{"id":"https://openalex.org/W2920201382","doi":"https://doi.org/10.1142/s179300571950011x","title":"Choice Functions Generated by Mallows and Plackett\u2013Luce Relations","display_name":"Choice Functions Generated by Mallows and Plackett\u2013Luce Relations","publication_year":2019,"publication_date":"2019-02-28","ids":{"openalex":"https://openalex.org/W2920201382","doi":"https://doi.org/10.1142/s179300571950011x","mag":"2920201382"},"language":"en","primary_location":{"id":"doi:10.1142/s179300571950011x","is_oa":false,"landing_page_url":"https://doi.org/10.1142/s179300571950011x","pdf_url":null,"source":{"id":"https://openalex.org/S135331755","display_name":"New Mathematics and Natural Computation","issn_l":"1793-0057","issn":["1793-0057","1793-7027"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319815","host_organization_name":"World Scientific","host_organization_lineage":["https://openalex.org/P4310319815"],"host_organization_lineage_names":["World Scientific"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"New Mathematics and Natural Computation","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/A5014783569","display_name":"Vidal Kamdem Tagne","orcid":null},"institutions":[{"id":"https://openalex.org/I163423212","display_name":"University of Douala","ror":"https://ror.org/02zr5jr81","country_code":"CM","type":"education","lineage":["https://openalex.org/I163423212"]},{"id":"https://openalex.org/I4210155549","display_name":"Laboratoire de Math\u00e9matiques Blaise Pascal","ror":"https://ror.org/05sd5r855","country_code":"FR","type":"facility","lineage":["https://openalex.org/I1294671590","https://openalex.org/I1294671590","https://openalex.org/I198244214","https://openalex.org/I4210141950","https://openalex.org/I4210155549"]}],"countries":["CM","FR"],"is_corresponding":false,"raw_author_name":"Vidal Kamdem Tagne","raw_affiliation_strings":["Laboratoire de Math\u00e9matiques, Universit\u00e9 de Douala, B. P. 24157 Douala, Cameroun"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Laboratoire de Math\u00e9matiques, Universit\u00e9 de Douala, B. P. 24157 Douala, Cameroun","institution_ids":["https://openalex.org/I163423212","https://openalex.org/I4210155549"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5075678710","display_name":"Sim\u00e9on Fotso","orcid":"https://orcid.org/0000-0001-8451-1147"},"institutions":[{"id":"https://openalex.org/I1331070479","display_name":"Universit\u00e9 de Yaound\u00e9 I","ror":"https://ror.org/022zbs961","country_code":"CM","type":"education","lineage":["https://openalex.org/I1331070479"]}],"countries":["CM"],"is_corresponding":false,"raw_author_name":"Sim\u00e9on Fotso","raw_affiliation_strings":["ENS Yaound\u00e9 - Universit\u00e9 de Yaound\u00e9 I, B. P. 47 Yaound\u00e9, Cameroun"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"ENS Yaound\u00e9 - Universit\u00e9 de Yaound\u00e9 I, B. P. 47 Yaound\u00e9, Cameroun","institution_ids":["https://openalex.org/I1331070479"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5061223595","display_name":"Louis Aim\u00e9 Fono","orcid":"https://orcid.org/0000-0002-7315-0427"},"institutions":[{"id":"https://openalex.org/I163423212","display_name":"University of Douala","ror":"https://ror.org/02zr5jr81","country_code":"CM","type":"education","lineage":["https://openalex.org/I163423212"]}],"countries":["CM"],"is_corresponding":true,"raw_author_name":"Louis Aim\u00e9 Fono","raw_affiliation_strings":["Universit\u00e9 de Douala, B. P. 24157 Douala, Cameroun"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Universit\u00e9 de Douala, B. P. 24157 Douala, Cameroun","institution_ids":["https://openalex.org/I163423212"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5059439673","display_name":"Eyke H\u00fcllermeier","orcid":"https://orcid.org/0000-0002-9944-4108"},"institutions":[{"id":"https://openalex.org/I206945453","display_name":"Paderborn University","ror":"https://ror.org/058kzsd48","country_code":"DE","type":"education","lineage":["https://openalex.org/I206945453"]}],"countries":["DE"],"is_corresponding":false,"raw_author_name":"Eyke H\u00fcllermeier","raw_affiliation_strings":["Paderborn University, Germany"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Paderborn