{"id":"https://openalex.org/W1980940798","doi":"https://doi.org/10.1109/tit.2014.2345760","title":"An Axiomatic Approach to Constructing Distances for Rank Comparison and Aggregation","display_name":"An Axiomatic Approach to Constructing Distances for Rank Comparison and Aggregation","publication_year":2014,"publication_date":"2014-08-07","ids":{"openalex":"https://openalex.org/W1980940798","doi":"https://doi.org/10.1109/tit.2014.2345760","mag":"1980940798"},"language":"en","primary_location":{"id":"doi:10.1109/tit.2014.2345760","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tit.2014.2345760","pdf_url":null,"source":{"id":"https://openalex.org/S4502562","display_name":"IEEE Transactions on Information Theory","issn_l":"0018-9448","issn":["0018-9448","1557-9654"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319808","host_organization_name":"Institute of Electrical and Electronics Engineers","host_organization_lineage":["https://openalex.org/P4310319808"],"host_organization_lineage_names":["Institute of Electrical and Electronics Engineers"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"IEEE Transactions on Information Theory","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/A5011621481","display_name":"Farzad Farnoud","orcid":"https://orcid.org/0000-0002-8684-4487"},"institutions":[{"id":"https://openalex.org/I122411786","display_name":"California Institute of Technology","ror":"https://ror.org/05dxps055","country_code":"US","type":"education","lineage":["https://openalex.org/I122411786"]},{"id":"https://openalex.org/I157725225","display_name":"University of Illinois Urbana-Champaign","ror":"https://ror.org/047426m28","country_code":"US","type":"education","lineage":["https://openalex.org/I157725225"]}],"countries":["US"],"is_corresponding":true,"raw_author_name":"Farzad Farnoud Hassanzadeh","raw_affiliation_strings":["Department of Electrical Engineering, California Institute of Technology, Pasadena, CA, USA","Department of Electrical and Computer Engineering, University of Illinois at Urbana-Champaign, Urbana, IL, USA"],"affiliations":[{"raw_affiliation_string":"Department of Electrical Engineering, California Institute of Technology, Pasadena, CA, USA","institution_ids":["https://openalex.org/I122411786"]},{"raw_affiliation_string":"Department of Electrical and Computer Engineering, University of Illinois at Urbana-Champaign, Urbana, IL, USA","institution_ids":["https://openalex.org/I157725225"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5084947882","display_name":"Olgica Milenkovi\u0107","orcid":"https://orcid.org/0000-0002-1871-4912"},"institutions":[{"id":"https://openalex.org/I157725225","display_name":"University of Illinois Urbana-Champaign","ror":"https://ror.org/047426m28","country_code":"US","type":"education","lineage":["https://openalex.org/I157725225"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Olgica Milenkovic","raw_affiliation_strings":["Department of Electrical and Computer Engineering, University of Illinois at Urbana-Champaign, Urbana, IL, USA"],"affiliations":[{"raw_affiliation_string":"Department of Electrical and Computer Engineering, University of Illinois at Urbana-Champaign, Urbana, IL, USA","institution_ids":["https://openalex.org/I157725225"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5011621481"],"corresponding_institution_ids":["https://openalex.org/I122411786","https://openalex.org/I157725225"],"apc_list":null,"apc_paid":null,"fwci":4.2041,"has_fulltext":false,"cited_by_count":27,"citation_normalized_percentile":{"value":0.93619984,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":89,"max":99},"biblio":{"volume":"60","issue":"10","first_page":"6417","last_page":"6439"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10050","display_name":"Multi-Criteria Decision Making","score":0.9975000023841858,"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":0.9975000023841858,"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":0.9973000288009644,"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/T11106","display_name":"Data Management and Algorithms","score":0.9932000041007996,"subfield":{"id":"https://openalex.org/subfields/1711","display_name":"Signal Processing"},"field":{"id":"https://openalex.org/fields/17","display_name":"Computer Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/markov-chain","display_name":"Markov chain","score":0.6836876273155212},{"id":"https://openalex.org/keywords/pagerank","display_name":"PageRank","score":0.647055447101593},{"id":"https://openalex.org/keywords/distance-measures","display_name":"Distance measures","score":0.5692089796066284},{"id":"https://openalex.org/keywords/axiom","display_name":"Axiom","score":0.5633704662322998},{"id":"https://openalex.org/keywords/rank","display_name":"Rank (graph