{"id":"https://openalex.org/W1968470406","doi":"https://doi.org/10.1007/s10472-010-9185-y","title":"Optimal decompositions of matrices with grades into binary and graded matrices","display_name":"Optimal decompositions of matrices with grades into binary and graded matrices","publication_year":2010,"publication_date":"2010-05-12","ids":{"openalex":"https://openalex.org/W1968470406","doi":"https://doi.org/10.1007/s10472-010-9185-y","mag":"1968470406"},"language":"en","primary_location":{"id":"doi:10.1007/s10472-010-9185-y","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s10472-010-9185-y","pdf_url":null,"source":{"id":"https://openalex.org/S90199469","display_name":"Annals of Mathematics and Artificial Intelligence","issn_l":"1012-2443","issn":["1012-2443","1573-7470"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319900","host_organization_name":"Springer Science+Business Media","host_organization_lineage":["https://openalex.org/P4310319900","https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Science+Business Media","Springer Nature"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Annals of Mathematics and Artificial Intelligence","raw_type":"journal-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/A5027925658","display_name":"Eduard Bartl","orcid":"https://orcid.org/0000-0002-1273-0268"},"institutions":[{"id":"https://openalex.org/I70703428","display_name":"Palack\u00fd University Olomouc","ror":"https://ror.org/04qxnmv42","country_code":"CZ","type":"education","lineage":["https://openalex.org/I70703428"]}],"countries":["CZ"],"is_corresponding":true,"raw_author_name":"Eduard Bartl","raw_affiliation_strings":["Department of Computer Science, Palacky University, Olomouc 17. listopadu 12, 771 46, Olomouc, Czech Republic","Department of Computer Science, Palacky University, Olomouc, Czech Republic 771 46#TAB#"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Computer Science, Palacky University, Olomouc 17. listopadu 12, 771 46, Olomouc, Czech Republic","institution_ids":["https://openalex.org/I70703428"]},{"raw_affiliation_string":"Department of Computer Science, Palacky University, Olomouc, Czech Republic 771 46#TAB#","institution_ids":["https://openalex.org/I70703428"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5004391892","display_name":"Radim B\u011blohl\u00e1vek","orcid":"https://orcid.org/0000-0003-4924-3233"},"institutions":[{"id":"https://openalex.org/I70703428","display_name":"Palack\u00fd University Olomouc","ror":"https://ror.org/04qxnmv42","country_code":"CZ","type":"education","lineage":["https://openalex.org/I70703428"]}],"countries":["CZ"],"is_corresponding":false,"raw_author_name":"Radim Belohlavek","raw_affiliation_strings":["Department of Computer Science, Palacky University, Olomouc 17. listopadu 12, 771 46, Olomouc, Czech Republic","Department of Computer Science, Palacky University, Olomouc, Czech Republic 771 46#TAB#"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Computer Science, Palacky University, Olomouc 17. listopadu 12, 771 46, Olomouc, Czech Republic","institution_ids":["https://openalex.org/I70703428"]},{"raw_affiliation_string":"Department of Computer Science, Palacky University, Olomouc, Czech Republic 771 46#TAB#","institution_ids":["https://openalex.org/I70703428"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5053090188","display_name":"Jan Kone\u010dn\u00fd","orcid":"https://orcid.org/0000-0003-3934-5690"},"institutions":[{"id":"https://openalex.org/I70703428","display_name":"Palack\u00fd University Olomouc","ror":"https://ror.org/04qxnmv42","country_code":"CZ","type":"education","lineage":["https://openalex.org/I70703428"]}],"countries":["CZ"],"is_corresponding":false,"raw_author_name":"Jan Konecny","raw_affiliation_strings":["Department of Computer Science, Palacky University, Olomouc 17. listopadu 12, 771 46, Olomouc, Czech Republic","Department of Computer Science, Palacky University, Olomouc, Czech Republic 771 46#TAB#"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Computer Science, Palacky University, Olomouc 17. listopadu 12, 771 46, Olomouc, Czech Republic","institution_ids":["https://openalex.org/I70703428"]},{"raw_affiliation_string":"Department of Computer Science, Palacky University, Olomouc, Czech Republic 771 