{"id":"https://openalex.org/W2095128707","doi":"https://doi.org/10.1142/s0217595913500085","title":"A NEW RANKING APPROACH WITH A MODIFIED CROSS EVALUATION MATRIX","display_name":"A NEW RANKING APPROACH WITH A MODIFIED CROSS EVALUATION MATRIX","publication_year":2013,"publication_date":"2013-07-05","ids":{"openalex":"https://openalex.org/W2095128707","doi":"https://doi.org/10.1142/s0217595913500085","mag":"2095128707"},"language":"en","primary_location":{"id":"doi:10.1142/s0217595913500085","is_oa":false,"landing_page_url":"https://doi.org/10.1142/s0217595913500085","pdf_url":null,"source":{"id":"https://openalex.org/S1254427","display_name":"Asia Pacific Journal of Operational Research","issn_l":"0217-5959","issn":["0217-5959","1793-7019"],"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":"Asia-Pacific Journal of Operational Research","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/A5111647097","display_name":"Byung Ho Jeong","orcid":null},"institutions":[{"id":"https://openalex.org/I80611190","display_name":"Jeonbuk National University","ror":"https://ror.org/05q92br09","country_code":"KR","type":"education","lineage":["https://openalex.org/I80611190"]}],"countries":["KR"],"is_corresponding":true,"raw_author_name":"BYUNG HO JEONG","raw_affiliation_strings":["Department of Industrial and Information Systems Engineering, Chonbuk Universit, 664-14 1GA, Deokjin-Dong, Jeonju-City, Jeonbuk, 561-756, Korea"],"affiliations":[{"raw_affiliation_string":"Department of Industrial and Information Systems Engineering, Chonbuk Universit, 664-14 1GA, Deokjin-Dong, Jeonju-City, Jeonbuk, 561-756, Korea","institution_ids":["https://openalex.org/I80611190"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5090254823","display_name":"Changsoo Ok","orcid":null},"institutions":[{"id":"https://openalex.org/I94588446","display_name":"Hongik University","ror":"https://ror.org/00egdv862","country_code":"KR","type":"education","lineage":["https://openalex.org/I94588446"]}],"countries":["KR"],"is_corresponding":false,"raw_author_name":"CHANG-SOO OK","raw_affiliation_strings":["Department of Industrial Engineering, Hongik University, 72-1, Sangsu-Dong, Mapo-Gu, Seoul, 121-791, Korea"],"affiliations":[{"raw_affiliation_string":"Department of Industrial Engineering, Hongik University, 72-1, Sangsu-Dong, Mapo-Gu, Seoul, 121-791, Korea","institution_ids":["https://openalex.org/I94588446"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5111647097"],"corresponding_institution_ids":["https://openalex.org/I80611190"],"apc_list":null,"apc_paid":null,"fwci":1.2803,"has_fulltext":false,"cited_by_count":12,"citation_normalized_percentile":{"value":0.83536513,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":97},"biblio":{"volume":"30","issue":"04","first_page":"1350008","last_page":"1350008"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10357","display_name":"Efficiency Analysis Using DEA","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/T10357","display_name":"Efficiency Analysis Using DEA","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/T10050","display_name":"Multi-Criteria Decision Making","score":0.9929999709129333,"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/T10841","display_name":"Economic and Environmental Valuation","score":0.9506000280380249,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/ranking","display_name":"Ranking (information retrieval)","score":0.8424372673034668},{"id":"https://openalex.org/keywords/matrix","display_name":"Matrix (chemical analysis)","score":0.6696828603744507},{"id":"https://openalex.org/keywords/data-envelopment-analysis","display_name":"Data envelopment analysis","score":0.6673951745033264},{"id":"https://openalex.org/keywords/rank","display_name":"Rank (graph theory)","score":0.6672655940055847},{"id":"https://openalex.org/keywords/context","display_name":"Context (archaeology)","score":0.661757230758667},{"id":"https://openalex.org/keywords/consistency","display_name":"Consistency (knowledge bases)","score":0.6426041722297668},{"id":"https://openalex.org/keywords/simple","display_name":"Simple (philosophy)","score":0.521390974521637},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.4902196526527405},{"id":"https://openalex.org/keywords/diagonal-matrix","display_name":"Diagonal