{"id":"https://openalex.org/W2346990399","doi":"https://doi.org/10.3233/fi-2016-1336","title":"Important Facts and Observations about Pairwise Comparisons (the special issue edition)","display_name":"Important Facts and Observations about Pairwise Comparisons (the special issue edition)","publication_year":2016,"publication_date":"2016-05-02","ids":{"openalex":"https://openalex.org/W2346990399","doi":"https://doi.org/10.3233/fi-2016-1336","mag":"2346990399"},"language":"en","primary_location":{"id":"doi:10.3233/fi-2016-1336","is_oa":true,"landing_page_url":"https://doi.org/10.3233/fi-2016-1336","pdf_url":"https://content.iospress.com:443/download/fundamenta-informaticae/fi1336?id=fundamenta-informaticae%2Ffi1336","source":{"id":"https://openalex.org/S39012697","display_name":"Fundamenta Informaticae","issn_l":"0169-2968","issn":["0169-2968","1875-8681"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310318577","host_organization_name":"IOS Press","host_organization_lineage":["https://openalex.org/P4310318577"],"host_organization_lineage_names":["IOS Press"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Fundamenta Informaticae","raw_type":"journal-article"},"type":"article","indexed_in":["crossref"],"open_access":{"is_oa":true,"oa_status":"bronze","oa_url":"https://content.iospress.com:443/download/fundamenta-informaticae/fi1336?id=fundamenta-informaticae%2Ffi1336","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","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":["Laurentian University, 935 Ramsey Lake Road, Sudbury, Ontario P3E 2C6, Canada. wkoczkodaj@cs.laurentian.ca"],"affiliations":[{"raw_affiliation_string":"Laurentian University, 935 Ramsey Lake Road, Sudbury, Ontario P3E 2C6, Canada. wkoczkodaj@cs.laurentian.ca","institution_ids":["https://openalex.org/I52353378"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5016644879","display_name":"L. Mikhailov","orcid":"https://orcid.org/0000-0001-7172-7731"},"institutions":[{"id":"https://openalex.org/I28407311","display_name":"University of Manchester","ror":"https://ror.org/027m9bs27","country_code":"GB","type":"education","lineage":["https://openalex.org/I28407311"]}],"countries":["GB"],"is_corresponding":false,"raw_author_name":"Ludmil Mikhailov","raw_affiliation_strings":["The University of Manchester, M13 9PL, United Kingdom. ludi.mikhailov@mbs.ac.uk"],"affiliations":[{"raw_affiliation_string":"The University of Manchester, M13 9PL, United Kingdom. ludi.mikhailov@mbs.ac.uk","institution_ids":["https://openalex.org/I28407311"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5103031735","display_name":"Grzegorz Redlarski","orcid":"https://orcid.org/0000-0003-1959-7380"},"institutions":[{"id":"https://openalex.org/I169333911","display_name":"Gda\u0144sk University of Technology","ror":"https://ror.org/006x4sc24","country_code":"PL","type":"education","lineage":["https://openalex.org/I169333911"]}],"countries":["PL"],"is_corresponding":false,"raw_author_name":"Grzegorz Redlarski","raw_affiliation_strings":["Gdansk University of Technology, 80-297 Gdansk, Narutowicza st. 11/12, Poland. grzegorz.redlarski@pg.gda.pl"],"affiliations":[{"raw_affiliation_string":"Gdansk University of Technology, 80-297 Gdansk, Narutowicza st. 11/12, Poland. grzegorz.redlarski@pg.gda.pl","institution_ids":["https://openalex.org/I169333911"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5002671973","display_name":"Michael Soltys","orcid":"https://orcid.org/0000-0002-3834-1914"},"institutions":[{"id":"https://openalex.org/I194388944","display_name":"California State University, Channel Islands","ror":"https://ror.org/04v097707","country_code":"US","type":"education","lineage":["https://openalex.org/I194388944"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Michael Soltys","raw_affiliation_strings":["California State University Channel Islands, One University Drive, Camarillo, CA 93012, USA, michael.soltys@csuci.edu"],"affiliations":[{"raw_affiliation_string":"California State University Channel