46#TAB#","institution_ids":["https://openalex.org/I70703428"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5027925658"],"corresponding_institution_ids":["https://openalex.org/I70703428"],"apc_list":{"value":2990,"currency":"USD","value_usd":2990},"apc_paid":null,"fwci":0.6361,"has_fulltext":false,"cited_by_count":9,"citation_normalized_percentile":{"value":0.68211111,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":96},"biblio":{"volume":"59","issue":"2","first_page":"151","last_page":"167"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11063","display_name":"Rough Sets and Fuzzy Logic","score":0.9998000264167786,"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":0.9998000264167786,"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":0.9990000128746033,"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/T10050","display_name":"Multi-Criteria Decision Making","score":0.9988999962806702,"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/matrix","display_name":"Matrix (chemical analysis)","score":0.6659924983978271},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.6136391162872314},{"id":"https://openalex.org/keywords/binary-number","display_name":"Binary number","score":0.6082020998001099},{"id":"https://openalex.org/keywords/decomposition","display_name":"Decomposition","score":0.566710889339447},{"id":"https://openalex.org/keywords/heuristic","display_name":"Heuristic","score":0.5278092622756958},{"id":"https://openalex.org/keywords/logical-matrix","display_name":"Logical matrix","score":0.5015482902526855},{"id":"https://openalex.org/keywords/matrix-decomposition","display_name":"Matrix decomposition","score":0.47706663608551025},{"id":"https://openalex.org/keywords/bounded-function","display_name":"Bounded function","score":0.4604279696941376},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.4524456858634949},{"id":"https://openalex.org/keywords/unit-interval","display_name":"Unit interval","score":0.41999268531799316},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.41821861267089844},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.3736461400985718},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.2783656120300293},{"id":"https://openalex.org/keywords/group","display_name":"Group (periodic table)","score":0.12130597233772278},{"id":"https://openalex.org/keywords/arithmetic","display_name":"Arithmetic","score":0.0816231369972229},{"id":"https://openalex.org/keywords/eigenvalues-and-eigenvectors","display_name":"Eigenvalues and eigenvectors","score":0.07866662740707397}],"concepts":[{"id":"https://openalex.org/C106487976","wikidata":"https://www.wikidata.org/wiki/Q685816","display_name":"Matrix (chemical analysis)","level":2,"score":0.6659924983978271},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.6136391162872314},{"id":"https://openalex.org/C48372109","wikidata":"https://www.wikidata.org/wiki/Q3913","display_name":"Binary number","level":2,"score":0.6082020998001099},{"id":"https://openalex.org/C124681953","wikidata":"https://www.wikidata.org/wiki/Q339062","display_name":"Decomposition","level":2,"score":0.566710889339447},{"id":"https://openalex.org/C173801870","wikidata":"https://www.wikidata.org/wiki/Q201413","display_name":"Heuristic","level":2,"score":0.5278092622756958},{"id":"https://openalex.org/C163561899","wikidata":"https://www.wikidata.org/wiki/Q1994977","display_name":"Logical matrix","level":3,"score":0.5015482902526855},{"id":"https://openalex.org/C42355184","wikidata":"https://www.wikidata.org/wiki/Q1361088","display_name":"Matrix decomposition","level":3,"score":0.47706663608551025},{"id":"https://openalex.org/C34388435","wikidata":"https://www.wikidata.org/wiki/Q2267362","display_name":"Bounded function","level":2,"score":0.4604279696941376},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.4524456858634949},{"id":"https://openalex.org/C128394911","wikidata":"https://www.wikidata.org/wiki/Q1987578","display_name":"Unit interval","level":2,"score":0.41999268531799316},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.41821861267089844},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.3736461400985718},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.2783656120300293},{"id":"https://openalex.org/C2781311116","wikidata":"https://www.wikidata.org/wiki/Q83306","display_name":"Group (periodic