210145583","display_name":"Bioengineering Center","ror":"https://ror.org/04f0ydx59","country_code":"RU","type":"facility","lineage":["https://openalex.org/I1313323035","https://openalex.org/I4210145583"]},{"id":"https://openalex.org/I39422238","display_name":"University of Illinois Chicago","ror":"https://ror.org/02mpq6x41","country_code":"US","type":"education","lineage":["https://openalex.org/I39422238"]}],"countries":["RU","US"],"is_corresponding":false,"raw_author_name":"Derong Liu","raw_affiliation_strings":["Department of Electrical and Computer Engineering, University of Illinois, Chicago, Chicago, IL, USA","Bioengineering"],"affiliations":[{"raw_affiliation_string":"Department of Electrical and Computer Engineering, University of Illinois, Chicago, Chicago, IL, USA","institution_ids":["https://openalex.org/I39422238"]},{"raw_affiliation_string":"Bioengineering","institution_ids":["https://openalex.org/I4210145583"]}]}],"institutions":[],"countries_distinct_count":3,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5075227587"],"corresponding_institution_ids":["https://openalex.org/I9224756"],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":2,"citation_normalized_percentile":{"value":0.19359695,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":"2","issue":null,"first_page":"583","last_page":"586"},"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"}}],"keywords":[{"id":"https://openalex.org/keywords/rough-set","display_name":"Rough set","score":0.8498669266700745},{"id":"https://openalex.org/keywords/intersection","display_name":"Intersection (aeronautics)","score":0.7322619557380676},{"id":"https://openalex.org/keywords/complement","display_name":"Complement (music)","score":0.7274045348167419},{"id":"https://openalex.org/keywords/fuzzy-set","display_name":"Fuzzy set","score":0.6843618750572205},{"id":"https://openalex.org/keywords/fuzzy-logic","display_name":"Fuzzy logic","score":0.5585047602653503},{"id":"https://openalex.org/keywords/set","display_name":"Set (abstract data type)","score":0.5383495092391968},{"id":"https://openalex.org/keywords/set-operations","display_name":"Set operations","score":0.4990975856781006},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.48492103815078735},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.47415465116500854},{"id":"https://openalex.org/keywords/set-theory","display_name":"Set theory","score":0.43628403544425964},{"id":"https://openalex.org/keywords/algebra-over-a-field","display_name":"Algebra over a field","score":0.3747437596321106},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.3657988905906677},{"id":"https://openalex.org/keywords/theoretical-computer-science","display_name":"Theoretical computer science","score":0.3468242883682251},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.26237058639526367},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.19136810302734375},{"id":"https://openalex.org/keywords/engineering","display_name":"Engineering","score":0.10627490282058716}],"concepts":[{"id":"https://openalex.org/C111012933","wikidata":"https://www.wikidata.org/wiki/Q3137210","display_name":"Rough set","level":2,"score":0.8498669266700745},{"id":"https://openalex.org/C64543145","wikidata":"https://www.wikidata.org/wiki/Q162942","display_name":"Intersection (aeronautics)","level":2,"score":0.7322619557380676},{"id":"https://openalex.org/C112313634","wikidata":"https://www.wikidata.org/wiki/Q7886648","display_name":"Complement (music)","level":5,"score":0.7274045348167419},{"id":"https://openalex.org/C42011625","wikidata":"https://www.wikidata.org/wiki/Q1055058","display_name":"Fuzzy set","level":3,"score":0.6843618750572205},{"id":"https://openalex.org/C58166","wikidata":"https://www.wikidata.org/wiki/Q224821","display_name":"Fuzzy logic","level":2,"score":0.5585047602653503},{"id":"https://openalex.org/C177264268","wikidata":"https://www.wikidata.org/wiki/Q1514741","display_name":"Set (abstract data type)","level":2,"score":0.5383495092391968},{"id":"https://openalex.org/C2777168461","wikidata":"https://www.wikidata.org/wiki/Q42196253","display_name":"Set