{"id":"https://openalex.org/W2395987493","doi":null,"title":"An ILP model for a monotone graded classification problem","display_name":"An ILP model for a monotone graded classification problem","publication_year":2004,"publication_date":"2004-01-01","ids":{"openalex":"https://openalex.org/W2395987493","mag":"2395987493"},"language":"en","primary_location":{"id":"pmh:oai:oai.dml.cz:10338.dmlcz/135598","doi":null,"is_oa":true,"landing_page_url":"http://hdl.handle.net/10338.dmlcz/135598","pdf_url":"http://hdl.handle.net/10338.dmlcz/135598","source":{"id":"https://openalex.org/S4406922294","display_name":"Czech digital mathematics library","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"type:math"},"volume":null,"type":"other","is_traditional":false,"indexed_in":[],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"http://hdl.handle.net/10338.dmlcz/135598","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5023733020","display_name":"Peter Vojt\u00e1\u0161","orcid":"https://orcid.org/0000-0002-3526-8475","observed_orcids":["https://orcid.org/0000-0002-3526-8475"]},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Peter Vojt\u00e1\u0161","raw_affiliation_strings":[],"raw_orcid":"https://orcid.org/0000-0002-3526-8475","affiliations":[]},{"author_position":"middle","author":{"id":"https://openalex.org/A5024333004","display_name":"Tom\u00e1\u0161 Horv\u00e1th","orcid":"https://orcid.org/0000-0002-9438-840X","observed_orcids":["https://orcid.org/0000-0002-9438-840X"]},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Tom\u00e1\u0161 Horv\u00e1th","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]},{"author_position":"middle","author":{"id":"https://openalex.org/A5068983535","display_name":"Stanislav Kraj\u010di","orcid":"https://orcid.org/0000-0001-5612-3534","observed_orcids":["https://orcid.org/0000-0001-5612-3534"]},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Stanislav Kraj\u010di","raw_affiliation_strings":[],"raw_orcid":"https://orcid.org/0000-0001-5612-3534","affiliations":[]},{"author_position":"last","author":{"id":"https://openalex.org/A5073038720","display_name":"Rastislav Lencses","orcid":null,"observed_orcids":[]},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Rastislav Lencses","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]}],"institutions":[],"countries_distinct_count":0,"institutions_distinct_count":0,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":null,"has_fulltext":true,"cited_by_count":12,"citation_normalized_percentile":null,"cited_by_percentile_year":null,"biblio":{"volume":"40","issue":"3","first_page":"317","last_page":"332"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11010","display_name":"Logic, Reasoning, and Knowledge","score":0.39719998836517334,"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"}},"topics":[{"id":"https://openalex.org/T11010","display_name":"Logic, Reasoning, and Knowledge","score":0.39719998836517334,"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"}},{"id":"https://openalex.org/T11727","display_name":"Advanced Algebra and Logic","score":0.3456999957561493,"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/T10820","display_name":"Fuzzy Logic and Control Systems","score":0.10360000282526016,"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/inductive-logic-programming","display_name":"inductive logic programming","score":0.8410000205039978},{"id":"https://openalex.org/keywords/alpha-cuts","display_name":"alpha-cuts","score":0.8339999914169312},{"id":"https://openalex.org/keywords/monotonicity-axiom","display_name":"monotonicity axiom","score":0.8820000290870667},{"id":"https://openalex.org/keywords/fixpoint-semantics","display_name":"fixpoint semantics","score":0.972000002861023},{"id":"https://openalex.org/keywords/golem","display_name":"Golem","score":0.6119999885559082},{"id":"https://openalex.org/keywords/aleph","display_name":"ALEPH","score":0.9570000171661377}],"concepts":[{"id":"https://openalex.org/C55439883","wikidata":"https://www.wikidata.org/wiki/Q360812","display_name":"Correctness","level":2,"score":0.5405702590942383},{"id":"https://openalex.org/C2779382394","wikidata":"https://www.wikidata.org/wiki/Q1464197","display_name":"Inductive logic programming","level":2,"score":0.5190449357032776},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.48469212651252747},{"id":"https://openalex.org/C58166","wikidata":"https://www.wikidata.org/wiki/Q224821","display_name":"Fuzzy logic","level":2,"score":0.48350217938423157},{"id":"https://openalex.org/C189790780","wikidata":"https://www.wikidata.org/wiki/Q933932","display_name":"Horn clause","level":3,"score":0.4347551465034485},{"id":"https://openalex.org/C167729594","wikidata":"https://www.wikidata.org/wiki/Q17736","display_name":"Axiom","level":2,"score":0.4316745102405548},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.42635542154312134},{"id":"https://openalex.org/C80444323","wikidata":"https://www.wikidata.org/wiki/Q2878974","display_name":"Theoretical computer science","level":1,"score":0.4051308333873749},{"id":"https://openalex.org/C128838566","wikidata":"https://www.wikidata.org/wiki/Q275603","display_name":"Logic