Islands, One University Drive, Camarillo, CA 93012, USA, michael.soltys@csuci.edu","institution_ids":["https://openalex.org/I194388944"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5040790158","display_name":"Jacek Szybowski","orcid":"https://orcid.org/0000-0003-4182-0454"},"institutions":[{"id":"https://openalex.org/I686019","display_name":"AGH University of Krakow","ror":"https://ror.org/00bas1c41","country_code":"PL","type":"education","lineage":["https://openalex.org/I686019"]}],"countries":["PL"],"is_corresponding":false,"raw_author_name":"Jacek Szybowski","raw_affiliation_strings":["AGH University of Science and Technology, al. Mickiewicza 30, 30-059 Krakow, Poland. szybowsk@agh.edu.pl"],"affiliations":[{"raw_affiliation_string":"AGH University of Science and Technology, al. Mickiewicza 30, 30-059 Krakow, Poland. szybowsk@agh.edu.pl","institution_ids":["https://openalex.org/I686019"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5024598778","display_name":"Gaik Tamazian","orcid":"https://orcid.org/0000-0002-2931-1123"},"institutions":[{"id":"https://openalex.org/I172901346","display_name":"St Petersburg University","ror":"https://ror.org/023znxa73","country_code":"RU","type":"education","lineage":["https://openalex.org/I172901346"]}],"countries":["RU"],"is_corresponding":false,"raw_author_name":"Gaik Tamazian","raw_affiliation_strings":["St. Petersburg State University, 198207 Srendiy Prospekt, d. 41, St. Petersburg, Russia. g.tamazian@spbu.ru"],"affiliations":[{"raw_affiliation_string":"St. Petersburg State University, 198207 Srendiy Prospekt, d. 41, St. Petersburg, Russia. g.tamazian@spbu.ru","institution_ids":["https://openalex.org/I172901346"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5070230847","display_name":"Eliza Wajch","orcid":"https://orcid.org/0000-0003-1864-2303"},"institutions":[{"id":"https://openalex.org/I231086526","display_name":"University of Siedlce","ror":"https://ror.org/01wkb9987","country_code":"PL","type":"education","lineage":["https://openalex.org/I231086526"]}],"countries":["PL"],"is_corresponding":false,"raw_author_name":"Eliza Wajch","raw_affiliation_strings":["Siedlce University of Natural Sciences and Humanities, 3 Maja 54, 08-110 Siedlice, Poland. eliza.wajch@wp.pl"],"affiliations":[{"raw_affiliation_string":"Siedlce University of Natural Sciences and Humanities, 3 Maja 54, 08-110 Siedlice, Poland. eliza.wajch@wp.pl","institution_ids":["https://openalex.org/I231086526"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5056440787","display_name":"Kevin Kam Fung Yuen","orcid":"https://orcid.org/0000-0003-1497-2575"},"institutions":[{"id":"https://openalex.org/I69356397","display_name":"Xi\u2019an Jiaotong-Liverpool University","ror":"https://ror.org/03zmrmn05","country_code":"CN","type":"education","lineage":["https://openalex.org/I69356397"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Kevin Kam Fung Yuen","raw_affiliation_strings":["Xi\u2019an Jiaotong-Liverpool University, Suzhou 215123, China. Kevin.Yuen@xjtlu.edu.cn"],"affiliations":[{"raw_affiliation_string":"Xi\u2019an Jiaotong-Liverpool University, Suzhou 215123, China. Kevin.Yuen@xjtlu.edu.cn","institution_ids":["https://openalex.org/I69356397"]}]}],"institutions":[],"countries_distinct_count":6,"institutions_distinct_count":8,"corresponding_author_ids":["https://openalex.org/A5062185520"],"corresponding_institution_ids":["https://openalex.org/I52353378"],"apc_list":null,"apc_paid":null,"fwci":10.1984,"has_fulltext":true,"cited_by_count":49,"citation_normalized_percentile":{"value":0.98105354,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":94,"max":99},"biblio":{"volume":"144","issue":"3-4","first_page":"291","last_page":"307"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T13083","display_name":"Advanced Text Analysis Techniques","score":0.3151000142097473,"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"}},"topics":[{"id":"https://openalex.org/T13083","display_name":"Advanced Text Analysis