University, Germany","institution_ids":["https://openalex.org/I206945453"]}]}],"institutions":[],"countries_distinct_count":3,"institutions_distinct_count":4,"corresponding_author_ids":["https://openalex.org/A5061223595"],"corresponding_institution_ids":["https://openalex.org/I163423212"],"apc_list":null,"apc_paid":null,"fwci":0.2058,"has_fulltext":false,"cited_by_count":1,"citation_normalized_percentile":{"value":0.56208597,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":94},"biblio":{"volume":"15","issue":"02","first_page":"191","last_page":"213"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10050","display_name":"Multi-Criteria Decision Making","score":0.9979000091552734,"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":0.9979000091552734,"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/T11871","display_name":"Advanced Statistical Methods and Models","score":0.9830999970436096,"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/T12135","display_name":"Fuzzy Systems and Optimization","score":0.9732000231742859,"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/transitive-relation","display_name":"Transitive relation","score":0.727997899055481},{"id":"https://openalex.org/keywords/preference","display_name":"Preference","score":0.7075509428977966},{"id":"https://openalex.org/keywords/pairwise-comparison","display_name":"Pairwise comparison","score":0.6830089092254639},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.6820045709609985},{"id":"https://openalex.org/keywords/rationality","display_name":"Rationality","score":0.6687668561935425},{"id":"https://openalex.org/keywords/preference-relation","display_name":"Preference relation","score":0.633201003074646},{"id":"https://openalex.org/keywords/reciprocal","display_name":"Reciprocal","score":0.6097447872161865},{"id":"https://openalex.org/keywords/consistency","display_name":"Consistency (knowledge bases)","score":0.6087878346443176},{"id":"https://openalex.org/keywords/mathematical-economics","display_name":"Mathematical economics","score":0.5722825527191162},{"id":"https://openalex.org/keywords/rank","display_name":"Rank (graph theory)","score":0.5386599898338318},{"id":"https://openalex.org/keywords/fuzzy-logic","display_name":"Fuzzy logic","score":0.4135363698005676},{"id":"https://openalex.org/keywords/econometrics","display_name":"Econometrics","score":0.3443004786968231},{"id":"https://openalex.org/keywords/statistics","display_name":"Statistics","score":0.32341891527175903},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.2688373923301697},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.23355215787887573},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.18878987431526184},{"id":"https://openalex.org/keywords/epistemology","display_name":"Epistemology","score":0.10466635227203369},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.10295361280441284}],"concepts":[{"id":"https://openalex.org/C191399111","wikidata":"https://www.wikidata.org/wiki/Q64861","display_name":"Transitive relation","level":2,"score":0.727997899055481},{"id":"https://openalex.org/C2781249084","wikidata":"https://www.wikidata.org/wiki/Q908656","display_name":"Preference","level":2,"score":0.7075509428977966},{"id":"https://openalex.org/C184898388","wikidata":"https://www.wikidata.org/wiki/Q1435712","display_name":"Pairwise comparison","level":2,"score":0.6830089092254639},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.6820045709609985},{"id":"https://openalex.org/C201717286","wikidata":"https://www.wikidata.org/wiki/Q938185","display_name":"Rationality","level":2,"score":0.6687668561935425},{"id":"https://openalex.org/C2777062324","wikidata":"https://www.wikidata.org/wiki/Q25036211","display_name":"Preference relation","level":3,"score":0.633201003074646},{"id":"https://openalex.org/C2777742833","wikidata":"https://www.wikidata.org/wiki/Q1964083","display_name":"Reciprocal","level":2,"score":0.6097447872161865},{"id":"https://openalex.org/C2776436953","wikidata":"https://www.wikidata.org/wiki/Q5163215","display_name":"Consistency (knowledge bases)","level":2,"score":0.6087878346443176},{"id":"https://openalex.org/C144237770","wikidata":"https://www.wikidata.org/wiki/Q747534","display_name":"Mathematical economics","level":1,"score":0.5722825527191162},{"id":"https://openalex.org/C164226766","wikidata":"https://www.wikidata.org/wiki/Q7293202","display_name":"Rank (graph theory)","level":2,"score":0.5386599898338318},{"id":"https://openalex.org/C58166","wikidata":"https://www.wikidata.org/wiki/Q224821","display_name":"Fuzzy