{"id":"https://openalex.org/W2805745452","doi":"https://doi.org/10.1142/s0219622018500323","title":"Euclidean Best\u2013Worst Method and Its Application","display_name":"Euclidean Best\u2013Worst Method and Its Application","publication_year":2018,"publication_date":"2018-05-28","ids":{"openalex":"https://openalex.org/W2805745452","doi":"https://doi.org/10.1142/s0219622018500323","mag":"2805745452"},"language":"en","primary_location":{"id":"doi:10.1142/s0219622018500323","is_oa":false,"landing_page_url":"https://doi.org/10.1142/s0219622018500323","pdf_url":null,"source":{"id":"https://openalex.org/S207089700","display_name":"International Journal of Information Technology & Decision Making","issn_l":"0219-6220","issn":["0219-6220","1793-6845"],"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":"International Journal of Information Technology & Decision Making","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/A5069627120","display_name":"H\u00fcseyin Ko\u00e7ak","orcid":"https://orcid.org/0000-0001-9683-6096"},"institutions":[{"id":"https://openalex.org/I48843708","display_name":"Pamukkale University","ror":"https://ror.org/01etz1309","country_code":"TR","type":"education","lineage":["https://openalex.org/I48843708"]}],"countries":["TR"],"is_corresponding":true,"raw_author_name":"Huseyin Kocak","raw_affiliation_strings":["Quantitative Methods Division, Department of Business, Administration, Pamukkale University, 20160 Denizli, Turkey"],"affiliations":[{"raw_affiliation_string":"Quantitative Methods Division, Department of Business, Administration, Pamukkale University, 20160 Denizli, Turkey","institution_ids":["https://openalex.org/I48843708"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5090908908","display_name":"Atalay \u00c7a\u011flar","orcid":"https://orcid.org/0000-0003-4936-5783"},"institutions":[{"id":"https://openalex.org/I48843708","display_name":"Pamukkale University","ror":"https://ror.org/01etz1309","country_code":"TR","type":"education","lineage":["https://openalex.org/I48843708"]}],"countries":["TR"],"is_corresponding":false,"raw_author_name":"Atalay Caglar","raw_affiliation_strings":["Operations Research Division, Department of Econometrics, Pamukkale University, 20160 Denizli, Turkey"],"affiliations":[{"raw_affiliation_string":"Operations Research Division, Department of Econometrics, Pamukkale University, 20160 Denizli, Turkey","institution_ids":["https://openalex.org/I48843708"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5006475754","display_name":"G\u00fclin Zeynep \u00d6zta\u015f","orcid":"https://orcid.org/0000-0002-6901-6559"},"institutions":[{"id":"https://openalex.org/I48843708","display_name":"Pamukkale University","ror":"https://ror.org/01etz1309","country_code":"TR","type":"education","lineage":["https://openalex.org/I48843708"]}],"countries":["TR"],"is_corresponding":false,"raw_author_name":"Gulin Zeynep Oztas","raw_affiliation_strings":["Quantitative Methods Division, Department of Business, Administration, Pamukkale University, 20160 Denizli, Turkey"],"affiliations":[{"raw_affiliation_string":"Quantitative Methods Division, Department of Business, Administration, Pamukkale University, 20160 Denizli, Turkey","institution_ids":["https://openalex.org/I48843708"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5069627120"],"corresponding_institution_ids":["https://openalex.org/I48843708"],"apc_list":null,"apc_paid":null,"fwci":1.9057,"has_fulltext":false,"cited_by_count":18,"citation_normalized_percentile":{"value":0.86847072,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":98},"biblio":{"volume":"17","issue":"05","first_page":"1587","last_page":"1605"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10050","display_name":"Multi-Criteria Decision Making","score":0.9983000159263611,"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":0.9983000159263611,"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/T12709","display_name":"Optimization and Mathematical Programming","score":0.9955999851226807,"subfield":{"id":"https://openalex.org/subfields/2207","display_name":"Control and Systems