table)","level":2,"score":0.12130597233772278},{"id":"https://openalex.org/C94375191","wikidata":"https://www.wikidata.org/wiki/Q11205","display_name":"Arithmetic","level":1,"score":0.0816231369972229},{"id":"https://openalex.org/C158693339","wikidata":"https://www.wikidata.org/wiki/Q190524","display_name":"Eigenvalues and eigenvectors","level":2,"score":0.07866662740707397},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.0},{"id":"https://openalex.org/C18903297","wikidata":"https://www.wikidata.org/wiki/Q7150","display_name":"Ecology","level":1,"score":0.0},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.0},{"id":"https://openalex.org/C178790620","wikidata":"https://www.wikidata.org/wiki/Q11351","display_name":"Organic chemistry","level":1,"score":0.0},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.0},{"id":"https://openalex.org/C86803240","wikidata":"https://www.wikidata.org/wiki/Q420","display_name":"Biology","level":0,"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/C159985019","wikidata":"https://www.wikidata.org/wiki/Q181790","display_name":"Composite material","level":1,"score":0.0},{"id":"https://openalex.org/C192562407","wikidata":"https://www.wikidata.org/wiki/Q228736","display_name":"Materials science","level":0,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1007/s10472-010-9185-y","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s10472-010-9185-y","pdf_url":null,"source":{"id":"https://openalex.org/S90199469","display_name":"Annals of Mathematics and Artificial Intelligence","issn_l":"1012-2443","issn":["1012-2443","1573-7470"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319900","host_organization_name":"Springer Science+Business Media","host_organization_lineage":["https://openalex.org/P4310319900","https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Science+Business Media","Springer Nature"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Annals of Mathematics and Artificial Intelligence","raw_type":"journal-article"},{"id":"pmh:oai:CiteSeerX.psu:10.1.1.218.6129","is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.218.6129","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"http://sunsite.informatik.rwth-aachen.de/Publications/CEUR-WS/Vol-433/paper5.pdf","raw_type":"text"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":39,"referenced_works":["https://openalex.org/W26772505","https://openalex.org/W73629738","https://openalex.org/W368475356","https://openalex.org/W1503729935","https://openalex.org/W1553406086","https://openalex.org/W1555789138","https://openalex.org/W1851672339","https://openalex.org/W1898259180","https://openalex.org/W1965548823","https://openalex.org/W2026235741","https://openalex.org/W2047524435","https://openalex.org/W2060542838","https://openalex.org/W2071200009","https://openalex.org/W2076928277","https://openalex.org/W2102476898","https://openalex.org/W2107801860","https://openalex.org/W2110182592","https://openalex.org/W2118888578","https://openalex.org/W2123642387","https://openalex.org/W2127519479","https://openalex.org/W2127822841","https://openalex.org/W2154274300","https://openalex.org/W2160342152","https://openalex.org/W2171705898","https://openalex.org/W2335487254","https://openalex.org/W2396903734","https://openalex.org/W2496338429","https://openalex.org/W2506954980","https://openalex.org/W2611804663","https://openalex.org/W2752573522","https://openalex.org/W2797588280","https://openalex.org/W3145128584","https://openalex.org/W4206790557","https://openalex.org/W4234423219","https://openalex.org/W4244528936","https://openalex.org/W4255318870","https://openalex.org/W4285719527","https://openalex.org/W4300550233","https://openalex.org/W4300621871"],"related_works":["https://openalex.org/W2065940536","https://openalex.org/W2201180357","https://openalex.org/W2399942618","https://openalex.org/W2117617797","https://openalex.org/W1984625316","https://openalex.org/W3022251574","https://openalex.org/W2308860807","https://openalex.org/W2058826280","https://openalex.org/W1523927339","https://openalex.org/W2612306311"],"abstract_inverted_index":null,"counts_by_year":[{"year":2022,"cited_by_count":1},{"year":2020,"cited_by_count":1},{"year":2019,"cited_by_count":2},{"year":2014,"cited_by_count":2},{"year":2013,"cited_by_count":1}],"updated_date":"2026-07-23T08:03:31.855105","created_date":"2025-10-10T00:00:00"}
