{"id":"https://openalex.org/W2164562810","doi":"https://doi.org/10.1109/fuzzy.2004.1375698","title":"An algebraic characterisation of fuzzy rough sets","display_name":"An algebraic characterisation of fuzzy rough sets","publication_year":2005,"publication_date":"2005-02-22","ids":{"openalex":"https://openalex.org/W2164562810","doi":"https://doi.org/10.1109/fuzzy.2004.1375698","mag":"2164562810"},"language":"en","primary_location":{"id":"doi:10.1109/fuzzy.2004.1375698","is_oa":false,"landing_page_url":"https://doi.org/10.1109/fuzzy.2004.1375698","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/A5013291803","display_name":"Anna Maria Radzikowska","orcid":"https://orcid.org/0000-0001-7435-4512"},"institutions":[{"id":"https://openalex.org/I99542240","display_name":"Polish Academy of Sciences","ror":"https://ror.org/01dr6c206","country_code":"PL","type":"funder","lineage":["https://openalex.org/I99542240"]},{"id":"https://openalex.org/I66083562","display_name":"Systems Research Institute","ror":"https://ror.org/0111cp837","country_code":"PL","type":"facility","lineage":["https://openalex.org/I66083562","https://openalex.org/I99542240"]}],"countries":["PL"],"is_corresponding":true,"raw_author_name":"A.M. Radzikowska","raw_affiliation_strings":["System Research Institute, Polish Academy of Sciences, Warsaw, Poland"],"affiliations":[{"raw_affiliation_string":"System Research Institute, Polish Academy of Sciences, Warsaw, Poland","institution_ids":["https://openalex.org/I66083562","https://openalex.org/I99542240"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5108633741","display_name":"E.E. Kerre","orcid":null},"institutions":[{"id":"https://openalex.org/I32597200","display_name":"Ghent University","ror":"https://ror.org/00cv9y106","country_code":"BE","type":"education","lineage":["https://openalex.org/I32597200"]}],"countries":["BE"],"is_corresponding":false,"raw_author_name":"E.E. Kerre","raw_affiliation_strings":["Department of Applied Mathematics and Computer Science, Ghent University, Ghent, Belgium"],"affiliations":[{"raw_affiliation_string":"Department of Applied Mathematics and Computer Science, Ghent University, Ghent, Belgium","institution_ids":["https://openalex.org/I32597200"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5013291803"],"corresponding_institution_ids":["https://openalex.org/I66083562","https://openalex.org/I99542240"],"apc_list":null,"apc_paid":null,"fwci":1.4054,"has_fulltext":false,"cited_by_count":12,"citation_normalized_percentile":{"value":0.82281212,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":94},"biblio":{"volume":"1","issue":null,"first_page":"109","last_page":"114"},"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":0.9848999977111816,"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/T11106","display_name":"Data Management and Algorithms","score":0.9050999879837036,"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/residuated-lattice","display_name":"Residuated lattice","score":0.801865816116333},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.6667072176933289},{"id":"https://openalex.org/keywords/fuzzy-logic","display_name":"Fuzzy logic","score":0.612221360206604},{"id":"https://openalex.org/keywords/rough-set","display_name":"Rough set","score":0.605420708656311},{"id":"https://openalex.org/keywords/algebraic-structure","display_name":"Algebraic structure","score":0.5541085600852966},{"id":"https://openalex.org/keywords/algebraic-number","display_name":"Algebraic number","score":0.5244367718696594},{"id":"https://openalex.org/keywords/fuzzy-set","display_name":"Fuzzy set","score":0.5140446424484253},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.45693033933639526},{"id":"https://openalex.org/keywords/algebra-over-a-field","display_name":"Algebra over a field","score":0.4397865831851959},{"id":"https://openalex.org/keywords/binary-number","display_name":"Binary number","score":0.4153834879398346},{"id":"https://openalex.org/keywords/algebraic-properties","display_name":"Algebraic properties","score":0.4111475944519043},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.3533473610877991},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.22081118822097778},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.19854342937469482},{"id":"https://openalex.org/keywords/arithmetic","display_name":"Arithmetic","score":0.08292171359062195},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.04804447293281555}],"concepts":[{"id":"https://openalex.org/C2781278839","wikidata":"https://www.wikidata.org/wiki/Q9462417","display_name":"Residuated