Engineering"},"field":{"id":"https://openalex.org/fields/22","display_name":"Engineering"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T10963","display_name":"Advanced Optimization Algorithms Research","score":0.9833999872207642,"subfield":{"id":"https://openalex.org/subfields/2612","display_name":"Numerical Analysis"},"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/euclidean-distance","display_name":"Euclidean distance","score":0.7373990416526794},{"id":"https://openalex.org/keywords/euclidean-geometry","display_name":"Euclidean geometry","score":0.708379864692688},{"id":"https://openalex.org/keywords/chebyshev-filter","display_name":"Chebyshev filter","score":0.598630964756012},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.5531517267227173},{"id":"https://openalex.org/keywords/consistency","display_name":"Consistency (knowledge bases)","score":0.5450234413146973},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.5125417709350586},{"id":"https://openalex.org/keywords/chebyshev-polynomials","display_name":"Chebyshev polynomials","score":0.49648386240005493},{"id":"https://openalex.org/keywords/pairwise-comparison","display_name":"Pairwise comparison","score":0.48885053396224976},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.4719754159450531},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.4692912995815277},{"id":"https://openalex.org/keywords/matrix-norm","display_name":"Matrix norm","score":0.4627871811389923},{"id":"https://openalex.org/keywords/norm","display_name":"Norm (philosophy)","score":0.44721344113349915},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.3371295928955078},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.18284863233566284},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.07651224732398987}],"concepts":[{"id":"https://openalex.org/C120174047","wikidata":"https://www.wikidata.org/wiki/Q847073","display_name":"Euclidean distance","level":2,"score":0.7373990416526794},{"id":"https://openalex.org/C129782007","wikidata":"https://www.wikidata.org/wiki/Q162886","display_name":"Euclidean geometry","level":2,"score":0.708379864692688},{"id":"https://openalex.org/C21424316","wikidata":"https://www.wikidata.org/wiki/Q718621","display_name":"Chebyshev filter","level":2,"score":0.598630964756012},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.5531517267227173},{"id":"https://openalex.org/C2776436953","wikidata":"https://www.wikidata.org/wiki/Q5163215","display_name":"Consistency (knowledge bases)","level":2,"score":0.5450234413146973},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.5125417709350586},{"id":"https://openalex.org/C129785596","wikidata":"https://www.wikidata.org/wiki/Q619511","display_name":"Chebyshev polynomials","level":2,"score":0.49648386240005493},{"id":"https://openalex.org/C184898388","wikidata":"https://www.wikidata.org/wiki/Q1435712","display_name":"Pairwise comparison","level":2,"score":0.48885053396224976},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.4719754159450531},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.4692912995815277},{"id":"https://openalex.org/C92207270","wikidata":"https://www.wikidata.org/wiki/Q939253","display_name":"Matrix norm","level":3,"score":0.4627871811389923},{"id":"https://openalex.org/C191795146","wikidata":"https://www.wikidata.org/wiki/Q3878446","display_name":"Norm (philosophy)","level":2,"score":0.44721344113349915},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.3371295928955078},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.18284863233566284},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.07651224732398987},{"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/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/C158693339","wikidata":"https://www.wikidata.org/wiki/Q190524","display_name":"Eigenvalues and eigenvectors","level":2,"score":0.0},{"id":"https://openalex.org/C199539241","wikidata":"https://www.wikidata.org/wiki/Q7748","display_name":"Law","level":1,"score":0.0},{"id":"https://openalex.org/C17744445","wikidata":"https://www.wikidata.org/wiki/Q36442","display_name":"Political science","level":0,"score":0.0}],"mesh":[],"locations_count":3,"locations":[{"id":"doi:10.1142/s0219622018500323","is_oa":false,"landing_page_url":"https://doi.org/10.1142/s0219622018500323","pdf_url":null,"source":{"id":"https://openalex.org/S207089700","display_name":"International