{"id":"https://openalex.org/W4386607534","doi":"https://doi.org/10.1007/s10479-023-05586-x","title":"On the coincidence of optimal completions for small pairwise comparison matrices with missing entries","display_name":"On the coincidence of optimal completions for small pairwise comparison matrices with missing entries","publication_year":2023,"publication_date":"2023-09-11","ids":{"openalex":"https://openalex.org/W4386607534","doi":"https://doi.org/10.1007/s10479-023-05586-x"},"language":"en","primary_location":{"id":"doi:10.1007/s10479-023-05586-x","is_oa":true,"landing_page_url":"https://doi.org/10.1007/s10479-023-05586-x","pdf_url":"https://link.springer.com/content/pdf/10.1007/s10479-023-05586-x.pdf","source":{"id":"https://openalex.org/S57667410","display_name":"Annals of Operations Research","issn_l":"0254-5330","issn":["0254-5330","1572-9338"],"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":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Annals of Operations Research","raw_type":"journal-article"},"type":"article","indexed_in":["crossref"],"open_access":{"is_oa":true,"oa_status":"hybrid","oa_url":"https://link.springer.com/content/pdf/10.1007/s10479-023-05586-x.pdf","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5086741611","display_name":"\u0141\u00e1szl\u00f3 Csat\u00f3","orcid":"https://orcid.org/0000-0001-8705-5036"},"institutions":[{"id":"https://openalex.org/I163245316","display_name":"Corvinus University of Budapest","ror":"https://ror.org/01vxfm326","country_code":"HU","type":"education","lineage":["https://openalex.org/I163245316"]},{"id":"https://openalex.org/I4210117195","display_name":"Institute for Computer Science and Control","ror":"https://ror.org/0249v7n71","country_code":"HU","type":"facility","lineage":["https://openalex.org/I4210117195","https://openalex.org/I7597260"]}],"countries":["HU"],"is_corresponding":true,"raw_author_name":"L\u00e1szl\u00f3 Csat\u00f3","raw_affiliation_strings":["Institute of Operations and Decision Sciences, Department of Operations Research and Actuarial Sciences, Corvinus University of Budapest, F\u0151v\u00e1m square 8., Budapest, 1093, Hungary","Laboratory on Engineering and Management Intelligence, Research Group of Operations Research and Decision Systems, HUN-REN Institute for Computer Science and Control (HUN-REN SZTAKI), Kende street 13\u201317., Budapest, 1111, Hungary"],"raw_orcid":"https://orcid.org/0000-0001-8705-5036","affiliations":[{"raw_affiliation_string":"Institute of Operations and Decision Sciences, Department of Operations Research and Actuarial Sciences, Corvinus University of Budapest, F\u0151v\u00e1m square 8., Budapest, 1093, Hungary","institution_ids":["https://openalex.org/I163245316"]},{"raw_affiliation_string":"Laboratory on Engineering and Management Intelligence, Research Group of Operations Research and Decision Systems, HUN-REN Institute for Computer Science and Control (HUN-REN SZTAKI), Kende street 13\u201317., Budapest, 1111, Hungary","institution_ids":["https://openalex.org/I4210117195"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5007209543","display_name":"Kolos Csaba \u00c1goston","orcid":"https://orcid.org/0000-0002-6738-0592"},"institutions":[{"id":"https://openalex.org/I163245316","display_name":"Corvinus University of Budapest","ror":"https://ror.org/01vxfm326","country_code":"HU","type":"education","lineage":["https://openalex.org/I163245316"]}],"countries":["HU"],"is_corresponding":false,"raw_author_name":"Kolos Csaba \u00c1goston","raw_affiliation_strings":["Institute of Operations and Decision Sciences, Department of Operations Research and Actuarial Sciences, Corvinus University of Budapest, F\u0151v\u00e1m square 8., Budapest, 1093, Hungary"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Institute of Operations and Decision Sciences, Department of Operations Research and Actuarial Sciences, Corvinus University of Budapest, F\u0151v\u00e1m square 8., Budapest, 1093, Hungary","institution_ids":["https://openalex.org/I163245316"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5042358724","display_name":"S\u00e1ndor