{"id":"https://openalex.org/W7110834260","doi":"https://doi.org/10.1287/deca.2024.0317","title":"Linear Transformation of One-Dimensional Utility Functions: Empirical Study on the Impact on the Final Ranking of Alternatives in Personal Decisions","display_name":"Linear Transformation of One-Dimensional Utility Functions: Empirical Study on the Impact on the Final Ranking of Alternatives in Personal Decisions","publication_year":2025,"publication_date":"2025-12-09","ids":{"openalex":"https://openalex.org/W7110834260","doi":"https://doi.org/10.1287/deca.2024.0317"},"language":"en","primary_location":{"id":"doi:10.1287/deca.2024.0317","is_oa":false,"landing_page_url":"https://doi.org/10.1287/deca.2024.0317","pdf_url":null,"source":{"id":"https://openalex.org/S33235364","display_name":"Decision Analysis","issn_l":"1545-8490","issn":["1545-8490","1545-8504"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310315699","host_organization_name":"Institute for Operations Research and the Management Sciences","host_organization_lineage":["https://openalex.org/P4310315699"],"host_organization_lineage_names":["Institute for Operations Research and the Management Sciences"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Decision Analysis","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":null,"display_name":"Mendy T\u00f6nsfeuerborn","orcid":"https://orcid.org/0000-0003-2844-2962"},"institutions":[{"id":"https://openalex.org/I4210145899","display_name":"Westf\u00e4lische Hochschule","ror":"https://ror.org/04p7ekn23","country_code":"DE","type":"education","lineage":["https://openalex.org/I4210145899"]}],"countries":["DE"],"is_corresponding":true,"raw_author_name":"Mendy T\u00f6nsfeuerborn","raw_affiliation_strings":["Decision Theory and Financial Services, Rheinisch-Westf\u00e4lische Technische Hochschule Aachen University, 52062 Aachen, Germany"],"raw_orcid":"https://orcid.org/0000-0003-2844-2962","affiliations":[{"raw_affiliation_string":"Decision Theory and Financial Services, Rheinisch-Westf\u00e4lische Technische Hochschule Aachen University, 52062 Aachen, Germany","institution_ids":["https://openalex.org/I4210145899"]}]},{"author_position":"middle","author":{"id":null,"display_name":"R\u00fcdiger von Nitzsch","orcid":null},"institutions":[{"id":"https://openalex.org/I4210145899","display_name":"Westf\u00e4lische Hochschule","ror":"https://ror.org/04p7ekn23","country_code":"DE","type":"education","lineage":["https://openalex.org/I4210145899"]}],"countries":["DE"],"is_corresponding":false,"raw_author_name":"R\u00fcdiger von Nitzsch","raw_affiliation_strings":["Decision Theory and Financial Services, Rheinisch-Westf\u00e4lische Technische Hochschule Aachen University, 52062 Aachen, Germany"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Decision Theory and Financial Services, Rheinisch-Westf\u00e4lische Technische Hochschule Aachen University, 52062 Aachen, Germany","institution_ids":["https://openalex.org/I4210145899"]}]},{"author_position":"last","author":{"id":null,"display_name":"Johannes Ulrich Siebert","orcid":"https://orcid.org/0000-0003-1623-308X"},"institutions":[{"id":"https://openalex.org/I41073452","display_name":"Management Center Innsbruck","ror":"https://ror.org/021kg9v06","country_code":"AT","type":"education","lineage":["https://openalex.org/I41073452"]}],"countries":["AT"],"is_corresponding":false,"raw_author_name":"Johannes Ulrich Siebert","raw_affiliation_strings":["Business and Management, Management Centre Innsbruck Internationale Bildung und Wissenschaft GmbH, 6020 Innsbruck, Austria"],"raw_orcid":"https://orcid.org/0000-0003-1623-308X","affiliations":[{"raw_affiliation_string":"Business and Management, Management Centre Innsbruck Internationale Bildung und Wissenschaft GmbH, 6020 Innsbruck, Austria","institution_ids":["https://openalex.org/I41073452"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":3,"corresponding_author_ids":[],"corresponding_institution_ids":["https://openalex.org/I4210145899"],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":0,"citation_normalized_percentile":{"value":0.63583062,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":"23","issue":"1","first_page":"46","last_page":"64"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10315","display_name":"Decision-Making and Behavioral Economics","score":0.2685999870300293,"subfield":{"id":"https://openalex.org/subfields/1800","display_name":"General Decision Sciences"},"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/T10315","display_name":"Decision-Making