lattice","level":3,"score":0.801865816116333},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.6667072176933289},{"id":"https://openalex.org/C58166","wikidata":"https://www.wikidata.org/wiki/Q224821","display_name":"Fuzzy logic","level":2,"score":0.612221360206604},{"id":"https://openalex.org/C111012933","wikidata":"https://www.wikidata.org/wiki/Q3137210","display_name":"Rough set","level":2,"score":0.605420708656311},{"id":"https://openalex.org/C182419690","wikidata":"https://www.wikidata.org/wiki/Q205464","display_name":"Algebraic structure","level":2,"score":0.5541085600852966},{"id":"https://openalex.org/C9376300","wikidata":"https://www.wikidata.org/wiki/Q168817","display_name":"Algebraic number","level":2,"score":0.5244367718696594},{"id":"https://openalex.org/C42011625","wikidata":"https://www.wikidata.org/wiki/Q1055058","display_name":"Fuzzy set","level":3,"score":0.5140446424484253},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.45693033933639526},{"id":"https://openalex.org/C136119220","wikidata":"https://www.wikidata.org/wiki/Q1000660","display_name":"Algebra over a field","level":2,"score":0.4397865831851959},{"id":"https://openalex.org/C48372109","wikidata":"https://www.wikidata.org/wiki/Q3913","display_name":"Binary number","level":2,"score":0.4153834879398346},{"id":"https://openalex.org/C2989065042","wikidata":"https://www.wikidata.org/wiki/Q7378971","display_name":"Algebraic properties","level":2,"score":0.4111475944519043},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.3533473610877991},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.22081118822097778},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.19854342937469482},{"id":"https://openalex.org/C94375191","wikidata":"https://www.wikidata.org/wiki/Q11205","display_name":"Arithmetic","level":1,"score":0.08292171359062195},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.04804447293281555}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1109/fuzzy.2004.1375698","is_oa":false,"landing_page_url":"https://doi.org/10.1109/fuzzy.2004.1375698","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":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":34,"referenced_works":["https://openalex.org/W276045325","https://openalex.org/W1484754041","https://openalex.org/W1485625483","https://openalex.org/W1503142213","https://openalex.org/W1514758454","https://openalex.org/W1557923305","https://openalex.org/W1584679449","https://openalex.org/W1586066135","https://openalex.org/W1935122958","https://openalex.org/W1976239553","https://openalex.org/W1983382657","https://openalex.org/W2002680690","https://openalex.org/W2027654459","https://openalex.org/W2047865342","https://openalex.org/W2054416947","https://openalex.org/W2057500258","https://openalex.org/W2057821078","https://openalex.org/W2103565147","https://openalex.org/W2110182592","https://openalex.org/W2340020088","https://openalex.org/W2344717046","https://openalex.org/W2512033653","https://openalex.org/W2578739130","https://openalex.org/W2587962973","https://openalex.org/W2912565176","https://openalex.org/W4211007335","https://openalex.org/W4213427446","https://openalex.org/W4239148225","https://openalex.org/W4242309855","https://openalex.org/W4255833381","https://openalex.org/W6675830730","https://openalex.org/W6704599257","https://openalex.org/W6726131723","https://openalex.org/W7010102426"],"related_works":["https://openalex.org/W2978519593","https://openalex.org/W2102746356","https://openalex.org/W4390066334","https://openalex.org/W2096751418","https://openalex.org/W2083028880","https://openalex.org/W2085980859","https://openalex.org/W2966036268","https://openalex.org/W2267462342","https://openalex.org/W2087540826","https://openalex.org/W2048857687"],"abstract_inverted_index":{"We":[0,11],"present":[1],"an":[2,13],"algebraic":[3,21],"approach":[4],"to":[5],"fuzzy":[6,47],"generalisation":[7],"of":[8,45,53,60],"rough":[9,25,55],"sets.":[10],"take":[12],"arbitrary":[14],"residuated":[15,39],"lattice":[16,40],"L":[17],"as":[18],"a":[19],"basic":[20],"structure.":[22],"The":[23],"L-fuzzy":[24,54],"sets":[26,56],"are":[27],"defined":[28],"using":[29],"the":[30,38],"product":[31],"operator":[32],"and":[33,57],"its":[34],"residuum":[35],"provided":[36],"by":[37],"L.":[41],"Depending":[42],"on":[43],"classes":[44,52],"binary":[46],"relations,":[48],"we":[49],"define":[50],"several":[51],"show":[58],"properties":[59],"these":[61],"structures.":[62]},"counts_by_year":[{"year":2020,"cited_by_count":1},{"year":2018,"cited_by_count":1},{"year":2017,"cited_by_count":1},{"year":2014,"cited_by_count":1},{"year":2013,"cited_by_count":1}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}