{"id":"https://openalex.org/W2036577266","doi":"https://doi.org/10.1109/fskd.2012.6234132","title":"Concepts with negative-values and corresponding concept lattices","display_name":"Concepts with negative-values and corresponding concept lattices","publication_year":2012,"publication_date":"2012-05-01","ids":{"openalex":"https://openalex.org/W2036577266","doi":"https://doi.org/10.1109/fskd.2012.6234132","mag":"2036577266"},"language":"en","primary_location":{"id":"doi:10.1109/fskd.2012.6234132","is_oa":false,"landing_page_url":"https://doi.org/10.1109/fskd.2012.6234132","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2012 9th International Conference on Fuzzy Systems and Knowledge Discovery","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/A5019686897","display_name":"Yuxia Lei","orcid":"https://orcid.org/0000-0001-6200-8997"},"institutions":[{"id":"https://openalex.org/I202126657","display_name":"Qufu Normal University","ror":"https://ror.org/03ceheh96","country_code":"CN","type":"education","lineage":["https://openalex.org/I202126657"]}],"countries":["CN"],"is_corresponding":true,"raw_author_name":"Yuxia Lei","raw_affiliation_strings":["School of Computer Secience, Qufu Normal University, Rizhao, China","School of Computer Secience, Qufu Normal University, Rizhao, China 276826"],"affiliations":[{"raw_affiliation_string":"School of Computer Secience, Qufu Normal University, Rizhao, China","institution_ids":["https://openalex.org/I202126657"]},{"raw_affiliation_string":"School of Computer Secience, Qufu Normal University, Rizhao, China 276826","institution_ids":["https://openalex.org/I202126657"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5071062523","display_name":"Jingying Tian","orcid":null},"institutions":[{"id":"https://openalex.org/I4210097707","display_name":"People\u2019s Hospital of Rizhao","ror":"https://ror.org/00w7jwe49","country_code":"CN","type":"healthcare","lineage":["https://openalex.org/I4210097707"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Jingying Tian","raw_affiliation_strings":["School of Architectual Engineering, Rizhao Politechnic, Rizhao, China","School of Architectual Engineering, Rizhao Politechnic, China 276826"],"affiliations":[{"raw_affiliation_string":"School of Architectual Engineering, Rizhao Politechnic, Rizhao, China","institution_ids":["https://openalex.org/I4210097707"]},{"raw_affiliation_string":"School of Architectual Engineering, Rizhao Politechnic, China 276826","institution_ids":[]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5019686897"],"corresponding_institution_ids":["https://openalex.org/I202126657"],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":1,"citation_normalized_percentile":{"value":0.10945422,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":94},"biblio":{"volume":"7","issue":null,"first_page":"1005","last_page":"1008"},"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/T10824","display_name":"Image Retrieval and Classification Techniques","score":0.9132999777793884,"subfield":{"id":"https://openalex.org/subfields/1707","display_name":"Computer Vision and Pattern Recognition"},"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/T13734","display_name":"Advanced Computational Techniques and Applications","score":0.9120000004768372,"subfield":{"id":"https://openalex.org/subfields/1702","display_name":"Artificial Intelligence"},"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/negation","display_name":"Negation","score":0.7987291216850281},{"id":"https://openalex.org/keywords/formal-concept-analysis","display_name":"Formal concept analysis","score":0.7947351932525635},{"id":"https://openalex.org/keywords/infimum-and-supremum","display_name":"Infimum and supremum","score":0.665895938873291},{"id":"https://openalex.org/keywords/lattice-miner","display_name":"Lattice Miner","score":0.6600028872489929},{"id":"https://openalex.org/keywords/binary-relation","display_name":"Binary relation","score":0.5748674869537354},{"id":"https://openalex.org/keywords/binary-number","display_name":"Binary number","score":0.5028614401817322},{"id":"https://openalex.org/keywords/lattice","display_name":"Lattice (music)","score":0.49679329991340637},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.4840516448020935},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.46806278824806213},{"id":"https://openalex.org/keywords/embedding","display_name":"Embedding","score":0.41329261660575867},{"id":"https://openalex.org/keywords/theoretical-computer-science","display_name":"Theoretical computer science","score":0.4058738946914673},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.2920817732810974},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.2787284255027771},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.26222366094589233},{"id":"https://openalex.org/keywords/arithmetic","display_name":"Arithmetic","score":0.1582299768924713},{"id":"https://openalex.org/keywords/programming-language","display_name":"Programming language","score":0.07382968068122864}],"concepts":[{"id":"https://openalex.org/C2185349","wikidata":"https://www.wikidata.org/wiki/Q190558","display_name":"Negation","level":2,"score":0.7987291216850281},{"id":"https://openalex.org/C76363472","wikidata":"https://www.wikidata.org/wiki/Q1437394","display_name":"Formal concept