{"id":"https://openalex.org/W2019959372","doi":"https://doi.org/10.14736/kyb-2014-2-0216","title":"Calculations of graded ill-known sets","display_name":"Calculations of graded ill-known sets","publication_year":2014,"publication_date":"2014-05-22","ids":{"openalex":"https://openalex.org/W2019959372","doi":"https://doi.org/10.14736/kyb-2014-2-0216","mag":"2019959372"},"language":"en","primary_location":{"id":"doi:10.14736/kyb-2014-2-0216","is_oa":true,"landing_page_url":"https://doi.org/10.14736/kyb-2014-2-0216","pdf_url":"https://www.kybernetika.cz/content/2014/2/216/paper.pdf","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,"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":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Kybernetika","raw_type":"journal-article"},"type":"article","indexed_in":["crossref"],"open_access":{"is_oa":true,"oa_status":"bronze","oa_url":"https://www.kybernetika.cz/content/2014/2/216/paper.pdf","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5075050549","display_name":"Masahiro Inuiguchi","orcid":"https://orcid.org/0000-0001-9970-1621"},"institutions":[],"countries":[],"is_corresponding":true,"raw_author_name":"Masahiro Inuiguchi","raw_affiliation_strings":[],"affiliations":[]}],"institutions":[],"countries_distinct_count":0,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5075050549"],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":true,"cited_by_count":0,"citation_normalized_percentile":{"value":0.08938311,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":null,"issue":null,"first_page":"216","last_page":"233"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T12135","display_name":"Fuzzy Systems and Optimization","score":0.9916999936103821,"subfield":{"id":"https://openalex.org/subfields/2613","display_name":"Statistics and Probability"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},"topics":[{"id":"https://openalex.org/T12135","display_name":"Fuzzy Systems and Optimization","score":0.9916999936103821,"subfield":{"id":"https://openalex.org/subfields/2613","display_name":"Statistics and Probability"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T10050","display_name":"Multi-Criteria Decision Making","score":0.9857000112533569,"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"}},{"id":"https://openalex.org/T10545","display_name":"Optimization and Variational Analysis","score":0.9754999876022339,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.521672248840332},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.3617081642150879},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.3409116864204407},{"id":"https://openalex.org/keywords/algebra-over-a-field","display_name":"Algebra over a field","score":0.3296928405761719},{"id":"https://openalex.org/keywords/theoretical-computer-science","display_name":"Theoretical computer science","score":0.3217007517814636},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.13787785172462463}],"concepts":[{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.521672248840332},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.3617081642150879},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.3409116864204407},{"id":"https://openalex.org/C136119220","wikidata":"https://www.wikidata.org/wiki/Q1000660","display_name":"Algebra over a field","level":2,"score":0.3296928405761719},{"id":"https://openalex.org/C80444323","wikidata":"https://www.wikidata.org/wiki/Q2878974","display_name":"Theoretical computer science","level":1,"score":0.3217007517814636},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.13787785172462463}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.14736/kyb-2014-2-0216","is_oa":true,"landing_page_url":"https://doi.org/10.14736/kyb-2014-2-0216","pdf_url":"https://www.kybernetika.cz/content/2014/2/216/paper.pdf","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,"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":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Kybernetika","raw_type":"journal-article"},{"id":"pmh:oai:oai.dml.cz:10338.dmlcz/143790","is_oa":true,"landing_page_url":"http://hdl.handle.net/10338.dmlcz/143790","pdf_url":"http://dml.cz/bitstream/handle/10338.dmlcz/143790/Kybernetika_50-2014-2_4.pdf","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,"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":"text:not_categorized"}],"best_oa_location":{"id":"doi:10.14736/kyb-2014-2-0216","is_oa":true,"landing_page_url":"https://doi.org/10.14736/kyb-2014-2-0216","pdf_url":"https://www.kybernetika.cz/content/2014/2/216/paper.pdf","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,"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":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Kybernetika","raw_type":"journal-article"},"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":true,"grobid_xml":true},"content_urls":{"pdf":"https://content.openalex.org/works/W2019959372.pdf","grobid_xml":"https://content.openalex.org/works/W2019959372.grobid-xml"},"referenced_works_count":10,"referenced_works":["https://openalex.org/W654110765","https://openalex.org/W1559166296","https://openalex.org/W1985376092","https://openalex.org/W2033166200","https://openalex.org/W2036866989","https://openalex.org/W2055496191","https://openalex.org/W2115605620","https://openalex.org/W4230588984","https://openalex.org/W4254730433","https://openalex.org/W4296979607"],"related_works":["https://openalex.org/W2748952813","https://openalex.org/W4391375266","https://openalex.org/W1979597421","https://openalex.org/W2007980826","https://openalex.org/W2051487156","https://openalex.org/W2061531152","https://openalex.org/W3002753104","https://openalex.org/W2077600819","https://openalex.org/W2142036596","https://openalex.org/W2072657027"],"abstract_inverted_index":{"To":[0],"represent":[1],"a":[2,27,34,67,80],"set":[3,12,30,71],"whose":[4],"members":[5],"are":[6,50,72,97],"known":[7],"partially,":[8],"the":[9,38,41,53,60,75],"graded":[10,24,28,47,69,94,108],"ill-known":[11,25,29,48,70,95,109],"is":[13,31],"proposed.In":[14],"this":[15],"paper,":[16],"we":[17],"investigate":[18],"calculations":[19,42],"of":[20,23,43,46,66,77,90,93,102,107],"function":[21,44,91,100],"values":[22,45,92,101],"sets.Because":[26],"characterized":[32],"by":[33],"possibility":[35],"distribution":[36],"in":[37],"power":[39],"set,":[40],"sets":[49,96],"based":[51],"on":[52],"extension":[54],"principle":[55],"but":[56],"generally":[57],"complex.To":[58],"reduce":[59],"complexity,":[61],"lower":[62,86,103],"and":[63,82,87,104],"upper":[64,88,105],"approximations":[65,89,106],"given":[68],"used":[73],"at":[74],"expense":[76],"precision.We":[78],"give":[79],"necessary":[81],"sufficient":[83],"condition":[84],"that":[85],"obtained":[98],"as":[99],"sets.":[110]},"counts_by_year":[],"updated_date":"2026-04-04T16:13:02.066488","created_date":"2025-10-10T00:00:00"}