{"id":"https://openalex.org/W2055705408","doi":"https://doi.org/10.1007/s11075-014-9888-y","title":"On the unbounded parametric tolerable solution set","display_name":"On the unbounded parametric tolerable solution set","publication_year":2014,"publication_date":"2014-07-04","ids":{"openalex":"https://openalex.org/W2055705408","doi":"https://doi.org/10.1007/s11075-014-9888-y","mag":"2055705408"},"language":"en","primary_location":{"id":"doi:10.1007/s11075-014-9888-y","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s11075-014-9888-y","pdf_url":null,"source":{"id":"https://openalex.org/S117494069","display_name":"Numerical Algorithms","issn_l":"1017-1398","issn":["1017-1398","1572-9265"],"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":"Numerical Algorithms","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/A5009837998","display_name":"Evgenija D. Popova","orcid":"https://orcid.org/0000-0003-4772-1940"},"institutions":[{"id":"https://openalex.org/I24768866","display_name":"Bulgarian Academy of Sciences","ror":"https://ror.org/01x8hew03","country_code":"BG","type":"government","lineage":["https://openalex.org/I24768866"]},{"id":"https://openalex.org/I4210105926","display_name":"Institute of Mathematics and Informatics","ror":"https://ror.org/01b5dy719","country_code":"BG","type":"facility","lineage":["https://openalex.org/I24768866","https://openalex.org/I4210105926"]}],"countries":["BG"],"is_corresponding":true,"raw_author_name":"Evgenija D. Popova","raw_affiliation_strings":["Institute of Mathematics and Informatics, Bulgarian Academy of Sciences, Acad. G. Bonchev str. block 8, 1113, Sofia, Bulgaria","Institute of Mathematics and Informatics Bulgarian Academy of Sciences,Sofia,Bulgaria,1113"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Institute of Mathematics and Informatics, Bulgarian Academy of Sciences, Acad. G. Bonchev str. block 8, 1113, Sofia, Bulgaria","institution_ids":["https://openalex.org/I24768866"]},{"raw_affiliation_string":"Institute of Mathematics and Informatics Bulgarian Academy of Sciences,Sofia,Bulgaria,1113","institution_ids":["https://openalex.org/I24768866","https://openalex.org/I4210105926"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5009837998"],"corresponding_institution_ids":["https://openalex.org/I24768866","https://openalex.org/I4210105926"],"apc_list":{"value":2990,"currency":"USD","value_usd":2990},"apc_paid":null,"fwci":0.4623,"has_fulltext":false,"cited_by_count":2,"citation_normalized_percentile":{"value":0.63334924,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":94},"biblio":{"volume":"69","issue":"1","first_page":"169","last_page":"182"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10963","display_name":"Advanced Optimization Algorithms Research","score":0.9986000061035156,"subfield":{"id":"https://openalex.org/subfields/2612","display_name":"Numerical Analysis"},"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/T10963","display_name":"Advanced Optimization Algorithms Research","score":0.9986000061035156,"subfield":{"id":"https://openalex.org/subfields/2612","display_name":"Numerical Analysis"},"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/T11435","display_name":"Polynomial and algebraic computation","score":0.9976999759674072,"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/T10792","display_name":"Matrix Theory and Algorithms","score":0.9973999857902527,"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/polyhedron","display_name":"Polyhedron","score":0.7926647663116455},{"id":"https://openalex.org/keywords/parametric-statistics","display_name":"Parametric statistics","score":0.7548719644546509},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.737494707107544},{"id":"https://openalex.org/keywords/solution-set","display_name":"Solution set","score":0.6902602314949036},{"id":"https://openalex.org/keywords/bounded-function","display_name":"Bounded function","score":0.5751317739486694},{"id":"https://openalex.org/keywords/dual-polyhedron","display_name":"Dual polyhedron","score":0.5630849599838257},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.5477955341339111},{"id":"https://openalex.org/keywords/regular-polygon","display_name":"Regular polygon","score":0.523862361907959},{"id":"https://openalex.org/keywords/theory-of-computation","display_name":"Theory of computation","score":0.49950528144836426},{"id":"https://openalex.org/keywords/set","display_name":"Set (abstract data type)","score":0.4844353497028351},{"id":"https://openalex.org/keywords/convex-set","display_name":"Convex set","score":0.44198721647262573},{"id":"https://openalex.org/keywords/algebraic-number","display_name":"Algebraic