{"id":"https://openalex.org/W3137004022","doi":"https://doi.org/10.3390/sym13040525","title":"Determination of Objective Weights Using a New Method Based on the Removal Effects of Criteria (MEREC)","display_name":"Determination of Objective Weights Using a New Method Based on the Removal Effects of Criteria (MEREC)","publication_year":2021,"publication_date":"2021-03-24","ids":{"openalex":"https://openalex.org/W3137004022","doi":"https://doi.org/10.3390/sym13040525","mag":"3137004022"},"language":"en","primary_location":{"id":"doi:10.3390/sym13040525","is_oa":true,"landing_page_url":"https://doi.org/10.3390/sym13040525","pdf_url":"https://www.mdpi.com/2073-8994/13/4/525/pdf?version=1616668686","source":{"id":"https://openalex.org/S190787756","display_name":"Symmetry","issn_l":"2073-8994","issn":["2073-8994"],"is_oa":true,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310310987","host_organization_name":"Multidisciplinary Digital Publishing Institute","host_organization_lineage":["https://openalex.org/P4310310987"],"host_organization_lineage_names":["Multidisciplinary Digital Publishing Institute"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Symmetry","raw_type":"journal-article"},"type":"article","indexed_in":["crossref","doaj"],"open_access":{"is_oa":true,"oa_status":"gold","oa_url":"https://www.mdpi.com/2073-8994/13/4/525/pdf?version=1616668686","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5065448038","display_name":"Mehdi Keshavarz-Ghorabaee","orcid":"https://orcid.org/0000-0002-0362-1633"},"institutions":[{"id":"https://openalex.org/I4210134932","display_name":"Gonbad Kavous University","ror":"https://ror.org/04a1nf004","country_code":"IR","type":"education","lineage":["https://openalex.org/I4210134932"]}],"countries":["IR"],"is_corresponding":false,"raw_author_name":"Mehdi Keshavarz-Ghorabaee","raw_affiliation_strings":["Department of Management, Faculty of Humanities (Azadshahr Branch), Gonbad Kavous University, Gonbad Kavous 49717-99151, Iran"],"raw_orcid":"https://orcid.org/0000-0002-0362-1633","affiliations":[{"raw_affiliation_string":"Department of Management, Faculty of Humanities (Azadshahr Branch), Gonbad Kavous University, Gonbad Kavous 49717-99151, Iran","institution_ids":["https://openalex.org/I4210134932"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5076476923","display_name":"Maghsoud Amiri","orcid":"https://orcid.org/0000-0002-0650-2584"},"institutions":[{"id":"https://openalex.org/I200432940","display_name":"Allameh Tabataba'i University","ror":"https://ror.org/02cc4gc68","country_code":"IR","type":"education","lineage":["https://openalex.org/I200432940"]}],"countries":["IR"],"is_corresponding":false,"raw_author_name":"Maghsoud Amiri","raw_affiliation_strings":["Department of Industrial Management, Faculty of Management and Accounting, Allameh Tabataba\u2019i University, Tehran 14348-63111, Iran","Department of Industrial Management, Faculty of Management and Accounting, Allameh Tabataba'i University, Tehran 14348-63111, Iran"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Industrial Management, Faculty of Management and Accounting, Allameh Tabataba\u2019i University, Tehran 14348-63111, Iran","institution_ids":["https://openalex.org/I200432940"]},{"raw_affiliation_string":"Department of Industrial Management, Faculty of Management and Accounting, Allameh Tabataba'i University, Tehran 14348-63111, Iran","institution_ids":["https://openalex.org/I200432940"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5051206308","display_name":"Edmundas Kazimieras Zavadskas","orcid":"https://orcid.org/0000-0002-3201-949X"},"institutions":[{"id":"https://openalex.org/I167420956","display_name":"Vilnius Gediminas Technical