{"id":"https://openalex.org/W4323317471","doi":"https://doi.org/10.1080/23307706.2023.2179551","title":"Characterising ranking stability in interval pairwise comparison matrices","display_name":"Characterising ranking stability in interval pairwise comparison matrices","publication_year":2023,"publication_date":"2023-03-06","ids":{"openalex":"https://openalex.org/W4323317471","doi":"https://doi.org/10.1080/23307706.2023.2179551"},"language":"en","primary_location":{"id":"doi:10.1080/23307706.2023.2179551","is_oa":false,"landing_page_url":"https://doi.org/10.1080/23307706.2023.2179551","pdf_url":null,"source":{"id":"https://openalex.org/S2475925340","display_name":"Journal of Control and Decision","issn_l":"2330-7706","issn":["2330-7706","2330-7714"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320547","host_organization_name":"Taylor & Francis","host_organization_lineage":["https://openalex.org/P4310320547"],"host_organization_lineage_names":["Taylor & Francis"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Journal of Control and Decision","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/A5056066548","display_name":"Luca Faramondi","orcid":"https://orcid.org/0000-0002-3750-2405"},"institutions":[{"id":"https://openalex.org/I155125353","display_name":"Universit\u00e0 Campus Bio-Medico","ror":"https://ror.org/04gqx4x78","country_code":"IT","type":"education","lineage":["https://openalex.org/I155125353"]}],"countries":["IT"],"is_corresponding":true,"raw_author_name":"L. Faramondi","raw_affiliation_strings":["Unit of Automatic Control, Department of Engineering, Universit\u00e1 Campus Bio-Medico di Roma, Rome, Italy"],"raw_orcid":"https://orcid.org/0000-0002-3750-2405","affiliations":[{"raw_affiliation_string":"Unit of Automatic Control, Department of Engineering, Universit\u00e1 Campus Bio-Medico di Roma, Rome, Italy","institution_ids":["https://openalex.org/I155125353"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5012297844","display_name":"Gabriele Oliva","orcid":"https://orcid.org/0000-0001-7257-4079"},"institutions":[{"id":"https://openalex.org/I155125353","display_name":"Universit\u00e0 Campus Bio-Medico","ror":"https://ror.org/04gqx4x78","country_code":"IT","type":"education","lineage":["https://openalex.org/I155125353"]}],"countries":["IT"],"is_corresponding":false,"raw_author_name":"G. Oliva","raw_affiliation_strings":["Unit of Automatic Control, Department of Engineering, Universit\u00e1 Campus Bio-Medico di Roma, Rome, Italy"],"raw_orcid":"https://orcid.org/0000-0001-7257-4079","affiliations":[{"raw_affiliation_string":"Unit of Automatic Control, Department of Engineering, Universit\u00e1 Campus Bio-Medico di Roma, Rome, Italy","institution_ids":["https://openalex.org/I155125353"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5032289109","display_name":"Roberto Setola","orcid":"https://orcid.org/0000-0002-8792-2520"},"institutions":[{"id":"https://openalex.org/I155125353","display_name":"Universit\u00e0 Campus Bio-Medico","ror":"https://ror.org/04gqx4x78","country_code":"IT","type":"education","lineage":["https://openalex.org/I155125353"]}],"countries":["IT"],"is_corresponding":false,"raw_author_name":"R. Setola","raw_affiliation_strings":["Unit of Automatic Control, Department of Engineering, Universit\u00e1 Campus Bio-Medico di Roma, Rome, Italy"],"raw_orcid":"https://orcid.org/0000-0002-8792-2520","affiliations":[{"raw_affiliation_string":"Unit of Automatic Control, Department of Engineering, Universit\u00e1 Campus Bio-Medico di Roma, Rome, Italy","institution_ids":["https://openalex.org/I155125353"]}]},{"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. Boz\u00f3ki","raw_affiliation_strings":["Department of Operations Research and Actuarial Sciences, Corvinus University of Budapest, Budapest, Hungary","Research Group of Operations Research and Decision Systems, Research Laboratory on Engineering and Management Intelligence, Institute for Computer Science and Control (SZTAKI), E\u00f6tv\u00f6s Lor\u00e1nd Research Network (ELKH), Budapest, Hungary"],"raw_orcid":"https://orcid.org/0000-0003-4170-4613","affiliations":[{"raw_affiliation_string":"Department of Operations Research and Actuarial Sciences, Corvinus University of Budapest, Budapest, Hungary","institution_ids":["https://openalex.org/I163245316"]},{"raw_affiliation_string":"Research Group of Operations Research and Decision Systems, Research Laboratory on Engineering and Management Intelligence, Institute for Computer Science and Control (SZTAKI), E\u00f6tv\u00f6s Lor\u00e1nd Research Network (ELKH), Budapest, Hungary","institution_ids":["https://openalex.org/I4210117195"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":4,"corresponding_author_ids":["https://openalex.org/A5056066548"],"corresponding_institution_ids":["https://openalex.org/I155125353"],"apc_list":null,"apc_paid":null,"fwci":0.9862,"has_fulltext":false,"cited_by_count":4,"citation_normalized_percentile":{"value":0.76951188,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":91,"max":97},"biblio":{"volume":"11","issue":"3","first_page":"460","last_page":"471"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10050","display_name":"Multi-Criteria Decision Making","score":0.9998000264167786,"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":0.9998000264167786,"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/T12135","display_name":"Fuzzy Systems and Optimization","score":0.9908999800682068,"subfield":{"id":"https://openalex.org/subfields/2613","display_name":"Statistics and Probability"},"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/T11871","display_name":"Advanced Statistical Methods and Models","score":0.92330002784729,"subfield":{"id":"https://openalex.org/subfields/2613","display_name":"Statistics and Probability"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/pairwise-comparison","display_name":"Pairwise comparison","score":0.8772774934768677},{"id":"https://openalex.org/keywords/ranking","display_name":"Ranking (information retrieval)","score":0.6058892011642456},{"id":"https://openalex.org/keywords/decision-maker","display_name":"Decision maker","score":0.48789024353027344},{"id":"https://openalex.org/keywords/robustness","display_name":"Robustness (evolution)","score":0.4558601975440979},{"id":"https://openalex.org/keywords/rank","display_name":"Rank (graph theory)","score":0.45183902978897095},{"id":"https://openalex.org/keywords/decision-analysis","display_name":"Decision analysis","score":0.4469984471797943},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.4382268190383911},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.4003719985485077},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.3895868957042694},{"id":"https://openalex.org/keywords/operations-research","display_name":"Operations research","score":0.3653551936149597},{"id":"https://openalex.org/keywords/data-mining","display_name":"Data mining","score":0.3224663734436035},{"id":"https://openalex.org/keywords/machine-learning","display_name":"Machine learning","score":0.30937471985816956},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.2673364281654358},{"id":"https://openalex.org/keywords/statistics","display_name":"Statistics","score":0.18606212735176086}],"concepts":[{"id":"https://openalex.org/C184898388","wikidata":"https://www.wikidata.org/wiki/Q1435712","display_name":"Pairwise comparison","level":2,"score":0.8772774934768677},{"id":"https://openalex.org/C189430467","wikidata":"https://www.wikidata.org/wiki/Q7293293","display_name":"Ranking (information retrieval)","level":2,"score":0.6058892011642456},{"id":"https://openalex.org/C2986080485","wikidata":"https://www.wikidata.org/wiki/Q1331926","display_name":"Decision maker","level":2,"score":0.48789024353027344},{"id":"https://openalex.org/C63479239","wikidata":"https://www.wikidata.org/wiki/Q7353546","display_name":"Robustness (evolution)","level":3,"score":0.4558601975440979},{"id":"https://openalex.org/C164226766","wikidata":"https://www.wikidata.org/wiki/Q7293202","display_name":"Rank (graph theory)","level":2,"score":0.45183902978897095},{"id":"https://openalex.org/C186116695","wikidata":"https://www.wikidata.org/wiki/Q5249226","display_name":"Decision analysis","level":2,"score":0.4469984471797943},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.4382268190383911},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.4003719985485077},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.3895868957042694},{"id":"https://openalex.org/C42475967","wikidata":"https://www.wikidata.org/wiki/Q194292","display_name":"Operations research","level":1,"score":0.3653551936149597},{"id":"https://openalex.org/C124101348","wikidata":"https://www.wikidata.org/wiki/Q172491","display_name":"Data mining","level":1,"score":0.3224663734436035},{"id":"https://openalex.org/C119857082","wikidata":"https://www.wikidata.org/wiki/Q2539","display_name":"Machine learning","level":1,"score":0.30937471985816956},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.2673364281654358},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.18606212735176086},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.0},{"id":"https://openalex.org/C104317684","wikidata":"https://www.wikidata.org/wiki/Q7187","display_name":"Gene","level":2,"score":0.0},{"id":"https://openalex.org/C55493867","wikidata":"https://www.wikidata.org/wiki/Q7094","display_name":"Biochemistry","level":1,"score":0.0},{"id":"https://openalex.org/C185592680","wikidata":"https://www.wikidata.org/wiki/Q2329","display_name":"Chemistry","level":0,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1080/23307706.2023.2179551","is_oa":false,"landing_page_url":"https://doi.org/10.1080/23307706.2023.2179551","pdf_url":null,"source":{"id":"https://openalex.org/S2475925340","display_name":"Journal