Boz\u00f3ki","orcid":"https://orcid.org/0000-0003-4170-4613"},"institutions":[{"id":"https://openalex.org/I163245316","display_name":"Corvinus University of Budapest","ror":"https://ror.org/01vxfm326","country_code":"HU","type":"education","lineage":["https://openalex.org/I163245316"]},{"id":"https://openalex.org/I4210117195","display_name":"Institute for Computer Science and Control","ror":"https://ror.org/0249v7n71","country_code":"HU","type":"facility","lineage":["https://openalex.org/I4210117195","https://openalex.org/I7597260"]}],"countries":["HU"],"is_corresponding":false,"raw_author_name":"S\u00e1ndor Boz\u00f3ki","raw_affiliation_strings":["Institute of Operations and Decision Sciences, Department of Operations Research and Actuarial Sciences, Corvinus University of Budapest, F\u0151v\u00e1m square 8., Budapest, 1093, Hungary","Laboratory on Engineering and Management Intelligence, Research Group of Operations Research and Decision Systems, HUN-REN Institute for Computer Science and Control (HUN-REN SZTAKI), Kende street 13\u201317., Budapest, 1111, Hungary"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Institute of Operations and Decision Sciences, Department of Operations Research and Actuarial Sciences, Corvinus University of Budapest, F\u0151v\u00e1m square 8., Budapest, 1093, Hungary","institution_ids":["https://openalex.org/I163245316"]},{"raw_affiliation_string":"Laboratory on Engineering and Management Intelligence, Research Group of Operations Research and Decision Systems, HUN-REN Institute for Computer Science and Control (HUN-REN SZTAKI), Kende street 13\u201317., Budapest, 1111, Hungary","institution_ids":["https://openalex.org/I4210117195"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5086741611"],"corresponding_institution_ids":["https://openalex.org/I163245316","https://openalex.org/I4210117195"],"apc_list":{"value":2390,"currency":"EUR","value_usd":2990},"apc_paid":{"value":2390,"currency":"EUR","value_usd":2990},"fwci":0.9862,"has_fulltext":true,"cited_by_count":4,"citation_normalized_percentile":{"value":0.78684949,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":91,"max":98},"biblio":{"volume":"333","issue":"1","first_page":"239","last_page":"247"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10050","display_name":"Multi-Criteria Decision Making","score":0.9995999932289124,"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"}},"topics":[{"id":"https://openalex.org/T10050","display_name":"Multi-Criteria Decision Making","score":0.9995999932289124,"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/T11303","display_name":"Bayesian Modeling and Causal Inference","score":0.9164000153541565,"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/T11106","display_name":"Data Management and Algorithms","score":0.911899983882904,"subfield":{"id":"https://openalex.org/subfields/1711","display_name":"Signal Processing"},"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/pairwise-comparison","display_name":"Pairwise comparison","score":0.9335805177688599},{"id":"https://openalex.org/keywords/coincidence","display_name":"Coincidence","score":0.7353017330169678},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.6517703533172607},{"id":"https://openalex.org/keywords/logarithm","display_name":"Logarithm","score":0.641097903251648},{"id":"https://openalex.org/keywords/theory-of-computation","display_name":"Theory of computation","score":0.6162254214286804},{"id":"https://openalex.org/keywords/index","display_name":"Index (typography)","score":0.529308557510376},{"id":"https://openalex.org/keywords/missing-data","display_name":"Missing data","score":0.5250532627105713},{"id":"https://openalex.org/keywords/measure","display_name":"Measure (data warehouse)","score":0.5067680478096008},{"id":"https://openalex.org/keywords/eigenvalues-and-eigenvectors","display_name":"Eigenvalues and