{"id":"https://openalex.org/W4290738890","doi":"https://doi.org/10.1007/s44196-022-00123-3","title":"Minimal Generators from Positive and Negative Attributes: Analysing the Knowledge Space of a Mathematics Course","display_name":"Minimal Generators from Positive and Negative Attributes: Analysing the Knowledge Space of a Mathematics Course","publication_year":2022,"publication_date":"2022-08-09","ids":{"openalex":"https://openalex.org/W4290738890","doi":"https://doi.org/10.1007/s44196-022-00123-3"},"language":"en","primary_location":{"id":"doi:10.1007/s44196-022-00123-3","is_oa":true,"landing_page_url":"https://doi.org/10.1007/s44196-022-00123-3","pdf_url":"https://link.springer.com/content/pdf/10.1007/s44196-022-00123-3.pdf","source":{"id":"https://openalex.org/S190680769","display_name":"International Journal of Computational Intelligence Systems","issn_l":"1875-6883","issn":["1875-6883","1875-6891"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310319965","host_organization_name":"Springer Nature","host_organization_lineage":["https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Nature"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"International Journal of Computational Intelligence Systems","raw_type":"journal-article"},"type":"article","indexed_in":["crossref","doaj"],"open_access":{"is_oa":true,"oa_status":"gold","oa_url":"https://link.springer.com/content/pdf/10.1007/s44196-022-00123-3.pdf","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5052716554","display_name":"Manuel Ojeda-Hern\u00e1ndez","orcid":"https://orcid.org/0000-0003-4785-6802"},"institutions":[{"id":"https://openalex.org/I82767444","display_name":"Universidad de M\u00e1laga","ror":"https://ror.org/036b2ww28","country_code":"ES","type":"education","lineage":["https://openalex.org/I82767444"]}],"countries":["ES"],"is_corresponding":true,"raw_author_name":"Manuel Ojeda-Hern\u00e1ndez","raw_affiliation_strings":["Matem\u00e1tica Aplicada, Universidad de M\u00e1laga, Av. Cervantes, 29071, Malaga, M\u00e1laga, Spain"],"affiliations":[{"raw_affiliation_string":"Matem\u00e1tica Aplicada, Universidad de M\u00e1laga, Av. Cervantes, 29071, Malaga, M\u00e1laga, Spain","institution_ids":["https://openalex.org/I82767444"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5084337567","display_name":"Francisco P\u00e9rez-G\u00e1mez","orcid":"https://orcid.org/0000-0001-7518-1828"},"institutions":[{"id":"https://openalex.org/I82767444","display_name":"Universidad de M\u00e1laga","ror":"https://ror.org/036b2ww28","country_code":"ES","type":"education","lineage":["https://openalex.org/I82767444"]}],"countries":["ES"],"is_corresponding":false,"raw_author_name":"Francisco P\u00e9rez-G\u00e1mez","raw_affiliation_strings":["Matem\u00e1tica Aplicada, Universidad de M\u00e1laga, Av. Cervantes, 29071, Malaga, M\u00e1laga, Spain"],"affiliations":[{"raw_affiliation_string":"Matem\u00e1tica Aplicada, Universidad de M\u00e1laga, Av. Cervantes, 29071, Malaga, M\u00e1laga, Spain","institution_ids":["https://openalex.org/I82767444"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5077461448","display_name":"Domingo L\u00f3pez-Rodr\u00edguez","orcid":"https://orcid.org/0000-0002-0172-1585"},"institutions":[{"id":"https://openalex.org/I82767444","display_name":"Universidad de M\u00e1laga","ror":"https://ror.org/036b2ww28","country_code":"ES","type":"education","lineage":["https://openalex.org/I82767444"]}],"countries":["ES"],"is_corresponding":false,"raw_author_name":"Domingo L\u00f3pez-Rodr\u00edguez","raw_affiliation_strings":["Matem\u00e1tica Aplicada, Universidad de M\u00e1laga, Av. Cervantes, 