matrix","score":0.4733709692955017},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.4653981626033783},{"id":"https://openalex.org/keywords/diagonal","display_name":"Diagonal","score":0.43177956342697144},{"id":"https://openalex.org/keywords/efficiency","display_name":"Efficiency","score":0.41755348443984985},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.3847692608833313},{"id":"https://openalex.org/keywords/statistics","display_name":"Statistics","score":0.26385217905044556},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.15132582187652588},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.07886436581611633}],"concepts":[{"id":"https://openalex.org/C189430467","wikidata":"https://www.wikidata.org/wiki/Q7293293","display_name":"Ranking (information retrieval)","level":2,"score":0.8424372673034668},{"id":"https://openalex.org/C106487976","wikidata":"https://www.wikidata.org/wiki/Q685816","display_name":"Matrix (chemical analysis)","level":2,"score":0.6696828603744507},{"id":"https://openalex.org/C22088475","wikidata":"https://www.wikidata.org/wiki/Q647974","display_name":"Data envelopment analysis","level":2,"score":0.6673951745033264},{"id":"https://openalex.org/C164226766","wikidata":"https://www.wikidata.org/wiki/Q7293202","display_name":"Rank (graph theory)","level":2,"score":0.6672655940055847},{"id":"https://openalex.org/C2779343474","wikidata":"https://www.wikidata.org/wiki/Q3109175","display_name":"Context (archaeology)","level":2,"score":0.661757230758667},{"id":"https://openalex.org/C2776436953","wikidata":"https://www.wikidata.org/wiki/Q5163215","display_name":"Consistency (knowledge bases)","level":2,"score":0.6426041722297668},{"id":"https://openalex.org/C2780586882","wikidata":"https://www.wikidata.org/wiki/Q7520643","display_name":"Simple (philosophy)","level":2,"score":0.521390974521637},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.4902196526527405},{"id":"https://openalex.org/C113313756","wikidata":"https://www.wikidata.org/wiki/Q332791","display_name":"Diagonal matrix","level":3,"score":0.4733709692955017},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.4653981626033783},{"id":"https://openalex.org/C130367717","wikidata":"https://www.wikidata.org/wiki/Q189791","display_name":"Diagonal","level":2,"score":0.43177956342697144},{"id":"https://openalex.org/C17648541","wikidata":"https://www.wikidata.org/wiki/Q2265984","display_name":"Efficiency","level":3,"score":0.41755348443984985},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.3847692608833313},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.26385217905044556},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.15132582187652588},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.07886436581611633},{"id":"https://openalex.org/C185429906","wikidata":"https://www.wikidata.org/wiki/Q1130160","display_name":"Estimator","level":2,"score":0.0},{"id":"https://openalex.org/C111472728","wikidata":"https://www.wikidata.org/wiki/Q9471","display_name":"Epistemology","level":1,"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/C86803240","wikidata":"https://www.wikidata.org/wiki/Q420","display_name":"Biology","level":0,"score":0.0},{"id":"https://openalex.org/C151730666","wikidata":"https://www.wikidata.org/wiki/Q7205","display_name":"Paleontology","level":1,"score":0.0},{"id":"https://openalex.org/C159985019","wikidata":"https://www.wikidata.org/wiki/Q181790","display_name":"Composite material","level":1,"score":0.0},{"id":"https://openalex.org/C138885662","wikidata":"https://www.wikidata.org/wiki/Q5891","display_name":"Philosophy","level":0,"score":0.0},{"id":"https://openalex.org/C192562407","wikidata":"https://www.wikidata.org/wiki/Q228736","display_name":"Materials science","level":0,"score":0.0}],"mesh":[],"locations_count":3,"locations":[{"id":"doi:10.1142/s0217595913500085","is_oa":false,"landing_page_url":"https://doi.org/10.1142/s0217595913500085","pdf_url":null,"source":{"id":"https://openalex.org/S1254427","display_name":"Asia Pacific Journal of Operational Research","issn_l":"0217-5959","issn":["0217-5959","1793-7019"],"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":"Asia-Pacific Journal of Operational