Techniques","score":0.3151000142097473,"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/T14103","display_name":"Educational Management and Quality","score":0.3127000033855438,"subfield":{"id":"https://openalex.org/subfields/1710","display_name":"Information Systems"},"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/T14356","display_name":"Organizational Leadership and Management Strategies","score":0.29190000891685486,"subfield":{"id":"https://openalex.org/subfields/1408","display_name":"Strategy and Management"},"field":{"id":"https://openalex.org/fields/14","display_name":"Business, Management and Accounting"},"domain":{"id":"https://openalex.org/domains/2","display_name":"Social Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/pairwise-comparison","display_name":"Pairwise comparison","score":0.9283517599105835},{"id":"https://openalex.org/keywords/analytic-hierarchy-process","display_name":"Analytic hierarchy process","score":0.8317526578903198},{"id":"https://openalex.org/keywords/abstraction","display_name":"Abstraction","score":0.6535944938659668},{"id":"https://openalex.org/keywords/interpretation","display_name":"Interpretation (philosophy)","score":0.6421840190887451},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.5571842193603516},{"id":"https://openalex.org/keywords/representation","display_name":"Representation (politics)","score":0.5473596453666687},{"id":"https://openalex.org/keywords/hierarchy","display_name":"Hierarchy","score":0.537532389163971},{"id":"https://openalex.org/keywords/epistemology","display_name":"Epistemology","score":0.5146856904029846},{"id":"https://openalex.org/keywords/management-science","display_name":"Management science","score":0.3623597323894501},{"id":"https://openalex.org/keywords/operations-research","display_name":"Operations research","score":0.3576733469963074},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.3508702516555786},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.2514421343803406},{"id":"https://openalex.org/keywords/philosophy","display_name":"Philosophy","score":0.12704965472221375},{"id":"https://openalex.org/keywords/political-science","display_name":"Political science","score":0.11678695678710938},{"id":"https://openalex.org/keywords/engineering","display_name":"Engineering","score":0.08981895446777344},{"id":"https://openalex.org/keywords/law","display_name":"Law","score":0.07318329811096191},{"id":"https://openalex.org/keywords/programming-language","display_name":"Programming language","score":0.07162344455718994}],"concepts":[{"id":"https://openalex.org/C184898388","wikidata":"https://www.wikidata.org/wiki/Q1435712","display_name":"Pairwise comparison","level":2,"score":0.9283517599105835},{"id":"https://openalex.org/C87345402","wikidata":"https://www.wikidata.org/wiki/Q485202","display_name":"Analytic hierarchy process","level":2,"score":0.8317526578903198},{"id":"https://openalex.org/C124304363","wikidata":"https://www.wikidata.org/wiki/Q673661","display_name":"Abstraction","level":2,"score":0.6535944938659668},{"id":"https://openalex.org/C527412718","wikidata":"https://www.wikidata.org/wiki/Q855395","display_name":"Interpretation (philosophy)","level":2,"score":0.6421840190887451},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.5571842193603516},{"id":"https://openalex.org/C2776359362","wikidata":"https://www.wikidata.org/wiki/Q2145286","display_name":"Representation (politics)","level":3,"score":0.5473596453666687},{"id":"https://openalex.org/C31170391","wikidata":"https://www.wikidata.org/wiki/Q188619","display_name":"Hierarchy","level":2,"score":0.537532389163971},{"id":"https://openalex.org/C111472728","wikidata":"https://www.wikidata.org/wiki/Q9471","display_name":"Epistemology","level":1,"score":0.5146856904029846},{"id":"https://openalex.org/C539667460","wikidata":"https://www.wikidata.org/wiki/Q2414942","display_name":"Management science","level":1,"score":0.3623597323894501},{"id":"https://openalex.org/C42475967","wikidata":"https://www.wikidata.org/wiki/Q194292","display_name":"Operations