eigenvectors","score":0.4784955382347107},{"id":"https://openalex.org/keywords/statistics","display_name":"Statistics","score":0.40773293375968933},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.34738272428512573},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.32881754636764526},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.3235604166984558},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.24182391166687012},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.23685547709465027},{"id":"https://openalex.org/keywords/data-mining","display_name":"Data mining","score":0.14456430077552795}],"concepts":[{"id":"https://openalex.org/C184898388","wikidata":"https://www.wikidata.org/wiki/Q1435712","display_name":"Pairwise comparison","level":2,"score":0.9335805177688599},{"id":"https://openalex.org/C2779832538","wikidata":"https://www.wikidata.org/wiki/Q2308809","display_name":"Coincidence","level":3,"score":0.7353017330169678},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.6517703533172607},{"id":"https://openalex.org/C39927690","wikidata":"https://www.wikidata.org/wiki/Q11197","display_name":"Logarithm","level":2,"score":0.641097903251648},{"id":"https://openalex.org/C24858836","wikidata":"https://www.wikidata.org/wiki/Q844718","display_name":"Theory of computation","level":2,"score":0.6162254214286804},{"id":"https://openalex.org/C2777382242","wikidata":"https://www.wikidata.org/wiki/Q6017816","display_name":"Index (typography)","level":2,"score":0.529308557510376},{"id":"https://openalex.org/C9357733","wikidata":"https://www.wikidata.org/wiki/Q6878417","display_name":"Missing data","level":2,"score":0.5250532627105713},{"id":"https://openalex.org/C2780009758","wikidata":"https://www.wikidata.org/wiki/Q6804172","display_name":"Measure (data warehouse)","level":2,"score":0.5067680478096008},{"id":"https://openalex.org/C158693339","wikidata":"https://www.wikidata.org/wiki/Q190524","display_name":"Eigenvalues and eigenvectors","level":2,"score":0.4784955382347107},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.40773293375968933},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.34738272428512573},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.32881754636764526},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.3235604166984558},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.24182391166687012},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.23685547709465027},{"id":"https://openalex.org/C124101348","wikidata":"https://www.wikidata.org/wiki/Q172491","display_name":"Data mining","level":1,"score":0.14456430077552795},{"id":"https://openalex.org/C142724271","wikidata":"https://www.wikidata.org/wiki/Q7208","display_name":"Pathology","level":1,"score":0.0},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.0},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","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/C136764020","wikidata":"https://www.wikidata.org/wiki/Q466","display_name":"World Wide Web","level":1,"score":0.0},{"id":"https://openalex.org/C71924100","wikidata":"https://www.wikidata.org/wiki/Q11190","display_name":"Medicine","level":0,"score":0.0},{"id":"https://openalex.org/C204787440","wikidata":"https://www.wikidata.org/wiki/Q188504","display_name":"Alternative medicine","level":2,"score":0.0}],"mesh":[],"locations_count":3,"locations":[{"id":"doi:10.1007/s10479-023-05586-x","is_oa":true,"landing_page_url":"https://doi.org/10.1007/s10479-023-05586-x","pdf_url":"https://link.springer.com/content/pdf/10.1007/s10479-023-05586-x.pdf","source":{"id":"https://openalex.org/S57667410","display_name":"Annals of Operations Research","issn_l":"0254-5330","issn":["0254-5330","1572-9338"],"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":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Annals of Operations Research","raw_type":"journal-article"},{"id":"pmh:oai:unipub.lib.uni-corvinus.hu:10014","is_oa":true,"landing_page_url":null,"pdf_url":"https://unipub.lib.uni-corvinus.hu/10014/1/s10479-023-05586-x.pdf","source":{"id":"https://openalex.org/S4306400280","display_name":"Corvinus Research Archive (Corvinus University of Budapest)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I163245316","host_organization_name":"Corvinus University of