Journal of Information Technology & Decision Making","issn_l":"0219-6220","issn":["0219-6220","1793-6845"],"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":"International Journal of Information Technology & Decision Making","raw_type":"journal-article"},{"id":"pmh:oai:RePEc:wsi:ijitdm:v:17:y:2018:i:05:n:s0219622018500323","is_oa":false,"landing_page_url":"http://www.worldscientific.com/doi/abs/10.1142/S0219622018500323","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:gcris.pau.edu.tr:11499/27593","is_oa":false,"landing_page_url":"https://hdl.handle.net/11499/27593","pdf_url":null,"source":null,"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":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":39,"referenced_works":["https://openalex.org/W297774234","https://openalex.org/W1079710448","https://openalex.org/W1507872748","https://openalex.org/W1510078255","https://openalex.org/W1559875088","https://openalex.org/W1970216276","https://openalex.org/W2002852208","https://openalex.org/W2015343144","https://openalex.org/W2016733102","https://openalex.org/W2024428474","https://openalex.org/W2033401964","https://openalex.org/W2033442452","https://openalex.org/W2044072772","https://openalex.org/W2051735342","https://openalex.org/W2065109455","https://openalex.org/W2131462176","https://openalex.org/W2142078435","https://openalex.org/W2189718286","https://openalex.org/W2259660946","https://openalex.org/W2274091178","https://openalex.org/W2330805312","https://openalex.org/W2400766241","https://openalex.org/W2461283622","https://openalex.org/W2462128664","https://openalex.org/W2490733366","https://openalex.org/W2498218675","https://openalex.org/W2506768821","https://openalex.org/W2518272248","https://openalex.org/W2518891783","https://openalex.org/W2538284981","https://openalex.org/W2560450859","https://openalex.org/W2601726957","https://openalex.org/W2605220411","https://openalex.org/W2607535931","https://openalex.org/W2619606596","https://openalex.org/W2619793045","https://openalex.org/W2768983211","https://openalex.org/W3150478326","https://openalex.org/W4285719527"],"related_works":["https://openalex.org/W2910146660","https://openalex.org/W2626380860","https://openalex.org/W1980926910","https://openalex.org/W1993246898","https://openalex.org/W2041163946","https://openalex.org/W2385201764","https://openalex.org/W2805745452","https://openalex.org/W2117990468","https://openalex.org/W4253947002","https://openalex.org/W1970686827"],"abstract_inverted_index":{"In":[0],"this":[1],"study,":[2],"we":[3,28,87],"propose":[4],"Euclidean":[5,36,41,57,113],"best\u2013worst":[6],"method":[7],"(Euclidean":[8],"BWM),":[9],"which":[10],"does":[11],"not":[12],"require":[13],"any":[14],"other":[15],"extra":[16],"calculations":[17],"and":[18,30,47,79,115],"analysis":[19],"compared":[20],"to":[21,101],"nonlinear":[22,80],"Chebyshev":[23,45,84,119],"BWM.":[24,85,120],"Using":[25],"numerical":[26],"examples,":[27],"illustrate":[29],"discuss":[31],"the":[32,35,49,70,73,77,83,99,103,112],"efficiency":[33],"of":[34,44,69,72,82,106,118],"BWM":[37,58,114],"based":[38],"on":[39],"minimizing":[40],"norm":[42,46],"instead":[43],"using":[48,93],"consistency":[50],"index":[51],"matrix.":[52],"Obtained":[53],"results":[54],"show":[55],"that":[56],"is":[59],"an":[60],"efficient":[61],"tool":[62],"resulting":[63],"in":[64],"reliable":[65],"unique":[66,104],"solutions,":[67],"regardless":[68],"number":[71],"criteria,":[74],"comparing":[75],"with":[76],"linear":[78,116],"model":[81,117],"Moreover,":[86],"develop":[88],"a":[89,107],"MAPLE":[90],"package":[91],"\u201cBWM\u201d":[92],"only":[94],"pairwise":[95],"comparison":[96],"vectors":[97],"as":[98],"arguments":[100],"obtain":[102],"solution":[105],"given":[108],"problem":[109],"by":[110],"both":[111]},"counts_by_year":[{"year":2024,"cited_by_count":3},{"year":2023,"cited_by_count":4},{"year":2022,"cited_by_count":2},{"year":2021,"cited_by_count":3},{"year":2020,"cited_by_count":5},{"year":2019,"cited_by_count":1}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2018-06-13T00:00:00"}