{"id":"https://openalex.org/W4289529956","doi":"https://doi.org/10.3390/systems10040112","title":"Distance-Based Decision Making, Consensus Building, and Preference Aggregation Systems: A Note on the Scale Constraints","display_name":"Distance-Based Decision Making, Consensus Building, and Preference Aggregation Systems: A Note on the Scale Constraints","publication_year":2022,"publication_date":"2022-07-29","ids":{"openalex":"https://openalex.org/W4289529956","doi":"https://doi.org/10.3390/systems10040112"},"language":"en","primary_location":{"id":"doi:10.3390/systems10040112","doi":"https://doi.org/10.3390/systems10040112","is_oa":true,"landing_page_url":"https://doi.org/10.3390/systems10040112","pdf_url":"https://www.mdpi.com/2079-8954/10/4/112/pdf?version=1661226107","source":{"id":"https://openalex.org/S4210219410","display_name":"Systems","issn_l":"2079-8954","issn":["2079-8954"],"is_oa":true,"is_in_doaj":true,"is_core":true,"listed_in":["anvur-scientific","cwts-core","doaj","norway-1","poland-40","russia-white-list-1","vabb-shw"],"host_organization":"https://openalex.org/P4310310987","host_organization_name":"Multidisciplinary Digital Publishing Institute","host_organization_lineage":["https://openalex.org/P4310310987"],"host_organization_lineage_names":["Multidisciplinary Digital Publishing Institute"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Systems","raw_type":"journal-article"},"volume":null,"type":"article","is_traditional":true,"indexed_in":["crossref","doaj"],"open_access":{"is_oa":true,"oa_status":"gold","oa_url":"https://www.mdpi.com/2079-8954/10/4/112/pdf?version=1661226107","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5083378879","display_name":"\u0130brahim G\u00fcrler","orcid":"https://orcid.org/0000-0002-9755-0556","observed_orcids":["https://orcid.org/0000-0002-9755-0556"]},"institutions":[{"id":"https://openalex.org/I2802529618","display_name":"Istanbul Topkapi University","ror":"https://ror.org/00g241p78","country_code":"TR","type":"education","lineage":["https://openalex.org/I2802529618"]}],"countries":["TR"],"is_corresponding":true,"raw_author_name":"\u0130brahim G\u00fcrler","raw_affiliation_strings":["Department of International Trade and Business, Istanbul Topkap\u0131 University, Istanbul 34020, Turkey"],"raw_orcid":"https://orcid.org/0000-0002-9755-0556","affiliations":[{"raw_affiliation_string":"Department of International Trade and Business, Istanbul Topkap\u0131 University, Istanbul 34020, Turkey","institution_ids":["https://openalex.org/I2802529618"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5069994121","display_name":"Ozan \u00c7ak\u0131r","orcid":"https://orcid.org/0000-0001-8126-6393","observed_orcids":["https://orcid.org/0000-0001-8126-6393"]},"institutions":[{"id":"https://openalex.org/I2802529618","display_name":"Istanbul Topkapi University","ror":"https://ror.org/00g241p78","country_code":"TR","type":"education","lineage":["https://openalex.org/I2802529618"]}],"countries":["TR"],"is_corresponding":false,"raw_author_name":"Ozan \u00c7ak\u0131r","raw_affiliation_strings":["Department of Management Information Systems, Istanbul Topkap\u0131 University, Istanbul 34020, Turkey"],"raw_orcid":"https://orcid.org/0000-0001-8126-6393","affiliations":[{"raw_affiliation_string":"Department of Management Information Systems, Istanbul Topkap\u0131 University, Istanbul 34020, Turkey","institution_ids":["https://openalex.org/I2802529618"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5072351114","display_name":"Bora G\u00fcnd\u00fczyeli","orcid":"https://orcid.org/0000-0001-5098-8713","observed_orcids":["https://orcid.org/0000-0001-5098-8713"]},"institutions":[{"id":"https://openalex.org/I2802529618","display_name":"Istanbul Topkapi University","ror":"https://ror.org/00g241p78","country_code":"TR","type":"education","lineage":["https://openalex.org/I2802529618"]}],"countries":["TR"],"is_corresponding":false,"raw_author_name":"Bora G\u00fcnd\u00fczyeli","raw_affiliation_strings":["Department of Management Information Systems, Istanbul Topkap\u0131 