University","ror":"https://ror.org/02x3e4q36","country_code":"LT","type":"education","lineage":["https://openalex.org/I167420956"]}],"countries":["LT"],"is_corresponding":true,"raw_author_name":"Edmundas Kazimieras Zavadskas","raw_affiliation_strings":["Institute of Sustainable Construction, Civil Engineering Faculty, Vilnius Gediminas Technical University, Sauletekio al. 11, LT-10223 Vilnius, Lithuania"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Institute of Sustainable Construction, Civil Engineering Faculty, Vilnius Gediminas Technical University, Sauletekio al. 11, LT-10223 Vilnius, Lithuania","institution_ids":["https://openalex.org/I167420956"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5023858233","display_name":"Zenonas Turskis","orcid":"https://orcid.org/0000-0002-5835-9388"},"institutions":[{"id":"https://openalex.org/I167420956","display_name":"Vilnius Gediminas Technical University","ror":"https://ror.org/02x3e4q36","country_code":"LT","type":"education","lineage":["https://openalex.org/I167420956"]}],"countries":["LT"],"is_corresponding":false,"raw_author_name":"Zenonas Turskis","raw_affiliation_strings":["Institute of Sustainable Construction, Civil Engineering Faculty, Vilnius Gediminas Technical University, Sauletekio al. 11, LT-10223 Vilnius, Lithuania"],"raw_orcid":"https://orcid.org/0000-0002-5835-9388","affiliations":[{"raw_affiliation_string":"Institute of Sustainable Construction, Civil Engineering Faculty, Vilnius Gediminas Technical University, Sauletekio al. 11, LT-10223 Vilnius, Lithuania","institution_ids":["https://openalex.org/I167420956"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5009360886","display_name":"Jurgita Antuchevi\u010dien\u0117","orcid":"https://orcid.org/0000-0002-1734-3216"},"institutions":[{"id":"https://openalex.org/I167420956","display_name":"Vilnius Gediminas Technical University","ror":"https://ror.org/02x3e4q36","country_code":"LT","type":"education","lineage":["https://openalex.org/I167420956"]}],"countries":["LT"],"is_corresponding":false,"raw_author_name":"Jurgita Antucheviciene","raw_affiliation_strings":["Department of Construction Management and Real Estate, Vilnius Gediminas Technical University, Sauletekio al. 11, LT-10223 Vilnius, Lithuania"],"raw_orcid":"https://orcid.org/0000-0002-1734-3216","affiliations":[{"raw_affiliation_string":"Department of Construction Management and Real Estate, Vilnius Gediminas Technical University, Sauletekio al. 11, LT-10223 Vilnius, Lithuania","institution_ids":["https://openalex.org/I167420956"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":5,"corresponding_author_ids":["https://openalex.org/A5051206308"],"corresponding_institution_ids":["https://openalex.org/I167420956"],"apc_list":{"value":2000,"currency":"CHF","value_usd":2165},"apc_paid":{"value":2000,"currency":"CHF","value_usd":2165},"fwci":81.2013,"has_fulltext":true,"cited_by_count":716,"citation_normalized_percentile":{"value":0.99993957,"is_in_top_1_percent":true,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":99,"max":100},"biblio":{"volume":"13","issue":"4","first_page":"525","last_page":"525"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10050","display_name":"Multi-Criteria Decision Making","score":0.9966999888420105,"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":0.9966999888420105,"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/T13578","display_name":"Stonefly species taxonomy and ecology","score":0.9810000061988831,"subfield":{"id":"https://openalex.org/subfields/2212","display_name":"Ocean 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/T11063","display_name":"Rough Sets and Fuzzy Logic","score":0.9545999765396118,"subfield":{"id":"https://openalex.org/subfields/1703","display_name":"Computational Theory and Mathematics"},"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/weighting","display_name":"Weighting","score":0.8642236590385437},{"id":"https://openalex.org/keywords/multiple-criteria-decision-analysis","display_name":"Multiple-criteria