analysis","level":2,"score":0.7947351932525635},{"id":"https://openalex.org/C95611797","wikidata":"https://www.wikidata.org/wiki/Q17502105","display_name":"Infimum and supremum","level":2,"score":0.665895938873291},{"id":"https://openalex.org/C203136989","wikidata":"https://www.wikidata.org/wiki/Q6497099","display_name":"Lattice Miner","level":3,"score":0.6600028872489929},{"id":"https://openalex.org/C65180967","wikidata":"https://www.wikidata.org/wiki/Q130901","display_name":"Binary relation","level":2,"score":0.5748674869537354},{"id":"https://openalex.org/C48372109","wikidata":"https://www.wikidata.org/wiki/Q3913","display_name":"Binary number","level":2,"score":0.5028614401817322},{"id":"https://openalex.org/C2781204021","wikidata":"https://www.wikidata.org/wiki/Q6497091","display_name":"Lattice (music)","level":2,"score":0.49679329991340637},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.4840516448020935},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.46806278824806213},{"id":"https://openalex.org/C41608201","wikidata":"https://www.wikidata.org/wiki/Q980509","display_name":"Embedding","level":2,"score":0.41329261660575867},{"id":"https://openalex.org/C80444323","wikidata":"https://www.wikidata.org/wiki/Q2878974","display_name":"Theoretical computer science","level":1,"score":0.4058738946914673},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.2920817732810974},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.2787284255027771},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.26222366094589233},{"id":"https://openalex.org/C94375191","wikidata":"https://www.wikidata.org/wiki/Q11205","display_name":"Arithmetic","level":1,"score":0.1582299768924713},{"id":"https://openalex.org/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","level":1,"score":0.07382968068122864},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.0},{"id":"https://openalex.org/C24890656","wikidata":"https://www.wikidata.org/wiki/Q82811","display_name":"Acoustics","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1109/fskd.2012.6234132","is_oa":false,"landing_page_url":"https://doi.org/10.1109/fskd.2012.6234132","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2012 9th International Conference on Fuzzy Systems and Knowledge Discovery","raw_type":"proceedings-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[{"id":"https://openalex.org/F4320321001","display_name":"National Natural Science Foundation of China","ror":"https://ror.org/01h0zpd94"},{"id":"https://openalex.org/F4320324174","display_name":"Natural Science Foundation of Shandong Province","ror":null}],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":16,"referenced_works":["https://openalex.org/W1484605290","https://openalex.org/W1502065482","https://openalex.org/W1503729935","https://openalex.org/W1506065037","https://openalex.org/W1811575263","https://openalex.org/W1967208370","https://openalex.org/W2099200309","https://openalex.org/W2112445088","https://openalex.org/W2138634244","https://openalex.org/W2165364734","https://openalex.org/W2499411820","https://openalex.org/W3149980393","https://openalex.org/W4255318870","https://openalex.org/W4299165923","https://openalex.org/W6628869730","https://openalex.org/W6629849912"],"related_works":["https://openalex.org/W2376429569","https://openalex.org/W2045868466","https://openalex.org/W4296672482","https://openalex.org/W2750356991","https://openalex.org/W1545860673","https://openalex.org/W2495844640","https://openalex.org/W2801539085","https://openalex.org/W2891818416","https://openalex.org/W2103222807","https://openalex.org/W2156582682"],"abstract_inverted_index":{"Formal":[0],"Concept":[1],"Analysis":[2],"(FCA)":[3],"provides":[4],"a":[5,120,141],"special":[6],"method":[7],"for":[8],"extracting":[9],"concepts":[10,100],"from":[11,133,145],"binary":[12,121],"relations.":[13],"A":[14],"concept":[15,22,42,111,115],"consists":[16,44],"of":[17,36,40,45,55,70,84,119],"the":[18,21,25,29,32,38,49,63,68,77,82,95,98,110,114],"extent":[19],"(objects":[20],"covers)":[23],"and":[24,47,87,106,113,123,137],"intent":[26,39],"(attributes":[27],"describing":[28],"concept).":[30],"From":[31],"propositional":[33],"logical":[34],"point":[35],"view,":[37],"each":[41],"only":[43],"attributes,":[46],"hence":[48,88],"classical":[50,64,96],"FCA-concepts":[51,65],"cannot":[52],"describe":[53],"negations":[54],"attributes.":[56],"Therefore,":[57],"it":[58],"is":[59,128,140],"necessary":[60],"to":[61,66,135,147],"extend":[62],"improve":[67],"expressiveness":[69],"concepts.":[71,92],"In":[72],"this":[73],"paper,":[74],"we":[75,124],"take":[76],"negation":[78],"into":[79],"consideration":[80],"in":[81],"process":[83],"constructing":[85],"concepts,":[86],"obtain":[89],"new":[90],"extended":[91,99],"Compared":[93],"with":[94,117],"FCA-concepts,":[97],"are":[101],"more":[102],"expressive.":[103],"Let":[104],"\u2112(R)":[105,134],"\u2112\u00ac(R)":[107,146],"represent":[108],"respectively":[109],"lattice":[112,116],"negative-values":[118],"relation,":[122],"prove":[125],"that":[126],"there":[127,139],"an":[129],"infimum-preserving":[130],"order-embedding":[131],"map":[132,144],"\u2112\u00ac(R),":[136],"conversely,":[138],"supremum-preserving":[142],"order-preserving":[143],"\u2112(R).":[148]},"counts_by_year":[{"year":2016,"cited_by_count":1}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}