logic","level":2,"score":0.4135363698005676},{"id":"https://openalex.org/C149782125","wikidata":"https://www.wikidata.org/wiki/Q160039","display_name":"Econometrics","level":1,"score":0.3443004786968231},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.32341891527175903},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.2688373923301697},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.23355215787887573},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.18878987431526184},{"id":"https://openalex.org/C111472728","wikidata":"https://www.wikidata.org/wiki/Q9471","display_name":"Epistemology","level":1,"score":0.10466635227203369},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.10295361280441284},{"id":"https://openalex.org/C138885662","wikidata":"https://www.wikidata.org/wiki/Q5891","display_name":"Philosophy","level":0,"score":0.0},{"id":"https://openalex.org/C41895202","wikidata":"https://www.wikidata.org/wiki/Q8162","display_name":"Linguistics","level":1,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1142/s179300571950011x","is_oa":false,"landing_page_url":"https://doi.org/10.1142/s179300571950011x","pdf_url":null,"source":{"id":"https://openalex.org/S135331755","display_name":"New Mathematics and Natural Computation","issn_l":"1793-0057","issn":["1793-0057","1793-7027"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319815","host_organization_name":"World Scientific","host_organization_lineage":["https://openalex.org/P4310319815"],"host_organization_lineage_names":["World Scientific"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"New Mathematics and Natural Computation","raw_type":"journal-article"},{"id":"pmh:oai:RePEc:wsi:nmncxx:v:15:y:2019:i:02:n:s179300571950011x","is_oa":false,"landing_page_url":"http://www.worldscientific.com/doi/abs/10.1142/S179300571950011X","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":[{"display_name":"Reduced inequalities","score":0.5899999737739563,"id":"https://metadata.un.org/sdg/10"}],"awards":[],"funders":[{"id":"https://openalex.org/F4320320875","display_name":"Deutscher Akademischer Austauschdienst","ror":"https://ror.org/039djdh30"}],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":14,"referenced_works":["https://openalex.org/W43928053","https://openalex.org/W1541230581","https://openalex.org/W1973469080","https://openalex.org/W1998249063","https://openalex.org/W2007822426","https://openalex.org/W2011288965","https://openalex.org/W2033758364","https://openalex.org/W2045562921","https://openalex.org/W2063445365","https://openalex.org/W2092155908","https://openalex.org/W2094914994","https://openalex.org/W2134797645","https://openalex.org/W3015812362","https://openalex.org/W4244394727"],"related_works":["https://openalex.org/W1677394555","https://openalex.org/W3195458204","https://openalex.org/W1947281443","https://openalex.org/W2123627450","https://openalex.org/W2767187055","https://openalex.org/W2167861526","https://openalex.org/W2011503663","https://openalex.org/W2128971439","https://openalex.org/W2379697517","https://openalex.org/W1515213533"],"abstract_inverted_index":{"The":[0],"rationality":[1,120],"and":[2,90,117,121],"consistency":[3,122],"of":[4,38,49,58,102,108],"preference-based":[5],"choice":[6,115],"functions":[7,116],"is":[8],"often":[9],"studied":[10],"for":[11],"(fuzzy)":[12],"preference":[13,39,106],"relations":[14,42,63,81,107],"having":[15],"specific":[16],"properties,":[17],"such":[18],"as":[19,46],"strong":[20],"completeness,":[21],"transitivity,":[22],"or":[23],"certain":[24],"properties":[25],"on":[26,54,69,100],"triplets.":[27],"In":[28],"this":[29,109],"paper,":[30],"we":[31,79,111],"turn":[32],"our":[33],"attention":[34],"to":[35],"another":[36],"type":[37],"relation,":[40],"namely":[41],"that":[43],"are":[44,64,95],"induced":[45,82],"pairwise":[47],"marginal":[48],"an":[50],"underlying":[51,71],"probability":[52,86],"distribution":[53],"complete":[55],"rankings":[56],"(permutations)":[57],"all":[59],"given":[60],"alternatives.":[61],"Such":[62],"necessarily":[65],"reciprocal":[66],"and,":[67],"depending":[68],"the":[70,88,91,98],"distribution,":[72,93],"obey":[73],"additional":[74],"structural":[75],"properties.":[76,123],"More":[77],"specifically,":[78],"study":[80,112],"by":[83],"two":[84],"important":[85],"distributions,":[87],"Mallows":[89],"Plackett\u2013Luce":[92],"which":[94],"well-known":[96],"in":[97],"literature":[99],"statistics":[101],"rank":[103],"data.":[104],"Assuming":[105],"kind,":[110],"seven":[113],"different":[114],"their":[118],"four":[119]},"counts_by_year":[{"year":2020,"cited_by_count":1}],"updated_date":"2026-05-21T06:26:12.895304","created_date":"2025-10-10T00:00:00"}