decision analysis","score":0.7806954383850098},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.6626657843589783},{"id":"https://openalex.org/keywords/stability","display_name":"Stability (learning theory)","score":0.642231822013855},{"id":"https://openalex.org/keywords/reliability","display_name":"Reliability (semiconductor)","score":0.6202303767204285},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.46400657296180725},{"id":"https://openalex.org/keywords/data-mining","display_name":"Data mining","score":0.4338603615760803},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.3277783989906311},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.327727347612381},{"id":"https://openalex.org/keywords/machine-learning","display_name":"Machine learning","score":0.2053534984588623}],"concepts":[{"id":"https://openalex.org/C183115368","wikidata":"https://www.wikidata.org/wiki/Q856577","display_name":"Weighting","level":2,"score":0.8642236590385437},{"id":"https://openalex.org/C11105738","wikidata":"https://www.wikidata.org/wiki/Q1895805","display_name":"Multiple-criteria decision analysis","level":2,"score":0.7806954383850098},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.6626657843589783},{"id":"https://openalex.org/C112972136","wikidata":"https://www.wikidata.org/wiki/Q7595718","display_name":"Stability (learning theory)","level":2,"score":0.642231822013855},{"id":"https://openalex.org/C43214815","wikidata":"https://www.wikidata.org/wiki/Q7310987","display_name":"Reliability (semiconductor)","level":3,"score":0.6202303767204285},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.46400657296180725},{"id":"https://openalex.org/C124101348","wikidata":"https://www.wikidata.org/wiki/Q172491","display_name":"Data mining","level":1,"score":0.4338603615760803},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.3277783989906311},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.327727347612381},{"id":"https://openalex.org/C119857082","wikidata":"https://www.wikidata.org/wiki/Q2539","display_name":"Machine learning","level":1,"score":0.2053534984588623},{"id":"https://openalex.org/C163258240","wikidata":"https://www.wikidata.org/wiki/Q25342","display_name":"Power (physics)","level":2,"score":0.0},{"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/C71924100","wikidata":"https://www.wikidata.org/wiki/Q11190","display_name":"Medicine","level":0,"score":0.0},{"id":"https://openalex.org/C126838900","wikidata":"https://www.wikidata.org/wiki/Q77604","display_name":"Radiology","level":1,"score":0.0}],"mesh":[],"locations_count":3,"locations":[{"id":"doi:10.3390/sym13040525","is_oa":true,"landing_page_url":"https://doi.org/10.3390/sym13040525","pdf_url":"https://www.mdpi.com/2073-8994/13/4/525/pdf?version=1616668686","source":{"id":"https://openalex.org/S190787756","display_name":"Symmetry","issn_l":"2073-8994","issn":["2073-8994"],"is_oa":true,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310310987","host_organization_name":"Multidisciplinary Digital Publishing Institute","host_organization_lineage":["https://openalex.org/P4310310987"],"host_organization_lineage_names":["Multidisciplinary Digital Publishing Institute"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Symmetry","raw_type":"journal-article"},{"id":"pmh:oai:doaj.org/article:e77ee02a603b416bbc5ac27a8dae3937","is_oa":true,"landing_page_url":"https://doaj.org/article/e77ee02a603b416bbc5ac27a8dae3937","pdf_url":null,"source":{"id":"https://openalex.org/S4306401280","display_name":"DOAJ (DOAJ: Directory of Open Access Journals)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"repository"},"license":"cc-by-sa","license_id":"https://openalex.org/licenses/cc-by-sa","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Symmetry, Vol 