{"id":"https://openalex.org/W2396285167","doi":"https://doi.org/10.1007/978-3-319-31769-4_13","title":"Reserve of Characteristic Inclusion as Recognizing Functional for Interval Linear Systems","display_name":"Reserve of Characteristic Inclusion as Recognizing Functional for Interval Linear Systems","publication_year":2016,"publication_date":"2016-01-01","ids":{"openalex":"https://openalex.org/W2396285167","doi":"https://doi.org/10.1007/978-3-319-31769-4_13","mag":"2396285167"},"language":"en","primary_location":{"id":"doi:10.1007/978-3-319-31769-4_13","is_oa":true,"landing_page_url":"https://doi.org/10.1007/978-3-319-31769-4_13","pdf_url":null,"source":{"id":"https://openalex.org/S106296714","display_name":"Lecture notes in computer science","issn_l":"0302-9743","issn":["0302-9743","1611-3349"],"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":"book series"},"license":"cc-by-nc","license_id":"https://openalex.org/licenses/cc-by-nc","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Lecture Notes in Computer Science","raw_type":"book-chapter"},"type":"book-chapter","indexed_in":["crossref"],"open_access":{"is_oa":true,"oa_status":"hybrid","oa_url":"https://doi.org/10.1007/978-3-319-31769-4_13","any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5039513713","display_name":"Irene A. Sharaya","orcid":"https://orcid.org/0000-0002-2442-4591"},"institutions":[{"id":"https://openalex.org/I4210137651","display_name":"Institute of Computational Technologies","ror":"https://ror.org/02x3mf211","country_code":"RU","type":"facility","lineage":["https://openalex.org/I1313323035","https://openalex.org/I4210097085","https://openalex.org/I4210137651"]}],"countries":["RU"],"is_corresponding":true,"raw_author_name":"Irene A. Sharaya","raw_affiliation_strings":["Institute of Computational Technologies, 6, Lavrentiev ave., Novosibirsk, Russia"],"affiliations":[{"raw_affiliation_string":"Institute of Computational Technologies, 6, Lavrentiev ave., Novosibirsk, Russia","institution_ids":["https://openalex.org/I4210137651"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5016421913","display_name":"Sergey P. Shary","orcid":"https://orcid.org/0000-0002-9454-7626"},"institutions":[{"id":"https://openalex.org/I4210137651","display_name":"Institute of Computational Technologies","ror":"https://ror.org/02x3mf211","country_code":"RU","type":"facility","lineage":["https://openalex.org/I1313323035","https://openalex.org/I4210097085","https://openalex.org/I4210137651"]}],"countries":["RU"],"is_corresponding":false,"raw_author_name":"Sergey P. Shary","raw_affiliation_strings":["Institute of Computational Technologies, 6, Lavrentiev ave., Novosibirsk, Russia"],"affiliations":[{"raw_affiliation_string":"Institute of Computational Technologies, 6, Lavrentiev ave., Novosibirsk, Russia","institution_ids":["https://openalex.org/I4210137651"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5039513713"],"corresponding_institution_ids":["https://openalex.org/I4210137651"],"apc_list":{"value":5000,"currency":"EUR","value_usd":5392},"apc_paid":{"value":5000,"currency":"EUR","value_usd":5392},"fwci":0.0,"has_fulltext":false,"cited_by_count":1,"citation_normalized_percentile":{"value":0.03048361,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":94},"biblio":{"volume":null,"issue":null,"first_page":"148","last_page":"167"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11697","display_name":"Numerical Methods and Algorithms","score":0.9984999895095825,"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/T11697","display_name":"Numerical Methods and Algorithms","score":0.9984999895095825,"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/T11236","display_name":"Control Systems and Identification","score":0.9972000122070312,"subfield":{"id":"https://openalex.org/subfields/2207","display_name":"Control and Systems Engineering"},"field":{"id":"https://openalex.org/fields/22","display_name":"Engineering"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T10791","display_name":"Advanced Control Systems Optimization","score":0.9750999808311462,"subfield":{"id":"https://openalex.org/subfields/2207","display_name":"Control and Systems Engineering"},"field":{"id":"https://openalex.org/fields/22","display_name":"Engineering"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.7590309381484985},{"id":"https://openalex.org/keywords/interval","display_name":"Interval (graph theory)","score":0.6298809051513672},{"id":"https://openalex.org/keywords/inclusion","display_name":"Inclusion (mineral)","score":0.5139052867889404},{"id":"https://openalex.org/keywords/interval-arithmetic","display_name":"Interval