and Behavioral Economics","score":0.2685999870300293,"subfield":{"id":"https://openalex.org/subfields/1800","display_name":"General Decision Sciences"},"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/T10841","display_name":"Economic and Environmental Valuation","score":0.1428000032901764,"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/T10050","display_name":"Multi-Criteria Decision Making","score":0.10580000281333923,"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/ranking","display_name":"Ranking (information retrieval)","score":0.7577999830245972},{"id":"https://openalex.org/keywords/expected-utility-hypothesis","display_name":"Expected utility hypothesis","score":0.656499981880188},{"id":"https://openalex.org/keywords/rank","display_name":"Rank (graph theory)","score":0.5835999846458435},{"id":"https://openalex.org/keywords/marginal-utility","display_name":"Marginal utility","score":0.5623999834060669},{"id":"https://openalex.org/keywords/set","display_name":"Set (abstract data type)","score":0.5206999778747559},{"id":"https://openalex.org/keywords/linearization","display_name":"Linearization","score":0.5091000199317932},{"id":"https://openalex.org/keywords/decision-theory","display_name":"Decision theory","score":0.4650999903678894},{"id":"https://openalex.org/keywords/empirical-research","display_name":"Empirical research","score":0.4237000048160553},{"id":"https://openalex.org/keywords/preference","display_name":"Preference","score":0.4228000044822693},{"id":"https://openalex.org/keywords/function","display_name":"Function (biology)","score":0.4018000066280365}],"concepts":[{"id":"https://openalex.org/C189430467","wikidata":"https://www.wikidata.org/wiki/Q7293293","display_name":"Ranking (information retrieval)","level":2,"score":0.7577999830245972},{"id":"https://openalex.org/C205706631","wikidata":"https://www.wikidata.org/wiki/Q2319304","display_name":"Expected utility hypothesis","level":2,"score":0.656499981880188},{"id":"https://openalex.org/C164226766","wikidata":"https://www.wikidata.org/wiki/Q7293202","display_name":"Rank (graph theory)","level":2,"score":0.5835999846458435},{"id":"https://openalex.org/C138551086","wikidata":"https://www.wikidata.org/wiki/Q842271","display_name":"Marginal utility","level":2,"score":0.5623999834060669},{"id":"https://openalex.org/C177264268","wikidata":"https://www.wikidata.org/wiki/Q1514741","display_name":"Set (abstract data type)","level":2,"score":0.5206999778747559},{"id":"https://openalex.org/C11210021","wikidata":"https://www.wikidata.org/wiki/Q1520713","display_name":"Linearization","level":3,"score":0.5091000199317932},{"id":"https://openalex.org/C28901747","wikidata":"https://www.wikidata.org/wiki/Q177571","display_name":"Decision theory","level":2,"score":0.4650999903678894},{"id":"https://openalex.org/C149782125","wikidata":"https://www.wikidata.org/wiki/Q160039","display_name":"Econometrics","level":1,"score":0.44999998807907104},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.44830000400543213},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.4431000053882599},{"id":"https://openalex.org/C120936955","wikidata":"https://www.wikidata.org/wiki/Q2155640","display_name":"Empirical research","level":2,"score":0.4237000048160553},{"id":"https://openalex.org/C2781249084","wikidata":"https://www.wikidata.org/wiki/Q908656","display_name":"Preference","level":2,"score":0.4228000044822693},{"id":"https://openalex.org/C14036430","wikidata":"https://www.wikidata.org/wiki/Q3736076","display_name":"Function (biology)","level":2,"score":0.4018000066280365},{"id":"https://openalex.org/C136028653","wikidata":"https://www.wikidata.org/wiki/Q1425777","display_name":"Subjective expected utility","level":3,"score":0.3910999894142151},{"id":"https://openalex.org/C186116695","wikidata":"https://www.wikidata.org/wiki/Q5249226","display_name":"Decision analysis","level":2,"score":0.3833000063896179},{"id":"https://openalex.org/C112972136","wikidata":"https://www.wikidata.org/wiki/Q7595718","display_name":"Stability (learning theory)","level":2,"score":0.37720000743865967},{"id":"https://openalex.org/C150325174","wikidata":"https://www.wikidata.org/wiki/Q4335500","display_name":"Optimal decision","level":3,"score":0.36570000648498535},{"id":"https://openalex.org/C204241405","wikidata":"https://www.wikidata.org/wiki/Q461499","display_name":"Transformation (genetics)","level":3,"score":0.36469998955726624},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.34769999980926514},{"id":"https://openalex.org/C2779530757","wikidata":"https://www.wikidata.org/wiki/Q1207505","display_name":"Quality (philosophy)","level":2,"score":0.34310001134872437},{"id":"https://openalex.org/C11105738","wikidata":"https://www.wikidata.org/wiki/Q1895805","display_name":"Multiple-criteria decision analysis","level":2,"score":0.31850001215934753},{"id":"https://openalex.org/C42475967","wikidata":"https://www.wikidata.org/wiki/Q194292","display_name":"Operations research","level":1,"score":0.314300000667572},{"id":"https://openalex.org/C59594135","wikidata":"https://www.wikidata.org/wiki/Q5249242","display_name":"Decision model","level":2,"score":0.29280000925064087},{"id":"https://openalex.org/C339426","wikidata":"https://www.wikidata.org/wiki/Q1151839","display_name":"Prospect theory","level":2,"score":0.2921999990940094},{"id":"https://openalex.org/C2983295151","wikidata":"https://www.wikidata.org/wiki/Q466707","display_name":"Utility theory","level":2,"score":0.2904999852180481},{"id":"https://openalex.org/C115988155","wikidata":"https://www.wikidata.org/wiki/Q3262192","display_name":"Decision problem","level":2,"score":0.2773999869823456},{"id":"https://openalex.org/C2779351106","wikidata":"https://www.wikidata.org/wiki/Q24965456","display_name":"Decision quality","level":3,"score":0.2728999853134155},{"id":"https://openalex.org/C154808841","wikidata":"https://www.wikidata.org/wiki/Q3467023","display_name":"Isoelastic utility","level":3,"score":0.26989999413490295},{"id":"https://openalex.org/C84525736","wikidata":"https://www.wikidata.org/wiki/Q831366","display_name":"Decision tree","level":2,"score":0.267300009727478},{"id":"https://openalex.org/C107327155","wikidata":"https://www.wikidata.org/wiki/Q330268","display_name":"Decision support system","level":2,"score":0.2669000029563904},{"id":"https://openalex.org/C124999997","wikidata":"https://www.wikidata.org/wiki/Q4358367","display_name":"Von Neumann\u2013Morgenstern utility theorem","level":3,"score":0.2667999863624573},{"id":"https://openalex.org/C2992151728","wikidata":"https://www.wikidata.org/wiki/Q474883","display_name":"Water utility","level":3,"score":0.2563999891281128}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1287/deca.2024.0317","is_oa":false,"landing_page_url":"https://doi.org/10.1287/deca.2024.0317","pdf_url":null,"source":{"id":"https://openalex.org/S33235364","display_name":"Decision Analysis","issn_l":"1545-8490","issn":["1545-8490","1545-8504"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310315699","host_organization_name":"Institute for Operations Research and the Management Sciences","host_organization_lineage":["https://openalex.org/P4310315699"],"host_organization_lineage_names":["Institute for Operations Research and the Management Sciences"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Decision Analysis","raw_type":"journal-article"},{"id":"pmh:oai:publications.rwth-aachen.de:1023979","is_oa":false,"landing_page_url":"https://publications.rwth-aachen.de/record/1023979","pdf_url":null,"source":{"id":"https://openalex.org/S4306401033","display_name":"RWTH Publications (RWTH Aachen)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I887968799","host_organization_name":"RWTH Aachen University","host_organization_lineage":["https://openalex.org/I887968799"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Decision analysis 23(1), 46-64 (2025). doi:10.1287/deca.2024.0317","raw_type":"info:eu-repo/semantics/publishedVersion"}],"best_oa_location":null,"sustainable_development_goals":[{"id":"https://metadata.un.org/sdg/16","display_name":"Peace, Justice and strong institutions","score":0.7819623947143555}],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":57,"referenced_works":["https://openalex.org/W33891176","https://openalex.org/W59413458","https://openalex.org/W118524399","https://openalex.org/W140941361","https://openalex.org/W1938670616","https://openalex.org/W1949226555","https://openalex.org/W1963633984","https://openalex.org/W1972204606","https://openalex.org/W1978596781","https://openalex.org/W1981638661","https://openalex.org/W1993284592","https://openalex.org/W2000555506","https://openalex.org/W2007512400","https://openalex.org/W2021662179","https://openalex.org/W2023700586","https://openalex.org/W2024691368","https://openalex.org/W2029194819","https://openalex.org/W2060362698","https://openalex.org/W2063562463","https://openalex.org/W2066844336","https://openalex.org