Budapest","host_organization_lineage":["https://openalex.org/I163245316"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":"Article"},{"id":"pmh:oai:RePEc:spr:annopr:v:333:y:2024:i:1:d:10.1007_s10479-023-05586-x","is_oa":false,"landing_page_url":"http://link.springer.com/10.1007/s10479-023-05586-x","pdf_url":null,"source":{"id":"https://openalex.org/S4306401271","display_name":"RePEc: Research Papers in Economics","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I77793887","host_organization_name":"Federal Reserve Bank of St. Louis","host_organization_lineage":["https://openalex.org/I77793887"],"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":"article"}],"best_oa_location":{"id":"doi:10.1007/s10479-023-05586-x","is_oa":true,"landing_page_url":"https://doi.org/10.1007/s10479-023-05586-x","pdf_url":"https://link.springer.com/content/pdf/10.1007/s10479-023-05586-x.pdf","source":{"id":"https://openalex.org/S57667410","display_name":"Annals of Operations Research","issn_l":"0254-5330","issn":["0254-5330","1572-9338"],"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":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Annals of Operations Research","raw_type":"journal-article"},"sustainable_development_goals":[{"score":0.4099999964237213,"display_name":"Reduced inequalities","id":"https://metadata.un.org/sdg/10"}],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":true},"content_urls":{"pdf":"https://content.openalex.org/works/W4386607534.pdf"},"referenced_works_count":31,"referenced_works":["https://openalex.org/W1458927723","https://openalex.org/W1519092900","https://openalex.org/W1599523128","https://openalex.org/W1822004825","https://openalex.org/W1968307125","https://openalex.org/W1969736197","https://openalex.org/W1983619252","https://openalex.org/W2006257185","https://openalex.org/W2020407132","https://openalex.org/W2027773313","https://openalex.org/W2036977033","https://openalex.org/W2037485150","https://openalex.org/W2038882980","https://openalex.org/W2051765707","https://openalex.org/W2055892602","https://openalex.org/W2057969005","https://openalex.org/W2066959845","https://openalex.org/W2069403107","https://openalex.org/W2114386757","https://openalex.org/W2128971439","https://openalex.org/W2163346261","https://openalex.org/W2255995813","https://openalex.org/W2734806994","https://openalex.org/W2893188218","https://openalex.org/W2910766832","https://openalex.org/W3033199410","https://openalex.org/W3186215453","https://openalex.org/W3194361536","https://openalex.org/W4312755332","https://openalex.org/W4322619057","https://openalex.org/W7044984047"],"related_works":["https://openalex.org/W2138100553","https://openalex.org/W3033220593","https://openalex.org/W3029319512","https://openalex.org/W2007743448","https://openalex.org/W3098848373","https://openalex.org/W1990560562","https://openalex.org/W2070733898","https://openalex.org/W4389454697","https://openalex.org/W1014021808","https://openalex.org/W2119125991"],"abstract_inverted_index":{"Abstract":[0],"Incomplete":[1],"pairwise":[2,78],"comparison":[3,79],"matrices":[4,80],"contain":[5],"some":[6],"missing":[7],"judgements.":[8],"A":[9],"natural":[10],"approach":[11],"to":[12,53,70,82],"estimate":[13],"these":[14],"values":[15],"is":[16],"provided":[17],"by":[18,30],"minimising":[19],"a":[20],"reasonable":[21],"measure":[22],"of":[23],"inconsistency":[24,35,42,47],"after":[25],"unknown":[26],"entries":[27],"are":[28,40,50,68],"replaced":[29],"variables.":[31],"Two":[32],"widely":[33],"used":[34],"indices":[36],"for":[37,76,88],"this":[38],"purpose":[39],"Saaty\u2019s":[41],"index":[43],"and":[44,56],"the":[45,54,57,72],"geometric":[46],"index,":[48],"which":[49],"closely":[51],"related":[52],"eigenvector":[55],"logarithmic":[58],"least":[59,91],"squares":[60],"priority":[61],"deriving":[62],"methods,":[63],"respectively.":[64],"The":[65],"two":[66],"measures":[67],"proven":[69],"imply":[71],"same":[73],"optimal":[74],"filling":[75],"incomplete":[77],"up":[81],"order":[83,89],"four":[84],"but":[85],"not":[86],"necessarily":[87],"at":[90],"five.":[92]},"counts_by_year":[{"year":2026,"cited_by_count":1},{"year":2025,"cited_by_count":1},{"year":2024,"cited_by_count":2}],"updated_date":"2025-12-25T23:11:45.687758","created_date":"2025-10-10T00:00:00"}