theory)","score":0.5185794830322266},{"id":"https://openalex.org/keywords/ranking","display_name":"Ranking (information retrieval)","score":0.5083670020103455},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.5079606175422668},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.46747443079948425},{"id":"https://openalex.org/keywords/measure","display_name":"Measure (data warehouse)","score":0.4446756839752197},{"id":"https://openalex.org/keywords/relevance","display_name":"Relevance (law)","score":0.44014400243759155},{"id":"https://openalex.org/keywords/axiomatic-system","display_name":"Axiomatic system","score":0.4275622069835663},{"id":"https://openalex.org/keywords/theoretical-computer-science","display_name":"Theoretical computer science","score":0.4235646724700928},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.4005226492881775},{"id":"https://openalex.org/keywords/data-mining","display_name":"Data mining","score":0.3092225193977356},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.252738893032074},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.23940390348434448},{"id":"https://openalex.org/keywords/statistics","display_name":"Statistics","score":0.16583427786827087}],"concepts":[{"id":"https://openalex.org/C98763669","wikidata":"https://www.wikidata.org/wiki/Q176645","display_name":"Markov chain","level":2,"score":0.6836876273155212},{"id":"https://openalex.org/C2779172887","wikidata":"https://www.wikidata.org/wiki/Q184316","display_name":"PageRank","level":2,"score":0.647055447101593},{"id":"https://openalex.org/C2639959","wikidata":"https://www.wikidata.org/wiki/Q1344778","display_name":"Distance measures","level":2,"score":0.5692089796066284},{"id":"https://openalex.org/C167729594","wikidata":"https://www.wikidata.org/wiki/Q17736","display_name":"Axiom","level":2,"score":0.5633704662322998},{"id":"https://openalex.org/C164226766","wikidata":"https://www.wikidata.org/wiki/Q7293202","display_name":"Rank (graph theory)","level":2,"score":0.5185794830322266},{"id":"https://openalex.org/C189430467","wikidata":"https://www.wikidata.org/wiki/Q7293293","display_name":"Ranking (information retrieval)","level":2,"score":0.5083670020103455},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5079606175422668},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.46747443079948425},{"id":"https://openalex.org/C2780009758","wikidata":"https://www.wikidata.org/wiki/Q6804172","display_name":"Measure (data warehouse)","level":2,"score":0.4446756839752197},{"id":"https://openalex.org/C158154518","wikidata":"https://www.wikidata.org/wiki/Q7310970","display_name":"Relevance (law)","level":2,"score":0.44014400243759155},{"id":"https://openalex.org/C125773388","wikidata":"https://www.wikidata.org/wiki/Q792542","display_name":"Axiomatic system","level":3,"score":0.4275622069835663},{"id":"https://openalex.org/C80444323","wikidata":"https://www.wikidata.org/wiki/Q2878974","display_name":"Theoretical computer science","level":1,"score":0.4235646724700928},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.4005226492881775},{"id":"https://openalex.org/C124101348","wikidata":"https://www.wikidata.org/wiki/Q172491","display_name":"Data mining","level":1,"score":0.3092225193977356},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.252738893032074},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.23940390348434448},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.16583427786827087},{"id":"https://openalex.org/C17744445","wikidata":"https://www.wikidata.org/wiki/Q36442","display_name":"Political science","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/C199539241","wikidata":"https://www.wikidata.org/wiki/Q7748","display_name":"Law","level":1,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1109/tit.2014.2345760","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tit.2014.2345760","pdf_url":null,"source":{"id":"https://openalex.org/S4502562","display_name":"IEEE Transactions on Information Theory","issn_l":"0018-9448","issn":["0018-9448","1557-9654"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319808","host_organization_name":"Institute of Electrical and Electronics Engineers","host_organization_lineage":["https://openalex.org/P4310319808"],"host_organization_lineage_names":["Institute of Electrical and Electronics Engineers"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"IEEE Transactions on Information Theory","raw_type":"journal-article"},{"id":"pmh:oai:authors.library.caltech.edu:50730","is_oa":false,"landing_page_url":"https://resolver.caltech.edu/CaltechAUTHORS:20141023-103733565","pdf_url":null,"source":{"id":"https://openalex.org/S4306402161","display_name":"CaltechAUTHORS (California Institute of Technology)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I122411786","host_organization_name":"California