arithmetic","score":0.41338303685188293},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.3750568926334381},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.33379796147346497},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.17329668998718262},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.06143057346343994},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.05161011219024658}],"concepts":[{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.7590309381484985},{"id":"https://openalex.org/C2778067643","wikidata":"https://www.wikidata.org/wiki/Q166507","display_name":"Interval (graph theory)","level":2,"score":0.6298809051513672},{"id":"https://openalex.org/C109359841","wikidata":"https://www.wikidata.org/wiki/Q728944","display_name":"Inclusion (mineral)","level":2,"score":0.5139052867889404},{"id":"https://openalex.org/C191252586","wikidata":"https://www.wikidata.org/wiki/Q1671453","display_name":"Interval arithmetic","level":3,"score":0.41338303685188293},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.3750568926334381},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.33379796147346497},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.17329668998718262},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.06143057346343994},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.05161011219024658},{"id":"https://openalex.org/C107993555","wikidata":"https://www.wikidata.org/wiki/Q1662673","display_name":"Gender studies","level":1,"score":0.0},{"id":"https://openalex.org/C144024400","wikidata":"https://www.wikidata.org/wiki/Q21201","display_name":"Sociology","level":0,"score":0.0},{"id":"https://openalex.org/C34388435","wikidata":"https://www.wikidata.org/wiki/Q2267362","display_name":"Bounded function","level":2,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1007/978-3-319-31769-4_13","is_oa":true,"landing_page_url":"https://doi.org/10.1007/978-3-319-31769-4_13","pdf_url":null,"source":{"id":"https://openalex.org/S106296714","display_name":"Lecture notes in computer science","issn_l":"0302-9743","issn":["0302-9743","1611-3349"],"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":"book series"},"license":"cc-by-nc","license_id":"https://openalex.org/licenses/cc-by-nc","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Lecture Notes in Computer Science","raw_type":"book-chapter"}],"best_oa_location":{"id":"doi:10.1007/978-3-319-31769-4_13","is_oa":true,"landing_page_url":"https://doi.org/10.1007/978-3-319-31769-4_13","pdf_url":null,"source":{"id":"https://openalex.org/S106296714","display_name":"Lecture notes in computer science","issn_l":"0302-9743","issn":["0302-9743","1611-3349"],"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":"book series"},"license":"cc-by-nc","license_id":"https://openalex.org/licenses/cc-by-nc","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Lecture Notes in Computer Science","raw_type":"book-chapter"},"sustainable_development_goals":[{"id":"https://metadata.un.org/sdg/10","display_name":"Reduced inequalities","score":0.699999988079071}],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":15,"referenced_works":["https://openalex.org/W29604136","https://openalex.org/W34562190","https://openalex.org/W73870823","https://openalex.org/W101462505","https://openalex.org/W596756717","https://openalex.org/W845427635","https://openalex.org/W1490729186","https://openalex.org/W2008257536","https://openalex.org/W2010999914","https://openalex.org/W2135310605","https://openalex.org/W2153799432","https://openalex.org/W2157675799","https://openalex.org/W2246470716","https://openalex.org/W2536292503","https://openalex.org/W2952838368"],"related_works":["https://openalex.org/W2520934858","https://openalex.org/W2990487117","https://openalex.org/W2012882356","https://openalex.org/W109635080","https://openalex.org/W4213384165","https://openalex.org/W2085275338","https://openalex.org/W2377262226","https://openalex.org/W4285295794","https://openalex.org/W2098412892","https://openalex.org/W2531534085"],"abstract_inverted_index":{"The":[0],"paper":[1],"considers":[2],"the":[3,10,33,38,52,65,70],"interval":[4,12,46],"linear":[5,47],"inclusion":[6],"$${\\varvec{C}}x\\subseteq":[7],"{\\varvec{d}}$$":[8],"in":[9,37],"Kaucher":[11],"arithmetic.":[13],"We":[14,30],"introduce":[15],"a":[16,60],"quantitative":[17],"measure":[18],"of":[19,40,59,69,74],"its":[20,26,75],"fulfillment,":[21],"called":[22],"\u201creserve\u201d,":[23],"and":[24,28,42,73],"investigate":[25],"properties":[27],"application.":[29],"show":[31],"that":[32],"reserve":[34,53],"proves":[35],"useful":[36],"study":[39],"AE-solutions":[41],"quantifier":[43],"solutions":[44],"to":[45,56,64],"problems.":[48],"In":[49],"particular,":[50],"using":[51],"can":[54],"help":[55],"recognize":[57],"position":[58],"point":[61],"with":[62],"respect":[63],"solution":[66,71],"set,":[67],"emptiness":[68],"set":[72],"interior,":[76],"etc.":[77]},"counts_by_year":[{"year":2022,"cited_by_count":1}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}