University, Istanbul 34020, Turkey"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Management Information Systems, Istanbul Topkap\u0131 University, Istanbul 34020, Turkey","institution_ids":["https://openalex.org/I2802529618"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5083378879"],"corresponding_institution_ids":["https://openalex.org/I2802529618"],"apc_list":{"value":1600,"currency":"CHF","value_usd":1675},"apc_paid":{"value":1600,"currency":"CHF","value_usd":1675},"fwci":0.2631,"has_fulltext":true,"cited_by_count":2,"citation_normalized_percentile":{"value":0.48359563,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":93,"max":95},"biblio":{"volume":"10","issue":"4","first_page":"112","last_page":"112"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10050","display_name":"Multi-Criteria Decision Making","score":0.9965999722480774,"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":0.9965999722480774,"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/T10991","display_name":"Game Theory and Voting Systems","score":0.002300000051036477,"subfield":{"id":"https://openalex.org/subfields/2002","display_name":"Economics and Econometrics"},"field":{"id":"https://openalex.org/fields/20","display_name":"Economics, Econometrics and Finance"},"domain":{"id":"https://openalex.org/domains/2","display_name":"Social Sciences"}},{"id":"https://openalex.org/T11734","display_name":"Decision Support System Applications","score":0.00019999999494757503,"subfield":{"id":"https://openalex.org/subfields/1404","display_name":"Management Information Systems"},"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/distance-metrics","display_name":"distance measures","score":0.8320000171661377},{"id":"https://openalex.org/keywords/consensus-building","display_name":"consensus building","score":0.9990000128746033},{"id":"https://openalex.org/keywords/preference-aggregation","display_name":"preference aggregation","score":0.9950000047683716},{"id":"https://openalex.org/keywords/redundant-constraints","display_name":"redundant constraints","score":0.7310000061988831}],"concepts":[{"id":"https://openalex.org/C108710211","wikidata":"https://www.wikidata.org/wiki/Q11538","display_name":"Mathematical proof","level":2,"score":0.7434658408164978},{"id":"https://openalex.org/C176217482","wikidata":"https://www.wikidata.org/wiki/Q860554","display_name":"Metric (unit)","level":2,"score":0.671707808971405},{"id":"https://openalex.org/C36503486","wikidata":"https://www.wikidata.org/wiki/Q11235244","display_name":"Domain (mathematical analysis)","level":2,"score":0.6511924266815186},{"id":"https://openalex.org/C2781249084","wikidata":"https://www.wikidata.org/wiki/Q908656","display_name":"Preference","level":2,"score":0.63895583152771},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.6361590623855591},{"id":"https://openalex.org/C2778755073","wikidata":"https://www.wikidata.org/wiki/Q10858537","display_name":"Scale (ratio)","level":2,"score":0.5854213237762451},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.5473676919937134},{"id":"https://openalex.org/C14036430","wikidata":"https://www.wikidata.org/wiki/Q3736076","display_name":"Function (biology)","level":2,"score":0.537557065486908},{"id":"https://openalex.org/C32172795","wikidata":"https://www.wikidata.org/wiki/Q4692266","display_name":"Aggregation problem","level":2,"score":0.49785828590393066},{"id":"https://openalex.org/C2639959","wikidata":"https://www.wikidata.org/wiki/Q1344778","display_name":"Distance measures","level":2,"score":0.4448603391647339},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.3070947527885437},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.23830237984657288},{"id":"https://openalex.org/C144237770","wikidata":"https://www.wikidata.org/wiki/Q747534","display_name":"Mathematical