29071, Malaga, M\u00e1laga, Spain"],"affiliations":[{"raw_affiliation_string":"Matem\u00e1tica Aplicada, Universidad de M\u00e1laga, Av. Cervantes, 29071, Malaga, M\u00e1laga, Spain","institution_ids":["https://openalex.org/I82767444"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5086719246","display_name":"Nicol\u00e1s Madrid","orcid":"https://orcid.org/0000-0001-8111-1017"},"institutions":[{"id":"https://openalex.org/I82767444","display_name":"Universidad de M\u00e1laga","ror":"https://ror.org/036b2ww28","country_code":"ES","type":"education","lineage":["https://openalex.org/I82767444"]}],"countries":["ES"],"is_corresponding":false,"raw_author_name":"Nicol\u00e1s Madrid","raw_affiliation_strings":["Matem\u00e1tica Aplicada, Universidad de M\u00e1laga, Av. Cervantes, 29071, Malaga, M\u00e1laga, Spain"],"affiliations":[{"raw_affiliation_string":"Matem\u00e1tica Aplicada, Universidad de M\u00e1laga, Av. Cervantes, 29071, Malaga, M\u00e1laga, Spain","institution_ids":["https://openalex.org/I82767444"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5044022589","display_name":"\u00c1ngel Mora","orcid":"https://orcid.org/0000-0003-4548-8030"},"institutions":[{"id":"https://openalex.org/I82767444","display_name":"Universidad de M\u00e1laga","ror":"https://ror.org/036b2ww28","country_code":"ES","type":"education","lineage":["https://openalex.org/I82767444"]}],"countries":["ES"],"is_corresponding":false,"raw_author_name":"\u00c1ngel Mora","raw_affiliation_strings":["Matem\u00e1tica Aplicada, Universidad de M\u00e1laga, Av. Cervantes, 29071, Malaga, M\u00e1laga, Spain"],"affiliations":[{"raw_affiliation_string":"Matem\u00e1tica Aplicada, Universidad de M\u00e1laga, Av. Cervantes, 29071, Malaga, M\u00e1laga, Spain","institution_ids":["https://openalex.org/I82767444"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":5,"corresponding_author_ids":["https://openalex.org/A5052716554"],"corresponding_institution_ids":["https://openalex.org/I82767444"],"apc_list":{"value":1390,"currency":"GBP","value_usd":1704},"apc_paid":{"value":1390,"currency":"GBP","value_usd":1704},"fwci":0.3006,"has_fulltext":true,"cited_by_count":2,"citation_normalized_percentile":{"value":0.59309765,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":95,"max":96},"biblio":{"volume":"15","issue":"1","first_page":null,"last_page":null},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11063","display_name":"Rough Sets and Fuzzy Logic","score":0.9994999766349792,"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":0.9994999766349792,"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/T10538","display_name":"Data Mining Algorithms and Applications","score":0.9775999784469604,"subfield":{"id":"https://openalex.org/subfields/1710","display_name":"Information Systems"},"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":0.9715999960899353,"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/granularity","display_name":"Granularity","score":0.7099496722221375},{"id":"https://openalex.org/keywords/formal-concept-analysis","display_name":"Formal concept analysis","score":0.648399829864502},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.5824096202850342},{"id":"https://openalex.org/keywords/point","display_name":"Point (geometry)","score":0.5300148725509644},{"id":"https://openalex.org/keywords/space","display_name":"Space (punctuation)","score":0.4671117067337036},{"id":"https://openalex.org/keywords/knowledge-space","display_name":"Knowledge space","score":0.46705853939056396},{"id":"https://openalex.org/keywords/course","display_name":"Course (navigation)","score":0.45029470324516296},{"id":"https://openalex.org/keywords/lattice","display_name":"Lattice (music)","score":0.4196242690086365},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.40752220153808594},{"id":"https://openalex.org/keywords/theoretical-computer-science","display_name":"Theoretical computer science","score":0.3985632658004761},{"id":"https://openalex.org/keywords/data-mining","display_name":"Data mining","score":0.35580945014953613},{"id":"https://openalex.org/keywords/knowledge-management","display_name":"Knowledge management","score":0.25592344999313354},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.22355365753173828}],"concepts":[{"id":"https://openalex.org/C177774035","wikidata":"https://www.wikidata.org/wiki/Q1246948","display_name":"Granularity","level":2,"score":0.7099496722221375},{"id":"https://openalex.org/C76363472","wikidata":"https://www.wikidata.org/wiki/Q1437394","display_name":"Formal concept analysis","level":2,"score":0.648399829864502},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.5824096202850342},{"id":"https://openalex.org/C28719098","wikidata":"https://www.wikidata.org/wiki/Q44946","display_name":"Point (geometry)","level":2,"score":0.5300148725509644},{"id":"https://openalex.org/C2778572836","wikidata":"https://www.wikidata.org/wiki/Q380933","display_name":"Space (punctuation)","level":2,"score":0.4671117067337036},{"id":"https://openalex.org/C2777348039","wikidata":"https://www.wikidata.org/wiki/Q6423397","display_name":"Knowledge space","level":2,"score":0.46705853939056396},{"id":"https://openalex.org/C2777552389","wikidata":"https://www.wikidata.org/wiki/Q1962728","display_name":"Course (navigation)","level":2,"score":0.45029470324516296},{"id":"https://openalex.org/C2781204021","wikidata":"https://www.wikidata.org/wiki/Q6497091","display_name":"Lattice (music)","level":2,"score":0.4196242690086365},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.40752220153808594},{"id":"https://openalex.org/C80444323","wikidata":"https://www.wikidata.org/wiki/Q2878974","display_name":"Theoretical computer science","level":1,"score":0.3985632658004761},{"id":"https://openalex.org/C124101348","wikidata":"https://www.wikidata.org/wiki/Q172491","display_name":"Data mining","level":1,"score":0.35580945014953613},{"id":"https://openalex.org/C56739046","wikidata":"https://www.wikidata.org/wiki/Q192060","display_name":"Knowledge management","level":1,"score":0.25592344999313354},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.22355365753173828},{"id":"https://openalex.org/C24890656","wikidata":"https://www.wikidata.org/wiki/Q82811","display_name":"Acoustics","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/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.0},{"id":"https://openalex.org/C111919701","wikidata":"https://www.wikidata.org/wiki/Q9135","display_name":"Operating system","level":1,"score":0.0},{"id":"https://openalex.org/C1276947","wikidata":"https://www.wikidata.org/wiki/Q333","display_name":"Astronomy","level":1,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1007/s44196-022-00123-3","is_oa":true,"landing_page_url":"https://doi.org/10.1007/s44196-022-00123-3","pdf_url":"https://link.springer.com/content/pdf/10.1007/s44196-022-00123-3.pdf","source":{"id":"https://openalex.org/S190680769","display_name":"International Journal of Computational Intelligence Systems","issn_l":"1875-6883","issn":["1875-6883","1875-6891"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310319965","host_organization_name":"Springer Nature","host_organization_lineage":["https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Nature"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"International