Research","raw_type":"journal-article"},{"id":"pmh:oai:RePEc:wsi:apjorx:v:30:y:2013:i:04:n:s0217595913500085","is_oa":false,"landing_page_url":"http://www.worldscientific.com/doi/abs/10.1142/S0217595913500085","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"},{"id":"pmh:oai:RePEc:wsi:apjorx:v:30:y:2013:i:04:p:1350008-1-1350008-17","is_oa":false,"landing_page_url":"http://www.worldscinet.com/cgi-bin/details.cgi?type=html&id=pii:S0217595913500085","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":"","raw_type":"article"}],"best_oa_location":null,"sustainable_development_goals":[{"id":"https://metadata.un.org/sdg/10","display_name":"Reduced inequalities","score":0.6200000047683716}],"awards":[],"funders":[{"id":"https://openalex.org/F4320322120","display_name":"National Research Foundation of Korea","ror":"https://ror.org/013aysd81"},{"id":"https://openalex.org/F4320337407","display_name":"Division of Human Resource Development","ror":"https://ror.org/03mamvh39"}],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":20,"referenced_works":["https://openalex.org/W1600537614","https://openalex.org/W1985514943","https://openalex.org/W1989056438","https://openalex.org/W2012651708","https://openalex.org/W2024700013","https://openalex.org/W2035330981","https://openalex.org/W2042168315","https://openalex.org/W2043513935","https://openalex.org/W2055437020","https://openalex.org/W2076452041","https://openalex.org/W2110250287","https://openalex.org/W2124379907","https://openalex.org/W2139733414","https://openalex.org/W2163504867","https://openalex.org/W2267298282","https://openalex.org/W2949173247","https://openalex.org/W3015733198","https://openalex.org/W3015962962","https://openalex.org/W4236154091","https://openalex.org/W4301891957"],"related_works":["https://openalex.org/W2035423388","https://openalex.org/W312923485","https://openalex.org/W2285000485","https://openalex.org/W2041365066","https://openalex.org/W2989675511","https://openalex.org/W3117803693","https://openalex.org/W2120745168","https://openalex.org/W2169049974","https://openalex.org/W2043018577","https://openalex.org/W2354788275"],"abstract_inverted_index":{"Cross":[0],"evaluation":[1,19,63,119],"matrix":[2,20,64,69,98,110,131],"was":[3],"suggested":[4,130],"to":[5,91,144,171,185,192],"resolve":[6],"a":[7,60,180],"ranking":[8,160,177,194],"problem":[9],"in":[10,93,134,162],"the":[11,44,55,85,96,101,116,122,129,146,149,163,176],"data":[12],"envelopment":[13],"analysis":[14],"(DEA)":[15],"context.":[16,165],"The":[17,67,108],"cross":[18,62,118],"is":[21,65,142,153,183,190],"composed":[22],"of":[23,30,43,46,54,58,71,103,105,125,137,148,175],"simple":[24,36],"efficiency":[25,37,56,86,104,136],"and":[26,78],"cross-efficiency":[27],"(CE)":[28],"values":[29,74,80,87],"decision":[31],"making":[32],"units":[33],"(DMUs).":[34],"However,":[35],"cannot":[38],"discriminate":[39],"efficient":[40,106],"DMUs":[41,126],"because":[42],"nature":[45],"basic":[47],"DEA":[48,164],"models.":[49],"To":[50],"make":[51],"complete":[52],"use":[53],"information":[57],"DMUs,":[59],"modified":[61,68],"proposed.":[66],"consists":[70],"super-efficiency":[72],"(SE)":[73],"for":[75,81],"diagonal":[76],"elements":[77],"CE":[79],"nondiagonal":[82],"elements.":[83],"As":[84],"are":[88,169],"not":[89],"limited":[90],"\"1\"":[92],"SE":[94],"approach,":[95],"proposed":[97,109,150],"can":[99,111],"explain":[100,186],"difference":[102],"DMUs.":[107,138],"be":[112],"more":[113],"accurate":[114],"than":[115],"original":[117],"matrix.":[120],"Consequently,":[121],"rank":[123,173],"order":[124],"generated":[127],"by":[128,155],"reflects":[132],"differences":[133],"relative":[135],"A":[139],"numerical":[140],"example":[141],"given":[143],"show":[145],"superiority":[147],"approach.":[151],"This":[152],"done":[154],"comparing":[156],"with":[157],"other":[158],"available":[159],"methods":[161],"Several":[166],"distance":[167],"measures":[168],"utilized":[170],"compare":[172],"consistency":[174],"methods.":[178],"Finally,":[179],"case":[181],"study":[182],"presented":[184],"how":[187],"our":[188],"approach":[189],"applied":[191],"real":[193],"problems.":[195]},"counts_by_year":[{"year":2022,"cited_by_count":2},{"year":2020,"cited_by_count":2},{"year":2019,"cited_by_count":1},{"year":2018,"cited_by_count":3},{"year":2017,"cited_by_count":1},{"year":2016,"cited_by_count":1},{"year":2014,"cited_by_count":2}],"updated_date":"2026-04-05T17:49:38.594831","created_date":"2025-10-10T00:00:00"}