{"id":"https://openalex.org/W2159678270","doi":"https://doi.org/10.1007/s10100-010-0134-y","title":"A simplified implementation of the least squares solution for pairwise comparisons matrices","display_name":"A simplified implementation of the least squares solution for pairwise comparisons matrices","publication_year":2010,"publication_date":"2010-02-05","ids":{"openalex":"https://openalex.org/W2159678270","doi":"https://doi.org/10.1007/s10100-010-0134-y","mag":"2159678270"},"language":"en","primary_location":{"id":"doi:10.1007/s10100-010-0134-y","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s10100-010-0134-y","pdf_url":null,"source":{"id":"https://openalex.org/S161053114","display_name":"Central European Journal of Operations Research","issn_l":"1435-246X","issn":["1435-246X","1613-9178"],"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":"Central European Journal of Operations Research","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/A5090591126","display_name":"Marcin Anholcer","orcid":"https://orcid.org/0000-0001-7322-7095"},"institutions":[{"id":"https://openalex.org/I12379730","display_name":"Pozna\u0144 University of Economics and Business","ror":"https://ror.org/0532c1x92","country_code":"PL","type":"education","lineage":["https://openalex.org/I12379730"]}],"countries":["PL"],"is_corresponding":false,"raw_author_name":"Marcin Anholcer","raw_affiliation_strings":["Department of Operations Research, Pozna\u0144 University of Economics, Al. Niepodleg\u0142o\u015bci 10, 61-875, Pozna\u0144, Poland"],"affiliations":[{"raw_affiliation_string":"Department of Operations Research, Pozna\u0144 University of Economics, Al. Niepodleg\u0142o\u015bci 10, 61-875, Pozna\u0144, Poland","institution_ids":["https://openalex.org/I12379730"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5024946832","display_name":"Volodymyr Babiy","orcid":null},"institutions":[{"id":"https://openalex.org/I98251732","display_name":"McMaster University","ror":"https://ror.org/02fa3aq29","country_code":"CA","type":"education","lineage":["https://openalex.org/I98251732"]}],"countries":["CA"],"is_corresponding":false,"raw_author_name":"Volodymyr Babiy","raw_affiliation_strings":["Department of Computer Science, McMaster University, 1280 Main Street West, Hamilton, ON, L8S 4L8, Canada"],"affiliations":[{"raw_affiliation_string":"Department of Computer Science, McMaster University, 1280 Main Street West, Hamilton, ON, L8S 4L8, Canada","institution_ids":["https://openalex.org/I98251732"]}]},{"author_position":"middle","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/I7597260","display_name":"Hungarian Academy of Sciences","ror":"https://ror.org/02ks8qq67","country_code":"HU","type":"funder","lineage":["https://openalex.org/I7597260"]},{"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":["Laboratory on Engineering and Management Intelligence, Research Group of Operations Research and Decision Systems, Computer and Automation Research Institute, Hungarian Academy of Sciences, P.O. Box 63, 1518, Budapest, Hungary"],"affiliations":[{"raw_affiliation_string":"Laboratory on Engineering and Management Intelligence, Research Group of Operations Research and Decision Systems, Computer and Automation Research Institute, Hungarian Academy of Sciences, P.O. Box 63, 1518, Budapest, Hungary","institution_ids":["https://openalex.org/I4210117195","https://openalex.org/I7597260"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5062185520","display_name":"Waldemar W. Koczkodaj","orcid":"https://orcid.org/0000-0003-1067-2903"},"institutions":[{"id":"https://openalex.org/I52353378","display_name":"Laurentian University","ror":"https://ror.org/03rcwtr18","country_code":"CA","type":"education","lineage":["https://openalex.org/I52353378"]}],"countries":["CA"],"is_corresponding":true,"raw_author_name":"Waldemar W. Koczkodaj","raw_affiliation_strings":["Department of Computer Science, Laurentian University, 935 Ramsey Lk Rd., Sudbury, ON, P3E 2C6, Canada"],"affiliations":[{"raw_affiliation_string":"Department of Computer Science, Laurentian University, 935 Ramsey Lk Rd., Sudbury, ON, P3E 2C6, Canada","institution_ids":["https://openalex.org/I52353378"]}]}],"institutions":[],"countries_distinct_count":3,"institutions_distinct_count":4,"corresponding_author_ids":["https://openalex.org/A5062185520"],"corresponding_institution_ids":["https://openalex.org/I52353378"],"apc_list":{"value":2290,"currency":"EUR","value_usd":2890},"apc_paid":null,"fwci":2.4663,"has_fulltext":false,"cited_by_count":16,"citation_normalized_percentile":{"value":0.88563884,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":98},"biblio":{"volume":"19","issue":"4","first_page":"439","last_page":"444"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T13487","display_name":"Statistical and numerical algorithms","score":0.9707000255584717,"subfield":{"id":"https://openalex.org/subfields/2604","display_name":"Applied Mathematics"},"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/T13487","display_name":"Statistical and numerical algorithms","score":0.9707000255584717,"subfield":{"id":"https://openalex.org/subfields/2604","display_name":"Applied Mathematics"},"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/T10320","display_name":"Neural Networks and Applications","score":0.9369999766349792,"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/T10050","display_name":"Multi-Criteria Decision Making","score":0.9247999787330627,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/pairwise-comparison","display_name":"Pairwise comparison","score":0.8750010132789612},{"id":"https://openalex.org/keywords/least-squares-function-approximation","display_name":"Least-squares function approximation","score":0.6512238383293152},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.5246049165725708},{"id":"https://openalex.org/keywords/generalized-least-squares","display_name":"Generalized