Journal of Computational Intelligence Systems","raw_type":"journal-article"},{"id":"pmh:oai:doaj.org/article:74ca0c13e54e4a13ad0c58faf50cc87a","is_oa":true,"landing_page_url":"https://doaj.org/article/74ca0c13e54e4a13ad0c58faf50cc87a","pdf_url":null,"source":{"id":"https://openalex.org/S112646816","display_name":"SHILAP Revista de lepidopterolog\u00eda","issn_l":"0300-5267","issn":["0300-5267","2340-4078"],"is_oa":true,"is_in_doaj":true,"is_core":false,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"International Journal of Computational Intelligence Systems, Vol 15, Iss 1, Pp 1-16 (2022)","raw_type":"article"}],"best_oa_location":{"id":"doi:10.1007/s44196-022-00123-3","is_oa":true,"landing_page_url":"https://doi.org/10.1007/s44196-022-00123-3","pdf_url":"https://link.springer.com/content/pdf/10.1007/s44196-022-00123-3.pdf","source":{"id":"https://openalex.org/S190680769","display_name":"International Journal of Computational Intelligence Systems","issn_l":"1875-6883","issn":["1875-6883","1875-6891"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310319965","host_organization_name":"Springer Nature","host_organization_lineage":["https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Nature"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"International Journal of Computational Intelligence Systems","raw_type":"journal-article"},"sustainable_development_goals":[{"id":"https://metadata.un.org/sdg/4","display_name":"Quality Education","score":0.7900000214576721}],"awards":[{"id":"https://openalex.org/G2520361050","display_name":null,"funder_award_id":"PRE2018-085199","funder_id":"https://openalex.org/F4320315062","funder_display_name":"Ministerio de Ciencia, Innovaci\u00f3n y Universidades"},{"id":"https://openalex.org/G2934256340","display_name":null,"funder_award_id":"UMA2018-FEDERJA-001","funder_id":"https://openalex.org/F4320321562","funder_display_name":"Consejer\u00eda de Econom\u00eda, Innovaci\u00f3n, Ciencia y Empleo, Junta de Andaluc\u00eda"},{"id":"https://openalex.org/G3722519122","display_name":null,"funder_award_id":"FPU19","funder_id":"https://openalex.org/F4320315062","funder_display_name":"Ministerio de Ciencia, Innovaci\u00f3n y Universidades"},{"id":"https://openalex.org/G6062493128","display_name":null,"funder_award_id":"FPU19/01467","funder_id":"https://openalex.org/F4320315062","funder_display_name":"Ministerio de Ciencia, Innovaci\u00f3n y Universidades"},{"id":"https://openalex.org/G6063137639","display_name":null,"funder_award_id":"FEDER","funder_id":"https://openalex.org/F4320315062","funder_display_name":"Ministerio de Ciencia, Innovaci\u00f3n y Universidades"},{"id":"https://openalex.org/G668807561","display_name":null,"funder_award_id":"UMA2018-FEDERJA-001","funder_id":"https://openalex.org/F4320311265","funder_display_name":"Universidad de M\u00e1laga"},{"id":"https://openalex.org/G7314793896","display_name":null,"funder_award_id":"UMA2018-FEDERJA-001","funder_id":"https://openalex.org/F4320326754","funder_display_name":"Junta de Andaluc\u00eda"},{"id":"https://openalex.org/G7656512089","display_name":null,"funder_award_id":"TIN2017-89023-P","funder_id":"https://openalex.org/F4320315062","funder_display_name":"Ministerio de Ciencia, Innovaci\u00f3n y Universidades"},{"id":"https://openalex.org/G8063416118","display_name":null,"funder_award_id":"PGC2018","funder_id":"https://openalex.org/F4320315062","funder_display_name":"Ministerio de Ciencia, Innovaci\u00f3n y Universidades"},{"id":"https://openalex.org/G8769400193","display_name":null,"funder_award_id":"PGC2018-095869-B-I00","funder_id":"https://openalex.org/F4320315062","funder_display_name":"Ministerio