13, Iss 4, p 525 (2021)","raw_type":"article"},{"id":"pmh:oai:mdpi.com:/2073-8994/13/4/525/","is_oa":true,"landing_page_url":"https://dx.doi.org/10.3390/sym13040525","pdf_url":null,"source":{"id":"https://openalex.org/S4306400947","display_name":"MDPI (MDPI AG)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I4210097602","host_organization_name":"Multidisciplinary Digital Publishing Institute (Switzerland)","host_organization_lineage":["https://openalex.org/I4210097602"],"host_organization_lineage_names":[],"type":"repository"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Symmetry","raw_type":"Text"}],"best_oa_location":{"id":"doi:10.3390/sym13040525","is_oa":true,"landing_page_url":"https://doi.org/10.3390/sym13040525","pdf_url":"https://www.mdpi.com/2073-8994/13/4/525/pdf?version=1616668686","source":{"id":"https://openalex.org/S190787756","display_name":"Symmetry","issn_l":"2073-8994","issn":["2073-8994"],"is_oa":true,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310310987","host_organization_name":"Multidisciplinary Digital Publishing Institute","host_organization_lineage":["https://openalex.org/P4310310987"],"host_organization_lineage_names":["Multidisciplinary Digital Publishing Institute"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Symmetry","raw_type":"journal-article"},"sustainable_development_goals":[{"display_name":"Peace, Justice and strong institutions","score":0.8199999928474426,"id":"https://metadata.un.org/sdg/16"}],"awards":[],"funders":[],"has_content":{"grobid_xml":true,"pdf":true},"content_urls":{"pdf":"https://content.openalex.org/works/W3137004022.pdf","grobid_xml":"https://content.openalex.org/works/W3137004022.grobid-xml"},"referenced_works_count":87,"referenced_works":["https://openalex.org/W397697661","https://openalex.org/W1985558316","https://openalex.org/W2006096615","https://openalex.org/W2024236264","https://openalex.org/W2027342001","https://openalex.org/W2050090718","https://openalex.org/W2067442047","https://openalex.org/W2159946039","https://openalex.org/W2160906200","https://openalex.org/W2167357543","https://openalex.org/W2196272329","https://openalex.org/W2231191608","https://openalex.org/W2259660946","https://openalex.org/W2474665338","https://openalex.org/W2479534119","https://openalex.org/W2499387716","https://openalex.org/W2765231923","https://openalex.org/W2898909116","https://openalex.org/W2972514855","https://openalex.org/W2989672024","https://openalex.org/W2990895846","https://openalex.org/W2991148778","https://openalex.org/W2995256084","https://openalex.org/W2996227998","https://openalex.org/W3004957275","https://openalex.org/W3005597953","https://openalex.org/W3008294857","https://openalex.org/W3009883495","https://openalex.org/W3010835834","https://openalex.org/W3012208562","https://openalex.org/W3012295806","https://openalex.org/W3016441177","https://openalex.org/W3017545385","https://openalex.org/W3017975068","https://openalex.org/W3018800401","https://openalex.org/W3021661329","https://openalex.org/W3024366305","https://openalex.org/W3025914897","https://openalex.org/W3033242165","https://openalex.org/W3033294910","https://openalex.org/W3034779554","https://openalex.org/W3036287503","https://openalex.org/W3037363051","https://openalex.org/W3037379844","https://openalex.org/W3037942371","https://openalex.org/W3039430467","https://openalex.org/W3040758571","https://openalex.org/W3041253915","https://openalex.org/W3042236697","https://openalex.org/W3043171893","https://openalex.org/W3044228990","https://openalex.org/W3044525988","https://openalex.org/W3044702857","https://openalex.org/W3087130651","https://openalex.org/W3088596224","https://openalex.org/W3089148921","https://openalex.org/W3089846797","https://openalex.org