research","level":1,"score":0.3576733469963074},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.3508702516555786},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.2514421343803406},{"id":"https://openalex.org/C138885662","wikidata":"https://www.wikidata.org/wiki/Q5891","display_name":"Philosophy","level":0,"score":0.12704965472221375},{"id":"https://openalex.org/C17744445","wikidata":"https://www.wikidata.org/wiki/Q36442","display_name":"Political science","level":0,"score":0.11678695678710938},{"id":"https://openalex.org/C127413603","wikidata":"https://www.wikidata.org/wiki/Q11023","display_name":"Engineering","level":0,"score":0.08981895446777344},{"id":"https://openalex.org/C199539241","wikidata":"https://www.wikidata.org/wiki/Q7748","display_name":"Law","level":1,"score":0.07318329811096191},{"id":"https://openalex.org/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","level":1,"score":0.07162344455718994},{"id":"https://openalex.org/C94625758","wikidata":"https://www.wikidata.org/wiki/Q7163","display_name":"Politics","level":2,"score":0.0}],"mesh":[],"locations_count":3,"locations":[{"id":"doi:10.3233/fi-2016-1336","is_oa":true,"landing_page_url":"https://doi.org/10.3233/fi-2016-1336","pdf_url":"https://content.iospress.com:443/download/fundamenta-informaticae/fi1336?id=fundamenta-informaticae%2Ffi1336","source":{"id":"https://openalex.org/S39012697","display_name":"Fundamenta Informaticae","issn_l":"0169-2968","issn":["0169-2968","1875-8681"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310318577","host_organization_name":"IOS Press","host_organization_lineage":["https://openalex.org/P4310318577"],"host_organization_lineage_names":["IOS Press"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Fundamenta Informaticae","raw_type":"journal-article"},{"id":"pmh:oai:pure.atira.dk:openaire/4dc3c393-3e5c-47b6-bc09-9c6dd99b1bbc","is_oa":true,"landing_page_url":"https://research.manchester.ac.uk/en/publications/4dc3c393-3e5c-47b6-bc09-9c6dd99b1bbc","pdf_url":null,"source":{"id":"https://openalex.org/S4306400662","display_name":"Research Explorer (The University of Manchester)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I28407311","host_organization_name":"University of Manchester","host_organization_lineage":["https://openalex.org/I28407311"],"host_organization_lineage_names":[],"type":"repository"},"license":"other-oa","license_id":"https://openalex.org/licenses/other-oa","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Koczkodaj, W, Mikhailov, L, Redlarski, G, Soltys, M, Szybowski, J, Wajch, E, Yuen, K & Tamazian, G 2016, 'Important Facts and Observations about Pairwise Comparisons', Fundamenta Informaticae, vol. 144, no. 3-4, pp. 291-307. https://doi.org/10.3233/FI-2016-1336","raw_type":"info:eu-repo/semantics/publishedVersion"},{"id":"pmh:oai:pure.atira.dk:publications/4dc3c393-3e5c-47b6-bc09-9c6dd99b1bbc","is_oa":false,"landing_page_url":"https://www.research.manchester.ac.uk/portal/en/publications/important-facts-and-observations-about-pairwise-comparisons(4dc3c393-3e5c-47b6-bc09-9c6dd99b1bbc).html","pdf_url":null,"source":{"id":"https://openalex.org/S4306400662","display_name":"Research Explorer (The University of Manchester)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I28407311","host_organization_name":"University of Manchester","host_organization_lineage":["https://openalex.org/I28407311"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":""}],"best_oa_location":{"id":"doi:10.3233/fi-2016-1336","is_oa":true,"landing_page_url":"https://doi.org/10.3233/fi-2016-1336","pdf_url":"https://content.iospress.com:443/download/fundamenta-informaticae/fi1336?id=fundamenta-informaticae%2Ffi1336","source":{"id":"https://openalex.org/S39012697","display_name":"Fundamenta Informaticae","issn_l":"0169-2968","issn":["0169-2968","1875-8681"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310318577","host_organization_name":"IOS Press","host_organization_lineage":["https://openalex.org/P4310318577"],"host_organization_lineage_names":["IOS