economics","level":1,"score":0.15525534749031067},{"id":"https://openalex.org/C127413603","wikidata":"https://www.wikidata.org/wiki/Q11023","display_name":"Engineering","level":0,"score":0.084002286195755},{"id":"https://openalex.org/C86803240","wikidata":"https://www.wikidata.org/wiki/Q420","display_name":"Biology","level":0,"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/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.0},{"id":"https://openalex.org/C21547014","wikidata":"https://www.wikidata.org/wiki/Q1423657","display_name":"Operations management","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/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.0},{"id":"https://openalex.org/C78458016","wikidata":"https://www.wikidata.org/wiki/Q840400","display_name":"Evolutionary biology","level":1,"score":0.0},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.3390/systems10040112","doi":"https://doi.org/10.3390/systems10040112","is_oa":true,"landing_page_url":"https://doi.org/10.3390/systems10040112","pdf_url":"https://www.mdpi.com/2079-8954/10/4/112/pdf?version=1661226107","source":{"id":"https://openalex.org/S4210219410","display_name":"Systems","issn_l":"2079-8954","issn":["2079-8954"],"is_oa":true,"is_in_doaj":true,"is_core":true,"listed_in":["anvur-scientific","cwts-core","doaj","norway-1","poland-40","russia-white-list-1","vabb-shw"],"host_organization":"https://openalex.org/P4310310987","host_organization_name":"Multidisciplinary Digital Publishing Institute","host_organization_lineage":["https://openalex.org/P4310310987"],"host_organization_lineage_names":["Multidisciplinary Digital Publishing Institute"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Systems","raw_type":"journal-article"},{"id":"pmh:oai:doaj.org/article:70fd5f86a4a744cbb2bcc56cb3d8d84d","doi":null,"is_oa":true,"landing_page_url":"https://doaj.org/article/70fd5f86a4a744cbb2bcc56cb3d8d84d","pdf_url":null,"source":{"id":"https://openalex.org/S4306401280","display_name":"DOAJ (DOAJ: Directory of Open Access Journals)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"repository"},"license":"cc-by-sa","license_id":"https://openalex.org/licenses/cc-by-sa","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Systems, Vol 10, Iss 4, p 112 (2022)","raw_type":"article"}],"best_oa_location":{"id":"doi:10.3390/systems10040112","doi":"https://doi.org/10.3390/systems10040112","is_oa":true,"landing_page_url":"https://doi.org/10.3390/systems10040112","pdf_url":"https://www.mdpi.com/2079-8954/10/4/112/pdf?version=1661226107","source":{"id":"https://openalex.org/S4210219410","display_name":"Systems","issn_l":"2079-8954","issn":["2079-8954"],"is_oa":true,"is_in_doaj":true,"is_core":true,"listed_in":["anvur-scientific","cwts-core","doaj","norway-1","poland-40","russia-white-list-1","vabb-shw"],"host_organization":"https://openalex.org/P4310310987","host_organization_name":"Multidisciplinary Digital Publishing Institute","host_organization_lineage":["https://openalex.org/P4310310987"],"host_organization_lineage_names":["Multidisciplinary Digital Publishing Institute"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Systems","raw_type":"journal-article"},"sustainable_development_goals":[],"study_designs":[],"awards":[],"funders":[],"has_content":{"pdf":true,"grobid_xml":true},"content_urls":{"pdf":"https://content.openalex.org/works/W4289529956.pdf","grobid_xml":"https://content.openalex.org/works/W4289529956.grobid-xml"},"referenced_works_count":77,"referenced_works":["https://openalex.org/W633804112","https://openalex.org/W1481488948","https://openalex.org/W1524771255","https://openalex.org/W1963652112","https://openalex.org/W1966408809","https://openalex.org/W1972852692","https://openalex.org/W1986720858","https://openalex.org/W1987203135","https://openalex.org/W1991446918","https://openalex.org/W1996054841","https://openalex.org/W1998567555","https://openalex.org/W2002878629","https://openalex.org/W2004592737","https://openalex.org/W2004862272","https://openalex.org/W2006847736","https://openalex.org/W2007646652","https://openalex.org/W2008535418","https://openalex.org/W2009316538","https://openalex.org/W2009775354","https://openalex.org/W2016380500","https://openalex.org/W2016650431","https://openalex.org/W2018260164","https://openalex.org/W2018