operations","level":3,"score":0.4990975856781006},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.48492103815078735},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.47415465116500854},{"id":"https://openalex.org/C153046414","wikidata":"https://www.wikidata.org/wiki/Q12482","display_name":"Set theory","level":3,"score":0.43628403544425964},{"id":"https://openalex.org/C136119220","wikidata":"https://www.wikidata.org/wiki/Q1000660","display_name":"Algebra over a field","level":2,"score":0.3747437596321106},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.3657988905906677},{"id":"https://openalex.org/C80444323","wikidata":"https://www.wikidata.org/wiki/Q2878974","display_name":"Theoretical computer science","level":1,"score":0.3468242883682251},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.26237058639526367},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.19136810302734375},{"id":"https://openalex.org/C127413603","wikidata":"https://www.wikidata.org/wiki/Q11023","display_name":"Engineering","level":0,"score":0.10627490282058716},{"id":"https://openalex.org/C127716648","wikidata":"https://www.wikidata.org/wiki/Q104053","display_name":"Phenotype","level":3,"score":0.0},{"id":"https://openalex.org/C188082640","wikidata":"https://www.wikidata.org/wiki/Q1780899","display_name":"Complementation","level":4,"score":0.0},{"id":"https://openalex.org/C55493867","wikidata":"https://www.wikidata.org/wiki/Q7094","display_name":"Biochemistry","level":1,"score":0.0},{"id":"https://openalex.org/C185592680","wikidata":"https://www.wikidata.org/wiki/Q2329","display_name":"Chemistry","level":0,"score":0.0},{"id":"https://openalex.org/C104317684","wikidata":"https://www.wikidata.org/wiki/Q7187","display_name":"Gene","level":2,"score":0.0},{"id":"https://openalex.org/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","level":1,"score":0.0},{"id":"https://openalex.org/C146978453","wikidata":"https://www.wikidata.org/wiki/Q3798668","display_name":"Aerospace engineering","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1109/fuzzy.2004.1375461","is_oa":false,"landing_page_url":"https://doi.org/10.1109/fuzzy.2004.1375461","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2004 IEEE International Conference on Fuzzy Systems (IEEE Cat. No.04CH37542)","raw_type":"proceedings-article"}],"best_oa_location":null,"sustainable_development_goals":[{"id":"https://metadata.un.org/sdg/10","display_name":"Reduced inequalities","score":0.6499999761581421}],"awards":[],"funders":[{"id":"https://openalex.org/F4320321001","display_name":"National Natural Science Foundation of China","ror":"https://ror.org/01h0zpd94"}],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":11,"referenced_works":["https://openalex.org/W1557923305","https://openalex.org/W1964228588","https://openalex.org/W1970498753","https://openalex.org/W1973375121","https://openalex.org/W1996323836","https://openalex.org/W2002680690","https://openalex.org/W2097798423","https://openalex.org/W2131772950","https://openalex.org/W2159045374","https://openalex.org/W2340020088","https://openalex.org/W4255833381"],"related_works":["https://openalex.org/W2132243292","https://openalex.org/W2382975841","https://openalex.org/W2374636872","https://openalex.org/W2388326106","https://openalex.org/W2375932290","https://openalex.org/W2990978680","https://openalex.org/W2018750854","https://openalex.org/W2978519593","https://openalex.org/W2102746356","https://openalex.org/W4390066334"],"abstract_inverted_index":{"In":[0],"this":[1,31],"paper,":[2],"two":[3,15,70],"new":[4,40,83],"operators":[5],"are":[6,79],"introduced":[7],"for":[8],"the":[9,19,39,46,56,58,61,69,73,82],"rough":[10,20,47],"set":[11,21,48],"theory.":[12],"Using":[13],"them,":[14],"inequalities":[16],"well-known":[17],"in":[18,38,45,54],"theory":[22,49],"can":[23,50,64],"now":[24],"be":[25,36,51,65],"modified":[26],"to":[27],"become":[28],"equalities.":[29,71],"With":[30],"change,":[32],"no":[33],"information":[34],"may":[35],"lost":[37],"expressions.":[41],"Hence,":[42],"many":[43],"properties":[44,75],"improved":[52],"and":[53,60],"particular,":[55],"union,":[57],"intersection,":[59],"complement":[62],"operations":[63],"redefined":[66],"based":[67],"on":[68],"Finally,":[72],"roughness":[74],"of":[76],"fuzzy":[77],"sets":[78],"analyzed":[80],"using":[81],"operations.":[84]},"counts_by_year":[],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}