number","score":0.4310901463031769},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.3631954789161682},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.3287646770477295},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.2558775246143341},{"id":"https://openalex.org/keywords/convex-optimization","display_name":"Convex optimization","score":0.24332553148269653},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.15359914302825928},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.11468204855918884},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.08836320042610168}],"concepts":[{"id":"https://openalex.org/C54829058","wikidata":"https://www.wikidata.org/wiki/Q172937","display_name":"Polyhedron","level":2,"score":0.7926647663116455},{"id":"https://openalex.org/C117251300","wikidata":"https://www.wikidata.org/wiki/Q1849855","display_name":"Parametric statistics","level":2,"score":0.7548719644546509},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.737494707107544},{"id":"https://openalex.org/C60033838","wikidata":"https://www.wikidata.org/wiki/Q1751685","display_name":"Solution set","level":3,"score":0.6902602314949036},{"id":"https://openalex.org/C34388435","wikidata":"https://www.wikidata.org/wiki/Q2267362","display_name":"Bounded function","level":2,"score":0.5751317739486694},{"id":"https://openalex.org/C105313907","wikidata":"https://www.wikidata.org/wiki/Q1053857","display_name":"Dual polyhedron","level":2,"score":0.5630849599838257},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.5477955341339111},{"id":"https://openalex.org/C112680207","wikidata":"https://www.wikidata.org/wiki/Q714886","display_name":"Regular polygon","level":2,"score":0.523862361907959},{"id":"https://openalex.org/C24858836","wikidata":"https://www.wikidata.org/wiki/Q844718","display_name":"Theory of computation","level":2,"score":0.49950528144836426},{"id":"https://openalex.org/C177264268","wikidata":"https://www.wikidata.org/wiki/Q1514741","display_name":"Set (abstract data type)","level":2,"score":0.4844353497028351},{"id":"https://openalex.org/C49870271","wikidata":"https://www.wikidata.org/wiki/Q193657","display_name":"Convex set","level":4,"score":0.44198721647262573},{"id":"https://openalex.org/C9376300","wikidata":"https://www.wikidata.org/wiki/Q168817","display_name":"Algebraic number","level":2,"score":0.4310901463031769},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.3631954789161682},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.3287646770477295},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.2558775246143341},{"id":"https://openalex.org/C157972887","wikidata":"https://www.wikidata.org/wiki/Q463359","display_name":"Convex optimization","level":3,"score":0.24332553148269653},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.15359914302825928},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.11468204855918884},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.08836320042610168},{"id":"https://openalex.org/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","level":1,"score":0.0},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1007/s11075-014-9888-y","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s11075-014-9888-y","pdf_url":null,"source":{"id":"https://openalex.org/S117494069","display_name":"Numerical Algorithms","issn_l":"1017-1398","issn":["1017-1398","1572-9265"],"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":"Numerical Algorithms","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[{"score":0.5400000214576721,"display_name":"Climate action","id":"https://metadata.un.org/sdg/13"}],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":19,"referenced_works":["https://openalex.org/W101462505","https://openalex.org/W151502846","https://openalex.org/W596756717","https://openalex.org/W1494579565","https://openalex.org/W1511444605","https://openalex.org/W1768025896","https://openalex.org/W1981745143","https://openalex.org/W1998815901","https://openalex.org/W2008257536","https://openalex.org/W2010999914","https://openalex.org/W2019507626","https://openalex.org/W2020784316","https://openalex.org/W2060927075","https://openalex.org/W2078464451","https://openalex.org/W2092248073","https://openalex.org/W2183291940","https://openalex.org/W2798909945","https://openalex.org/W4285719527","https://openalex.org/W6750968397"],"related_works":["https://openalex.org/W2008231869","https://openalex.org/W2090263210","https://openalex.org/W2949692952","https://openalex.org/W2197678707","https://openalex.org/W1995855104","https://openalex.org/W2900515541","https://openalex.org/W2090864852","https://openalex.org/W2254121517","https://openalex.org/W2067082491","https://openalex.org/W1979597944"],"abstract_inverted_index":null,"counts_by_year":[{"year":2020,"cited_by_count":1},{"year":2016,"cited_by_count":1}],"updated_date":"2026-07-29T09:40:50.615796","created_date":"2025-10-10T00:00:00"}