/W3092145066","https://openalex.org/W3097777674","https://openalex.org/W3097896369","https://openalex.org/W3098430959","https://openalex.org/W3107367921","https://openalex.org/W3107844881","https://openalex.org/W3110833988","https://openalex.org/W3113192350","https://openalex.org/W3113726672","https://openalex.org/W3117425928","https://openalex.org/W3118952943","https://openalex.org/W3119165681","https://openalex.org/W3120297521","https://openalex.org/W3120555972","https://openalex.org/W3122500788","https://openalex.org/W3126694064","https://openalex.org/W3128992117","https://openalex.org/W3129039936","https://openalex.org/W3135443541","https://openalex.org/W3137004022","https://openalex.org/W4238000329","https://openalex.org/W6755966145","https://openalex.org/W6775062013","https://openalex.org/W6777074194","https://openalex.org/W6780135159","https://openalex.org/W6780145069","https://openalex.org/W6781116781","https://openalex.org/W6785720239","https://openalex.org/W6788163100","https://openalex.org/W6791549118"],"related_works":["https://openalex.org/W2180954594","https://openalex.org/W2052835778","https://openalex.org/W2049003611","https://openalex.org/W2127804977","https://openalex.org/W2108418243","https://openalex.org/W164103134","https://openalex.org/W2040545019","https://openalex.org/W2787352659","https://openalex.org/W1970611213","https://openalex.org/W4206560911"],"abstract_inverted_index":{"The":[0,135,183],"weights":[1,98,195],"of":[2,51,81,91,96,99,112,127,132,137,157,172,180,196],"criteria":[3,27],"in":[4,166],"multi-criteria":[5],"decision-making":[6],"(MCDM)":[7],"problems":[8,140],"are":[9],"essential":[10],"elements":[11],"that":[12,187],"can":[13],"significantly":[14],"affect":[15],"the":[16,48,70,79,82,89,92,97,113,125,130,138,155,158,170,178,188],"results.":[17,116,134,182],"Accordingly,":[18],"researchers":[19],"developed":[20],"and":[21,35,129,169],"presented":[22,106],"several":[23],"methods":[24,30,165],"to":[25,53,77,123,192],"determine":[26,54,193],"weights.":[28,57],"Weighting":[29],"could":[31],"be":[32],"objective,":[33],"subjective,":[34],"integrated.":[36],"This":[37,58],"study":[38],"introduces":[39],"a":[40,61,102,120,147],"new":[41],"method,":[42,71],"called":[43],"MEREC":[44,93,128,159,189],"(MEthod":[45],"based":[46],"on":[47],"Removal":[49],"Effects":[50],"Criteria),":[52],"criteria\u2019":[55],"objective":[56,163,194],"method":[59],"uses":[60],"novel":[62],"idea":[63],"for":[64,94,110,142,175],"weighting":[65,164],"criteria.":[66,100,197],"After":[67],"systematically":[68],"introducing":[69],"we":[72,118],"present":[73],"some":[74,161],"computational":[75],"analyses":[76,185],"confirm":[78],"efficiency":[80],"MEREC.":[83],"Firstly,":[84],"an":[85,108],"illustrative":[86],"example":[87,109],"demonstrates":[88],"procedure":[90],"calculation":[95],"Secondly,":[101],"comparative":[103],"analysis":[104,122,145,171],"is":[105,190],"through":[107],"validation":[111],"introduced":[114],"method\u2019s":[115],"Additionally,":[117],"perform":[119],"simulation-based":[121],"verify":[124],"reliability":[126],"stability":[131,179],"its":[133,181],"data":[136],"MCDM":[139],"generated":[141],"making":[143],"this":[144,167],"follow":[146],"prevalent":[148],"symmetric":[149],"distribution":[150],"(normal":[151],"distribution).":[152],"We":[153],"compare":[154],"results":[156],"with":[160],"other":[162],"analysis,":[168],"means":[173],"(ANOM)":[174],"variances":[176],"shows":[177],"conducted":[184],"demonstrate":[186],"efficient":[191]},"counts_by_year":[{"year":2026,"cited_by_count":92},{"year":2025,"cited_by_count":172},{"year":2024,"cited_by_count":187},{"year":2023,"cited_by_count":152},{"year":2022,"cited_by_count":95},{"year":2021,"cited_by_count":18}],"updated_date":"2026-06-21T07:57:09.225873","created_date":"2025-10-10T00:00:00"}