of Control and Decision","issn_l":"2330-7706","issn":["2330-7706","2330-7714"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320547","host_organization_name":"Taylor & Francis","host_organization_lineage":["https://openalex.org/P4310320547"],"host_organization_lineage_names":["Taylor & Francis"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Journal of Control and Decision","raw_type":"journal-article"},{"id":"pmh:oai:eprints.sztaki.hu:10691","is_oa":false,"landing_page_url":"https://eprints.sztaki.hu/10691/","pdf_url":null,"source":{"id":"https://openalex.org/S4306401907","display_name":"SZTAKI Publication Repository (Hungarian Academy of Sciences)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I7597260","host_organization_name":"Hungarian Academy of Sciences","host_organization_lineage":["https://openalex.org/I7597260"],"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":"PeerReviewed"}],"best_oa_location":null,"sustainable_development_goals":[{"score":0.8100000023841858,"id":"https://metadata.un.org/sdg/16","display_name":"Peace, Justice and strong institutions"}],"awards":[],"funders":[{"id":"https://openalex.org/F4320324633","display_name":"Istituto Nazionale per l'Assicurazione Contro Gli Infortuni sul Lavoro","ror":"https://ror.org/01t264m74"}],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":32,"referenced_works":["https://openalex.org/W158950929","https://openalex.org/W206690697","https://openalex.org/W1519092900","https://openalex.org/W1596877211","https://openalex.org/W1967778360","https://openalex.org/W1980201624","https://openalex.org/W1983619252","https://openalex.org/W1992446692","https://openalex.org/W2007209794","https://openalex.org/W2012491224","https://openalex.org/W2020407132","https://openalex.org/W2022116781","https://openalex.org/W2025447782","https://openalex.org/W2032876573","https://openalex.org/W2046078150","https://openalex.org/W2055892602","https://openalex.org/W2064343186","https://openalex.org/W2065258344","https://openalex.org/W2079259391","https://openalex.org/W2103180510","https://openalex.org/W2114386757","https://openalex.org/W2124766374","https://openalex.org/W2724499509","https://openalex.org/W2737329502","https://openalex.org/W2767707399","https://openalex.org/W2902669204","https://openalex.org/W3003515827","https://openalex.org/W3135195571","https://openalex.org/W3216443832","https://openalex.org/W4205773545","https://openalex.org/W4223918596","https://openalex.org/W4296120272"],"related_works":["https://openalex.org/W2011472225","https://openalex.org/W2767338541","https://openalex.org/W3000057026","https://openalex.org/W3048565508","https://openalex.org/W3163984363","https://openalex.org/W3160516639","https://openalex.org/W2295963756","https://openalex.org/W2109209819","https://openalex.org/W1502851707","https://openalex.org/W2080494333"],"abstract_inverted_index":{"Relative":[0],"pairwise":[1],"comparisons":[2],"represent":[3],"the":[4,33,36,55,59,66,69,85,95,98,102,114,121,124,143],"cornerstone":[5],"for":[6],"several":[7],"decision-making":[8,16,70,103],"methods.":[9],"Such":[10],"approaches":[11],"aim":[12],"to":[13,26,57,83,93,109,128],"support":[14,110],"complex":[15],"situations":[17],"with":[18,42,126],"multiple":[19],"alternatives":[20,34],"and":[21,105],"are":[22,49],"essential":[23],"in":[24,91,112],"order":[25,92],"provide":[27],"an":[28,74],"overall":[29],"absolute":[30],"evaluation":[31],"of":[32,38,61,68,87,97,101,116,123,146],"despite":[35],"presence":[37,86],"experts":[39,111],"and/or":[40],"decision-makers":[41],"conflicting":[43],"opinions.":[44],"Moreover,":[45],"when":[46],"decision-maker's":[47],"opinions":[48],"affected":[50],"by":[51,131],"uncertainty,":[52],"there":[53],"is":[54,136],"need":[56],"analyse":[58],"effect":[60],"such":[62],"uncertain":[63],"measures":[64],"on":[65,77],"result":[67],"process.":[71],"We":[72,119],"propose":[73],"approach":[75],"based":[76],"a":[78,106,133],"multi-objective":[79],"optimisation":[80],"problem,":[81],"able":[82,108],"identify":[84],"rank":[88,129],"reversal":[89,130],"issues":[90],"evaluate":[94],"stability":[96],"final":[99],"outcome":[100],"process":[104],"metric":[107],"evaluating":[113],"effects":[115],"their":[117],"uncertainty.":[118],"characterise":[120],"robustness":[122],"ranking":[125],"respect":[127],"identifying":[132],"perturbation":[134],"that":[135],"as":[137,139],"small":[138],"possible,":[140],"while":[141],"causing":[142],"maximum":[144],"number":[145],"ordinal":[147],"swaps.":[148]},"counts_by_year":[{"year":2025,"cited_by_count":1},{"year":2024,"cited_by_count":3}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}