least squares","score":0.5196008086204529},{"id":"https://openalex.org/keywords/matrix","display_name":"Matrix (chemical analysis)","score":0.5107767581939697},{"id":"https://openalex.org/keywords/total-least-squares","display_name":"Total least squares","score":0.4869433641433716},{"id":"https://openalex.org/keywords/linear-least-squares","display_name":"Linear least squares","score":0.4701398015022278},{"id":"https://openalex.org/keywords/statistics","display_name":"Statistics","score":0.4274926483631134},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.41166555881500244},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.39863115549087524},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.36594006419181824},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.35530006885528564},{"id":"https://openalex.org/keywords/linear-model","display_name":"Linear model","score":0.07947298884391785},{"id":"https://openalex.org/keywords/regression-analysis","display_name":"Regression analysis","score":0.07362642884254456},{"id":"https://openalex.org/keywords/chromatography","display_name":"Chromatography","score":0.056787461042404175},{"id":"https://openalex.org/keywords/chemistry","display_name":"Chemistry","score":0.040598779916763306}],"concepts":[{"id":"https://openalex.org/C184898388","wikidata":"https://www.wikidata.org/wiki/Q1435712","display_name":"Pairwise comparison","level":2,"score":0.8750010132789612},{"id":"https://openalex.org/C9936470","wikidata":"https://www.wikidata.org/wiki/Q6510405","display_name":"Least-squares function approximation","level":3,"score":0.6512238383293152},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5246049165725708},{"id":"https://openalex.org/C188649462","wikidata":"https://www.wikidata.org/wiki/Q2246261","display_name":"Generalized least squares","level":3,"score":0.5196008086204529},{"id":"https://openalex.org/C106487976","wikidata":"https://www.wikidata.org/wiki/Q685816","display_name":"Matrix (chemical analysis)","level":2,"score":0.5107767581939697},{"id":"https://openalex.org/C169241690","wikidata":"https://www.wikidata.org/wiki/Q7828122","display_name":"Total least squares","level":3,"score":0.4869433641433716},{"id":"https://openalex.org/C58663186","wikidata":"https://www.wikidata.org/wiki/Q6553462","display_name":"Linear least squares","level":3,"score":0.4701398015022278},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.4274926483631134},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.41166555881500244},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.39863115549087524},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.36594006419181824},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.35530006885528564},{"id":"https://openalex.org/C163175372","wikidata":"https://www.wikidata.org/wiki/Q3339222","display_name":"Linear model","level":2,"score":0.07947298884391785},{"id":"https://openalex.org/C152877465","wikidata":"https://www.wikidata.org/wiki/Q208042","display_name":"Regression analysis","level":2,"score":0.07362642884254456},{"id":"https://openalex.org/C43617362","wikidata":"https://www.wikidata.org/wiki/Q170050","display_name":"Chromatography","level":1,"score":0.056787461042404175},{"id":"https://openalex.org/C185592680","wikidata":"https://www.wikidata.org/wiki/Q2329","display_name":"Chemistry","level":0,"score":0.040598779916763306},{"id":"https://openalex.org/C185429906","wikidata":"https://www.wikidata.org/wiki/Q1130160","display_name":"Estimator","level":2,"score":0.0}],"mesh":[],"locations_count":3,"locations":[{"id":"doi:10.1007/s10100-010-0134-y","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s10100-010-0134-y","pdf_url":null,"source":{"id":"https://openalex.org/S161053114","display_name":"Central European Journal of Operations Research","issn_l":"1435-246X","issn":["1435-246X","1613-9178"],"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":"Central European Journal of Operations Research","raw_type":"journal-article"},{"id":"pmh:oai:real.mtak.hu:65494","is_oa":false,"landing_page_url":null,"pdf_url":null,"source":{"id":"https://openalex.org/S4306400081","display_name":"Repository of the Academy's Library (Library of the Hungarian Academy of Sciences)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I4210140733","host_organization_name":"Library and Information Centre of the Hungarian Academy of Sciences","host_organization_lineage":["https://openalex.org/I4210140733"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"acceptedVersion","is_accepted":true,"is_published":false,"raw_source_name":"","raw_type":"Article"},{"id":"pmh:oai:RePEc:spr:cejnor:v:19:y:2011:i:4:p:439-444","is_oa":false,"landing_page_url":"http://hdl.handle.net/10.1007/s10100-010-0134-y","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":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":4,"referenced_works":["https://openalex.org/W1969736197","https://openalex.org/W1977618871","https://openalex.org/W2067948432","https://openalex.org/W2074145107"],"related_works":["https://openalex.org/W79007405","https://openalex.org/W2146954624","https://openalex.org/W2034819163","https://openalex.org/W4380487384","https://openalex.org/W1965270833","https://openalex.org/W4319880936","https://openalex.org/W2374560502","https://openalex.org/W2368345218","https://openalex.org/W2352570898","https://openalex.org/W2797020683"],"abstract_inverted_index":null,"counts_by_year":[{"year":2024,"cited_by_count":4},{"year":2019,"cited_by_count":1},{"year":2018,"cited_by_count":1},{"year":2017,"cited_by_count":1},{"year":2015,"cited_by_count":1},{"year":2014,"cited_by_count":2},{"year":2013,"cited_by_count":2},{"year":2012,"cited_by_count":2}],"updated_date":"2026-04-05T17:49:38.594831","created_date":"2016-06-24T00:00:00"}