programming","level":2,"score":0.36474400758743286},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.3560022711753845},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.3537510335445404},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.3049715459346771},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"pmh:oai:oai.dml.cz:10338.dmlcz/135598","doi":null,"is_oa":true,"landing_page_url":"http://hdl.handle.net/10338.dmlcz/135598","pdf_url":"http://hdl.handle.net/10338.dmlcz/135598","source":{"id":"https://openalex.org/S4406922294","display_name":"Czech digital mathematics library","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"type:math"},{"id":"mag:2395987493","doi":null,"is_oa":false,"landing_page_url":"https://dblp.uni-trier.de/db/journals/kybernetika/kybernetika40.html#VojtasHKL04","pdf_url":null,"source":{"id":"https://openalex.org/S158577884","display_name":"Kybernetika","issn_l":"0023-5954","issn":["0023-5954","1805-949X"],"is_oa":false,"is_in_doaj":false,"is_core":true,"listed_in":["anvur-scientific","cwts-core","dongbi-c","jufo-1","poland-40","russia-white-list-3"],"host_organization":"https://openalex.org/P4310314340","host_organization_name":"Institute of Information Theory and Automation of the Czech Academy of Sciences","host_organization_lineage":["https://openalex.org/P4310314340","https://openalex.org/P4310314171"],"host_organization_lineage_names":["Institute of Information Theory and Automation of the Czech Academy of Sciences","Czech Academy of Sciences"],"type":"journal"},"license":null,"license_id":null,"version":null,"is_accepted":false,"is_published":false,"raw_source_name":"Kybernetika","raw_type":null}],"best_oa_location":{"id":"pmh:oai:oai.dml.cz:10338.dmlcz/135598","doi":null,"is_oa":true,"landing_page_url":"http://hdl.handle.net/10338.dmlcz/135598","pdf_url":"http://hdl.handle.net/10338.dmlcz/135598","source":{"id":"https://openalex.org/S4406922294","display_name":"Czech digital mathematics library","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"type:math"},"sustainable_development_goals":[],"study_designs":[],"awards":[],"funders":[{"id":"https://openalex.org/F4320323641","display_name":"Vedeck\u00e1 Grantov\u00e1 Agent\u00fara M\u0160VVa\u0160 SR a SAV","ror":"https://ror.org/044gwpv05"}],"has_content":{"grobid_xml":true,"pdf":true},"content_urls":{"pdf":"https://content.openalex.org/works/W2395987493.pdf","grobid_xml":"https://content.openalex.org/works/W2395987493.grobid-xml"},"referenced_works_count":9,"referenced_works":["https://openalex.org/W1562552215","https://openalex.org/W1576064560","https://openalex.org/W1791364091","https://openalex.org/W1822879401","https://openalex.org/W1874244695","https://openalex.org/W1999138184","https://openalex.org/W2084254022","https://openalex.org/W2119831128","https://openalex.org/W2126185296"],"related_works":["https://openalex.org/W1580950863","https://openalex.org/W1606605920","https://openalex.org/W1562552215","https://openalex.org/W1524496209","https://openalex.org/W2149404336","https://openalex.org/W36835009","https://openalex.org/W2144972831","https://openalex.org/W1971922025","https://openalex.org/W1543903875","https://openalex.org/W2148168127"],"abstract_inverted_index":{"summary:Motivation":[0],"for":[1,138],"this":[2],"paper":[3],"are":[4],"classification":[5],"problems":[6],"in":[7,22,50,56,101],"which":[8,23,104],"data":[9,21],"can":[10],"not":[11],"be":[12],"clearly":[13],"divided":[14],"into":[15],"positive":[16,35],"and":[17,72,135,142,149,165],"negative":[18],"examples,":[19],"especially":[20],"there":[24],"is":[25,61,82,105,120,130],"a":[26,40,44,64,73,111],"monotone":[27],"hierarchy":[28],"(degree,":[29],"preference)":[30],"of":[31,43,53,67,76,87,95,116,125,145,158],"more":[32],"or":[33],"less":[34],"(negative)":[36],"examples.":[37,153],"We":[38,140,154],"present":[39,141],"new":[41],"formulation":[42],"fuzzy":[45,54,68,96,133],"inductive":[46],"logic":[47,55,69,167],"programming":[48],"task":[49],"the":[51,123],"framework":[52],"narrow":[57],"sense.":[58],"Our":[59],"construction":[60],"based":[62,121,131],"on":[63,92,122,132,151,156],"syntactical":[65],"equivalence":[66],"programs":[70],"FLP":[71],"restricted":[74],"class":[75],"generalised":[77],"annotated":[78,113],"programs.":[79,168],"The":[80,127],"induction":[81,91],"achieved":[83],"via":[84],"multiple":[85],"use":[86],"classical":[88],"two":[89],"valued":[90],"$\\alpha":[93],"$-cuts":[94],"examples":[97],"with":[98],"monotonicity":[99],"axioms":[100],"background":[102],"knowledge,":[103],"afterwards":[106],"again":[107],"glued":[108],"together":[109],"to":[110,161],"single":[112],"hypothesis.":[114],"Correctness":[115],"our":[117,159],"method":[118],"(translation)":[119],"correctness":[124],"FLP.":[126,139],"cover":[128],"relation":[129],"Datalog":[134],"fixpoint":[136],"semantics":[137],"discuss":[143],"results":[144,160],"ILP":[146],"systems":[147],"GOLEM":[148],"ALEPH":[150],"illustrative":[152],"comment":[155],"relations":[157],"some":[162],"statistical":[163],"models":[164],"Bayesian":[166]},"counts_by_year":[],"updated_date":"2026-11-06T12:05:46.655746","created_date":"2016-06-24T00:00:00"}