Press"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Fundamenta Informaticae","raw_type":"journal-article"},"sustainable_development_goals":[],"awards":[],"funders":[{"id":"https://openalex.org/F4320327493","display_name":"Megagrants","ror":null}],"has_content":{"grobid_xml":true,"pdf":true},"content_urls":{"pdf":"https://content.openalex.org/works/W2346990399.pdf","grobid_xml":"https://content.openalex.org/works/W2346990399.grobid-xml"},"referenced_works_count":41,"referenced_works":["https://openalex.org/W173698722","https://openalex.org/W1497606539","https://openalex.org/W1664278360","https://openalex.org/W1964607439","https://openalex.org/W1967278327","https://openalex.org/W1980629609","https://openalex.org/W1983675831","https://openalex.org/W1994584866","https://openalex.org/W2004610557","https://openalex.org/W2008002477","https://openalex.org/W2011472225","https://openalex.org/W2025738350","https://openalex.org/W2028526074","https://openalex.org/W2035716459","https://openalex.org/W2051658624","https://openalex.org/W2059611823","https://openalex.org/W2065288720","https://openalex.org/W2068916183","https://openalex.org/W2080151622","https://openalex.org/W2080378318","https://openalex.org/W2094031322","https://openalex.org/W2094669672","https://openalex.org/W2100023586","https://openalex.org/W2111719258","https://openalex.org/W2133686717","https://openalex.org/W2148696696","https://openalex.org/W2323066318","https://openalex.org/W2345747677","https://openalex.org/W2466820582","https://openalex.org/W2478527802","https://openalex.org/W2801549925","https://openalex.org/W2949900819","https://openalex.org/W3101698863","https://openalex.org/W3105005508","https://openalex.org/W3184402006","https://openalex.org/W4232837771","https://openalex.org/W4235093120","https://openalex.org/W4244070295","https://openalex.org/W4254427135","https://openalex.org/W4302583945","https://openalex.org/W6751054543"],"related_works":["https://openalex.org/W2619886288","https://openalex.org/W2410864841","https://openalex.org/W380774767","https://openalex.org/W3134930408","https://openalex.org/W4287965002","https://openalex.org/W1977674833","https://openalex.org/W2395251459","https://openalex.org/W2028983668","https://openalex.org/W2084939379","https://openalex.org/W48568101"],"abstract_inverted_index":{"This":[0,34],"study":[1,35,85],"has":[2],"been":[3,102],"inspired":[4],"by":[5,93],"numerous":[6],"requests":[7],"for":[8,104],"clarification":[9],"from":[10],"researchers":[11],"who":[12],"often":[13],"confuse":[14],"Saaty\u2019s":[15],"Analytic":[16],"Hierarchy":[17],"Process":[18],"(AHP)":[19],"with":[20],"the":[21,29,67,74],"pairwise":[22,79],"comparisons":[23],"(PC)":[24],"method,":[25],"taking":[26],"AHP":[27],"as":[28,39],"only":[30],"representation":[31],"of":[32,45,48,65,69,78,83],"PC.":[33,49],"should":[36],"be":[37],"regarded":[38],"an":[40],"interpretation":[41],"and":[42,76,95],"clarificatio":[43],"n":[44],"past":[46],"investigations":[47],"In":[50],"addition,":[51],"this":[52,84],"article":[53],"is":[54],"a":[55,62,89],"reflection":[56],"on":[57,88],"general":[58],"PC":[59],"research":[60],"at":[61],"higher":[63],"level":[64],"abstraction:":[66],"philosophy":[68],"science.":[70],"It":[71],"delves":[72],"into":[73],"foundations":[75],"implications":[77],"comparisons.":[80],"Some":[81],"results":[82],"are":[86],"based":[87],"recently":[90],"published":[91],"work":[92],"Koczkodaj":[94],"Szwarc.":[96],"Finally,":[97],"open":[98],"problems":[99],"have":[100],"also":[101],"reported":[103],"future":[105],"research.":[106]},"counts_by_year":[{"year":2025,"cited_by_count":3},{"year":2024,"cited_by_count":3},{"year":2023,"cited_by_count":2},{"year":2022,"cited_by_count":5},{"year":2021,"cited_by_count":9},{"year":2020,"cited_by_count":4},{"year":2019,"cited_by_count":6},{"year":2018,"cited_by_count":5},{"year":2017,"cited_by_count":8},{"year":2016,"cited_by_count":4}],"updated_date":"2026-04-04T16:13:02.066488","created_date":"2016-06-24T00:00:00"}