335686","https://openalex.org/W2020421243","https://openalex.org/W2021967818","https://openalex.org/W2023846550","https://openalex.org/W2025035649","https://openalex.org/W2027754124","https://openalex.org/W2028242781","https://openalex.org/W2034392538","https://openalex.org/W2034508098","https://openalex.org/W2041166908","https://openalex.org/W2044832617","https://openalex.org/W2046520165","https://openalex.org/W2047241096","https://openalex.org/W2049715594","https://openalex.org/W2051224863","https://openalex.org/W2053047891","https://openalex.org/W2055892602","https://openalex.org/W2059316965","https://openalex.org/W2059790174","https://openalex.org/W2060223209","https://openalex.org/W2065442155","https://openalex.org/W2069576811","https://openalex.org/W2072201782","https://openalex.org/W2079912001","https://openalex.org/W2080279313","https://openalex.org/W2080774360","https://openalex.org/W2081430667","https://openalex.org/W2084101582","https://openalex.org/W2089556013","https://openalex.org/W2092413766","https://openalex.org/W2104477866","https://openalex.org/W2137911902","https://openalex.org/W2139786354","https://openalex.org/W2144338955","https://openalex.org/W2153702234","https://openalex.org/W2167967165","https://openalex.org/W2168867141","https://openalex.org/W2185374592","https://openalex.org/W2516825435","https://openalex.org/W2555228936","https://openalex.org/W2744102091","https://openalex.org/W2789613617","https://openalex.org/W2800291792","https://openalex.org/W2893925846","https://openalex.org/W2968997197","https://openalex.org/W2998111508","https://openalex.org/W3047140934","https://openalex.org/W3114634858","https://openalex.org/W3135990376","https://openalex.org/W4224062983","https://openalex.org/W4280520287","https://openalex.org/W4281713040","https://openalex.org/W4285231916","https://openalex.org/W4294555142","https://openalex.org/W6686335775"],"related_works":["https://openalex.org/W6892082946","https://openalex.org/W7095539394","https://openalex.org/W139614749","https://openalex.org/W7095604894","https://openalex.org/W1933249400","https://openalex.org/W2022396335","https://openalex.org/W2391988453","https://openalex.org/W92491003","https://openalex.org/W2107554203","https://openalex.org/W2182241356"],"abstract_inverted_index":{"Distance":[0],"metrics":[1],"and":[2,16,121,134],"their":[3],"extensions":[4],"are":[5],"widely":[6],"accepted":[7],"tools":[8],"in":[9,35,51,67,102,111],"supporting":[10],"distance-based":[11],"decision":[12,59],"making,":[13],"consensus":[14],"building,":[15],"preference":[17],"aggregation":[18],"systems.":[19],"For":[20],"several":[21],"models":[22],"of":[23,44,87],"this":[24,52,70,93,103],"nature,":[25],"it":[26],"may":[27],"be":[28,49],"necessary":[29,118],"to":[30,48,63],"elucidate":[31],"the":[32,36,56,58,84,88,98,106],"problem":[33],"output":[34],"original":[37,53],"input":[38],"domain.":[39],"When":[40],"a":[41,79,131,135],"particular":[42],"parameter":[43],"interest":[45],"is":[46,81],"desired":[47],"produced":[50],"domain,":[54],"i.e.,":[55],"scale,":[57],"makers":[60],"simply":[61],"resort":[62],"constraints":[64,100],"that":[65,97],"function":[66],"parallel":[68],"with":[69],"goal.":[71],"However,":[72],"there":[73],"exist":[74],"some":[75,112],"cases":[76],"where":[77],"such":[78],"membership":[80],"guaranteed":[82],"by":[83],"mathematical":[85,119],"properties":[86],"distance":[89],"metric":[90],"utilized.":[91],"In":[92],"paper,":[94],"we":[95],"argue":[96],"scale":[99],"utilized":[101],"manner":[104],"under":[105],"distance-metric":[107],"optimization":[108],"framework":[109],"are,":[110],"cases,":[113],"completely":[114],"redundant.":[115],"We":[116],"provide":[117],"proofs":[120],"illustrate":[122],"our":[123],"arguments":[124],"through":[125],"an":[126],"abstract":[127],"physical":[128],"system,":[129],"examples,":[130],"case":[132],"study,":[133],"brief":[136],"computational":[137],"experiment.":[138]},"counts_by_year":[{"year":2022,"cited_by_count":2}],"updated_date":"2026-10-16T09:59:22.235173","created_date":"2022-08-03T00:00:00"}