{"id":"https://openalex.org/W2099695190","doi":"https://doi.org/10.1109/fuzzy.2006.1682026","title":"Rough Sets Approximations to Possibilistic Information","display_name":"Rough Sets Approximations to Possibilistic Information","publication_year":2006,"publication_date":"2006-01-01","ids":{"openalex":"https://openalex.org/W2099695190","doi":"https://doi.org/10.1109/fuzzy.2006.1682026","mag":"2099695190"},"language":"en","primary_location":{"id":"doi:10.1109/fuzzy.2006.1682026","is_oa":false,"landing_page_url":"https://doi.org/10.1109/fuzzy.2006.1682026","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2006 IEEE International Conference on Fuzzy Systems","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/A5101768061","display_name":"Maho Nakata","orcid":"https://orcid.org/0000-0002-5430-841X"},"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":true,"raw_author_name":"M. Nakata","raw_affiliation_strings":["Faculty of Management and Information Science, Josai International University, Togane, Chiba, Japan"],"affiliations":[{"raw_affiliation_string":"Faculty of Management and Information Science, Josai International University, Togane, Chiba, Japan","institution_ids":["https://openalex.org/I61575859"]}]},{"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":"H. Sakai","raw_affiliation_strings":["Department of Mathematics and Computer Aided Science, Kyushu Institute of Technology, Fukuoka, Japan"],"affiliations":[{"raw_affiliation_string":"Department of Mathematics and Computer Aided Science, Kyushu Institute of Technology, Fukuoka, Japan","institution_ids":["https://openalex.org/I207014233"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5101768061"],"corresponding_institution_ids":["https://openalex.org/I61575859"],"apc_list":null,"apc_paid":null,"fwci":0.981,"has_fulltext":false,"cited_by_count":3,"citation_normalized_percentile":{"value":0.76670073,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":"3641","issue":null,"first_page":"2343","last_page":"2350"},"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/T11106","display_name":"Data Management and Algorithms","score":0.9380000233650208,"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"}},{"id":"https://openalex.org/T10050","display_name":"Multi-Criteria Decision Making","score":0.9373000264167786,"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/equivalence","display_name":"Equivalence (formal languages)","score":0.7932711839675903},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.7292274236679077},{"id":"https://openalex.org/keywords/rough-set","display_name":"Rough set","score":0.6710963845252991},{"id":"https://openalex.org/keywords/approximations-of-\u03c0","display_name":"Approximations of \u03c0","score":0.5544836521148682},{"id":"https://openalex.org/keywords/approximation-theory","display_name":"Approximation theory","score":0.5309842228889465},{"id":"https://openalex.org/keywords/equivalence-class","display_name":"Equivalence class (music)","score":0.5265218019485474},{"id":"https://openalex.org/keywords/class","display_name":"Class (philosophy)","score":0.5058745741844177},{"id":"https://openalex.org/keywords/upper-and-lower-bounds","display_name":"Upper and lower bounds","score":0.4801180362701416},{"id":"https://openalex.org/keywords/approximation-algorithm","display_name":"Approximation algorithm","score":0.4651568531990051},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.4590117335319519},{"id":"https://openalex.org/keywords/equivalence-relation","display_name":"Equivalence relation","score":0.4540482461452484},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.42267730832099915},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.32532376050949097},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.1668073534965515},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.13962695002555847},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.1307770013809204}],"concepts":[{"id":"https://openalex.org/C2780069185","wikidata":"https://www.wikidata.org/wiki/Q7977945","display_name":"Equivalence (formal languages)","level":2,"score":0.7932711839675903},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.7292274236679077},{"id":"https://openalex.org/C111012933","wikidata":"https://www.wikidata.org/wiki/Q3137210","display_name":"Rough set","level":2,"score":0.6710963845252991},{"id":"https://openalex.org/C193386753","wikidata":"https://www.wikidata.org/wiki/Q1130396","display_name":"Approximations of \u03c0","level":2,"score":0.5544836521148682},{"id":"https://openalex.org/C145242015","wikidata":"https://www.wikidata.org/wiki/Q774123","display_name":"Approximation theory","level":2,"score":0.5309842228889465},{"id":"https://openalex.org/C2777044963","wikidata":"https://www.wikidata.org/wiki/Q5384707","display_name":"Equivalence class (music)","level":2,"score":0.5265218019485474},{"id":"https://openalex.org/C2777212361","wikidata":"https://www.wikidata.org/wiki/Q5127848","display_name":"Class (philosophy)","level":2,"score":0.5058745741844177},{"id":"https://openalex.org/C77553402","wikidata":"https://www.wikidata.org/wiki/Q13222579","display_name":"Upper and lower bounds","level":2,"score":0.4801180362701416},{"id":"https://openalex.org/C148764684","wikidata":"https://www.wikidata.org/wiki/Q621751","display_name":"Approximation algorithm","level":2,"score":0.4651568531990051},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.4590117335319519},{"id":"https://openalex.org/C156103551","wikidata":"https://www.wikidata.org/wiki/Q130998","display_name":"Equivalence relation","level":2,"score":0.4540482461452484},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.42267730832099915},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.32532376050949097},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.1668073534965515},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.13962695002555847},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.1307770013809204}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1109/fuzzy.2006.1682026","is_oa":false,"landing_page_url":"https://doi.org/10.1109/fuzzy.2006.1682026","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2006 IEEE International Conference on Fuzzy Systems","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":22,"referenced_works":["https://openalex.org/W175508730","https://openalex.org/W1522442466","https://openalex.org/W1549911309","https://openalex.org/W1557923305","https://openalex.org/W1559918745","https://openalex.org/W1564646625","https://openalex.org/W1570206053","https://openalex.org/W1598590805","https://openalex.org/W1598987824","https://openalex.org/W1974088341","https://openalex.org/W1990391007","https://openalex.org/W2087740657","https://openalex.org/W2095290023","https://openalex.org/W2101285186","https://openalex.org/W2103514965","https://openalex.org/W2122471290","https://openalex.org/W2139722852","https://openalex.org/W2153543850","https://openalex.org/W2163963159","https://openalex.org/W6632961854","https://openalex.org/W6633472634","https://openalex.org/W6635796194"],"related_works":["https://openalex.org/W2895616265","https://openalex.org/W2026098892","https://openalex.org/W2148887744","https://openalex.org/W2362545535","https://openalex.org/W4298221493","https://openalex.org/W2052027214","https://openalex.org/W2360352305","https://openalex.org/W2950873203","https://openalex.org/W1598356149","https://openalex.org/W2361941626"],"abstract_inverted_index":{"Rough":[0],"sets":[1],"are":[2],"applied":[3],"to":[4,29],"data":[5],"tables":[6],"containing":[7],"possibilistic":[8,27],"information.":[9],"A":[10],"family":[11,39],"of":[12,40,67,73],"weighted":[13,41,74],"equivalence":[14,21,42,75],"classes":[15,43,76],"is":[16,23,32,77],"obtained,":[17],"in":[18],"which":[19,30],"each":[20],"class":[22],"accompanied":[24],"by":[25],"a":[26,47],"degree":[28],"it":[31],"an":[33,51],"actual":[34],"one.":[35],"By":[36],"using":[37],"the":[38,58,71],"we":[44],"can":[45],"derive":[46],"lower":[48,55],"approximation":[49,56,60],"and":[50,57],"upper":[52,59],"approximation.":[53],"The":[54],"coincide":[61],"with":[62],"those":[63],"obtained":[64],"from":[65],"methods":[66],"possible":[68],"worlds.":[69],"Therefore,":[70],"method":[72],"justified.":[78]},"counts_by_year":[],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}