Institute of Technology","host_organization_lineage":["https://openalex.org/I122411786"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":"Article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[{"id":"https://openalex.org/G4740866771","display_name":null,"funder_award_id":"CCF-0809895","funder_id":"https://openalex.org/F4320306076","funder_display_name":"National Science Foundation"},{"id":"https://openalex.org/G8270584549","display_name":null,"funder_award_id":"CCF-0821910","funder_id":"https://openalex.org/F4320306076","funder_display_name":"National Science Foundation"}],"funders":[{"id":"https://openalex.org/F4320306076","display_name":"National Science Foundation","ror":"https://ror.org/021nxhr62"}],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":48,"referenced_works":["https://openalex.org/W87579370","https://openalex.org/W182456511","https://openalex.org/W344290530","https://openalex.org/W602980269","https://openalex.org/W1493342333","https://openalex.org/W1499300513","https://openalex.org/W1552227627","https://openalex.org/W1553145333","https://openalex.org/W1596709027","https://openalex.org/W1707848225","https://openalex.org/W1729393350","https://openalex.org/W1966835268","https://openalex.org/W1969261755","https://openalex.org/W1971040550","https://openalex.org/W1978753906","https://openalex.org/W1986926488","https://openalex.org/W2000851114","https://openalex.org/W2005913625","https://openalex.org/W2015723653","https://openalex.org/W2019370312","https://openalex.org/W2025440555","https://openalex.org/W2027752285","https://openalex.org/W2028664571","https://openalex.org/W2041071620","https://openalex.org/W2041282815","https://openalex.org/W2049706221","https://openalex.org/W2051834357","https://openalex.org/W2069870183","https://openalex.org/W2076177384","https://openalex.org/W2084224084","https://openalex.org/W2097433657","https://openalex.org/W2104822358","https://openalex.org/W2124379907","https://openalex.org/W2125453995","https://openalex.org/W2157985249","https://openalex.org/W2160266360","https://openalex.org/W2318031348","https://openalex.org/W2321316659","https://openalex.org/W2325963232","https://openalex.org/W2736963878","https://openalex.org/W4238450186","https://openalex.org/W4247128285","https://openalex.org/W4256046779","https://openalex.org/W4285719527","https://openalex.org/W6629624487","https://openalex.org/W6632995225","https://openalex.org/W6642671179","https://openalex.org/W6655318321"],"related_works":["https://openalex.org/W1771651560","https://openalex.org/W2386897142","https://openalex.org/W4300725361","https://openalex.org/W1605727975","https://openalex.org/W2041647433","https://openalex.org/W4232127999","https://openalex.org/W2900609923","https://openalex.org/W4289976264","https://openalex.org/W3101572115","https://openalex.org/W2127270425"],"abstract_inverted_index":{"We":[0,93],"propose":[1],"a":[2,56,105,115],"new":[3],"family":[4],"of":[5,20,25,40,58,88,108,125],"distance":[6,34,44,71,102,111],"measures":[7,72,103],"on":[8,99],"rankings,":[9],"derived":[10],"through":[11],"an":[12,95],"axiomatic":[13],"approach,":[14],"that":[15],"consider":[16],"the":[17,21,41,46,70,75,126,130],"nonuniform":[18],"relevance":[19],"top":[22],"and":[23,28,45,49,63,73,85],"bottom":[24],"ordered":[26],"lists":[27],"similarities":[29],"between":[30],"candidates.":[31],"The":[32],"proposed":[33],"functions":[35],"include":[36],"specialized":[37],"weighted":[38,89,101,132],"versions":[39],"Kendall":[42],"\u03c4":[43],"Cayley":[47],"distance,":[48],"are":[50],"suitable":[51],"for":[52,78],"comparing":[53],"rankings":[54],"in":[55],"number":[57],"applications,":[59,80],"including":[60],"information":[61],"retrieval":[62],"rank":[64,91],"aggregation.":[65,92],"In":[66],"addition":[67],"to":[68],"proposing":[69],"providing":[74],"theoretical":[76],"underpinnings":[77],"their":[79],"we":[81],"also":[82],"analyze":[83],"algorithmic":[84],"computational":[86],"aspects":[87],"distance-based":[90],"present":[94],"aggregation":[96],"method":[97,118],"based":[98],"approximating":[100],"by":[104,120],"generalized":[106],"version":[107],"Spearman's":[109],"footrule":[110],"as":[112,114],"well":[113],"Markov":[116,127],"chain":[117,128],"inspired":[119],"PageRank,":[121],"where":[122],"transition":[123],"probabilities":[124],"reflect":[129],"chosen":[131],"distances.":[133]},"counts_by_year":[{"year":2025,"cited_by_count":3},{"year":2023,"cited_by_count":4},{"year":2022,"cited_by_count":2},{"year":2021,"cited_by_count":1},{"year":2020,"cited_by_count":1},{"year":2019,"cited_by_count":4},{"year":2018,"cited_by_count":2},{"year":2017,"cited_by_count":1},{"year":2016,"cited_by_count":2},{"year":2015,"cited_by_count":6},{"year":2014,"cited_by_count":1}],"updated_date":"2026-04-17T18:11:37.981687","created_date":"2025-10-10T00:00:00"}