/W2073176752","https://openalex.org/W2076489324","https://openalex.org/W2080612551","https://openalex.org/W2085262238","https://openalex.org/W2091333932","https://openalex.org/W2093477605","https://openalex.org/W2096091961","https://openalex.org/W2099609516","https://openalex.org/W2107602771","https://openalex.org/W2116438429","https://openalex.org/W2119784040","https://openalex.org/W2121100697","https://openalex.org/W2123803464","https://openalex.org/W2128845303","https://openalex.org/W2129087050","https://openalex.org/W2140264118","https://openalex.org/W2152893158","https://openalex.org/W2602737734","https://openalex.org/W2755429800","https://openalex.org/W2989974106","https://openalex.org/W3047036704","https://openalex.org/W3082177584","https://openalex.org/W3101872407","https://openalex.org/W3122867360","https://openalex.org/W3209095470","https://openalex.org/W3210486551","https://openalex.org/W4225133353","https://openalex.org/W4236446730","https://openalex.org/W4237854034","https://openalex.org/W4241587342","https://openalex.org/W4243534649","https://openalex.org/W4252707658","https://openalex.org/W4386658036","https://openalex.org/W4392566325","https://openalex.org/W4399364550","https://openalex.org/W4399927860","https://openalex.org/W4410643397"],"related_works":[],"abstract_inverted_index":{"Determining":[0],"one-dimensional":[1,55,70],"utility":[2,9,27,56,71,89,105,141,155,159,215,249,268],"functions":[3,57,72,160,216,269],"for":[4,229,236],"each":[5],"objective":[6],"in":[7,34,79,143,172,183,199,242],"multiattribute":[8],"theory":[10],"takes":[11],"time":[12,278],"and":[13,44,98,146,257,279],"effort":[14],"from":[15,246],"decision":[16,124,223,273],"makers.":[17],"They":[18],"must":[19],"consider":[20],"including":[21],"a":[22,35,51,165],"decreasing":[23],"or":[24],"increasing":[25],"marginal":[26],"and/or":[28],"their":[29,91,144],"relative":[30],"risk":[31],"attitude,":[32],"resulting":[33],"nonlinear":[36,140,154],"shape.":[37],"This":[38],"assessment":[39],"is":[40,270,286],"prone":[41],"to":[42,48,164,220,276],"errors":[43],"distortions.":[45],"We":[46,112],"analyze":[47],"what":[49],"extent":[50],"linear":[52,110,267],"transformation":[53],"of":[54,61,69,77,87,96,101,107,133,148,168,174,180,185,190],"compromises":[58],"the":[59,62,67,74,85,94,99,123,134,169,175,186,191,193,200,214,222,237,255],"quality":[60],"decision.":[63],"Therefore,":[64],"we":[65,211],"examine":[66,113],"impact":[68,92],"on":[73,82,93,208],"final":[75],"ranking":[76,95],"alternatives":[78,103,108,181,203,260],"practice,":[80],"focusing":[81],"three":[83,202],"aspects:":[84],"use":[86],"(non)linear":[88],"functions,":[90],"alternatives,":[97],"stability":[100],"best":[102,170,194,238,256,259],"concerning":[104],"differences":[106],"assuming":[109,266],"transformation.":[111],"2,536":[114],"carefully":[115],"modeled":[116],"personal":[117],"decisions":[118],"analyzed":[119],"by":[120],"students":[121],"with":[122,153,161],"support":[125],"tool":[126],"Entscheidungsnavi.":[127],"Our":[128],"results":[129],"show":[130],"that":[131],"95.9%":[132],"participants":[135],"used":[136],"at":[137,288],"least":[138],"one":[139],"function":[142],"decision,":[145],"76.4%":[147],"all":[149],"objectives":[150],"were":[151],"evaluated":[152],"functions.":[156],"Simplifying":[157],"preference-accurate":[158],"linearization":[162],"led":[163],"rank":[166,234],"reversal":[167,235],"alternative":[171,195,239],"15.5%":[173],"decisions.":[176,187,231],"The":[177,283],"top-three":[178],"set":[179,245],"changed":[182],"14%":[184],"In":[188,263],"98.8%":[189],"decisions,":[192],"could":[196],"be":[197],"found":[198],"top":[201],"ranked":[204],"under":[205,261],"linearity.":[206,262],"Based":[207],"our":[209,243],"results,":[210],"recommend":[212],"determining":[213],"preference-accurately":[217],"using":[218],"(non)linearity":[219],"model":[221],"as":[224,226],"precisely":[225],"possible,":[227],"especially":[228],"important":[230],"However,":[232],"no":[233],"was":[240],"detected":[241],"data":[244],"an":[247],"absolute":[248],"difference":[250],"greater":[251],"than":[252],"0.27":[253],"between":[254],"second":[258],"these":[264],"cases,":[265],"useful":[271],"if":[272],"makers":[274],"want":[275],"save":[277],"effort.":[280],"Supplemental":[281],"Material:":[282],"online":[284],"appendix":[285],"available":[287],"https://doi.org/10.1287/deca.2024.0317":[289],".":[290]},"counts_by_year":[],"updated_date":"2026-05-21T06:26:12.895304","created_date":"2025-12-10T00:00:00"}