de Ciencia, Innovaci\u00f3n y Universidades"}],"funders":[{"id":"https://openalex.org/F4320311265","display_name":"Universidad de M\u00e1laga","ror":"https://ror.org/036b2ww28"},{"id":"https://openalex.org/F4320315062","display_name":"Ministerio de Ciencia, Innovaci\u00f3n y Universidades","ror":null},{"id":"https://openalex.org/F4320321562","display_name":"Consejer\u00eda de Econom\u00eda, Innovaci\u00f3n, Ciencia y Empleo, Junta de Andaluc\u00eda","ror":"https://ror.org/03kak1729"},{"id":"https://openalex.org/F4320326754","display_name":"Junta de Andaluc\u00eda","ror":"https://ror.org/01jem9c82"}],"has_content":{"pdf":true,"grobid_xml":true},"content_urls":{"pdf":"https://content.openalex.org/works/W4290738890.pdf","grobid_xml":"https://content.openalex.org/works/W4290738890.grobid-xml"},"referenced_works_count":22,"referenced_works":["https://openalex.org/W1498639019","https://openalex.org/W1502180139","https://openalex.org/W1503729935","https://openalex.org/W2050815550","https://openalex.org/W2088456744","https://openalex.org/W2093397547","https://openalex.org/W2093869191","https://openalex.org/W2133465610","https://openalex.org/W2730483724","https://openalex.org/W2793183907","https://openalex.org/W2889988224","https://openalex.org/W2911564247","https://openalex.org/W2970787375","https://openalex.org/W3005006660","https://openalex.org/W3009717982","https://openalex.org/W3029464237","https://openalex.org/W3047161823","https://openalex.org/W3137972280","https://openalex.org/W3157153721","https://openalex.org/W4234423219","https://openalex.org/W4242453617","https://openalex.org/W4244477654"],"related_works":["https://openalex.org/W4294552035","https://openalex.org/W2018012025","https://openalex.org/W3091852589","https://openalex.org/W2376429569","https://openalex.org/W2148871984","https://openalex.org/W2290185703","https://openalex.org/W2381248923","https://openalex.org/W2053687308","https://openalex.org/W2794165897","https://openalex.org/W2279630705"],"abstract_inverted_index":{"Abstract":[0],"Formal":[1],"concept":[2,70],"analysis":[3,7],"is":[4,134],"a":[5,30,47,73,86,105,113],"data":[6],"framework":[8],"based":[9],"on":[10,39,104],"lattice":[11],"theory.":[12],"In":[13],"this":[14,21,53],"paper,":[15],"we":[16,55,108],"analyse":[17,109],"the":[18,40,57,60,66,78,90,96,110,118,122,126,138,141],"use,":[19],"inside":[20],"framework,":[22],"of":[23,29,42,50,65,76,112,121,140],"positive":[24,44],"and":[25,59,68,100,124],"negative":[26],"(mixed)":[27],"attributes":[28],"dataset,":[31],"which":[32],"has":[33],"proved":[34],"to":[35,84,95,116],"represent":[36],"more":[37],"information":[38,132],"use":[41,139],"just":[43],"attributes.":[45],"From":[46,72],"theoretical":[48,80],"point":[49,75],"view,":[51,77],"in":[52,89],"paper":[54],"show":[56],"structure":[58,120],"relationships":[61],"between":[62,98],"minimal":[63],"generators":[64],"simple":[67],"mixed":[69],"lattices.":[71],"practical":[74,106],"obtained":[79],"results":[81],"allow":[82],"us":[83],"ensure":[85],"greater":[87],"granularity":[88],"retrieved":[91],"information.":[92],"Furthermore,":[93],"due":[94],"relationship":[97],"FCA":[99],"Knowledge":[101],"Space":[102],"theory,":[103],"level,":[107],"marks":[111],"Mathematics":[114],"course":[115,123],"establish":[117],"knowledge":[119],"determine":[125],"key":[127],"items":[128],"providing":[129],"new":[130],"relevant":[131],"that":[133],"not":[135],"evident":[136],"without":[137],"proposed":[142],"tools.":[143]},"counts_by_year":[{"year":2025,"cited_by_count":2}],"updated_date":"2026-03-20T23:20:44.827607","created_date":"2025-10-10T00:00:00"}