{"id":"https://openalex.org/W2131202053","doi":"https://doi.org/10.1080/00207721.2015.1102359","title":"Multi-criteria decision-making method based on a cross-entropy with interval neutrosophic sets","display_name":"Multi-criteria decision-making method based on a cross-entropy with interval neutrosophic sets","publication_year":2015,"publication_date":"2015-10-29","ids":{"openalex":"https://openalex.org/W2131202053","doi":"https://doi.org/10.1080/00207721.2015.1102359","mag":"2131202053"},"language":"en","primary_location":{"id":"doi:10.1080/00207721.2015.1102359","is_oa":false,"landing_page_url":"https://doi.org/10.1080/00207721.2015.1102359","pdf_url":null,"source":{"id":"https://openalex.org/S129640837","display_name":"International Journal of Systems Science","issn_l":"0020-7721","issn":["0020-7721","1464-5319"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320547","host_organization_name":"Taylor & Francis","host_organization_lineage":["https://openalex.org/P4310320547"],"host_organization_lineage_names":["Taylor & Francis"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"International Journal of Systems Science","raw_type":"journal-article"},"type":"article","indexed_in":["crossref","datacite"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://zenodo.org/record/34854","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5006515912","display_name":"Zhang\u2010peng Tian","orcid":"https://orcid.org/0000-0002-0825-9194"},"institutions":[{"id":"https://openalex.org/I139660479","display_name":"Central South University","ror":"https://ror.org/00f1zfq44","country_code":"CN","type":"education","lineage":["https://openalex.org/I139660479"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Zhang-peng Tian","raw_affiliation_strings":["School of Business, Central South University, Changsha, PR China","School of Business, Central South University, Changsha, PR China;"],"affiliations":[{"raw_affiliation_string":"School of Business, Central South University, Changsha, PR China","institution_ids":["https://openalex.org/I139660479"]},{"raw_affiliation_string":"School of Business, Central South University, Changsha, PR China;","institution_ids":["https://openalex.org/I139660479"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5100412587","display_name":"Hong\u2010yu Zhang","orcid":"https://orcid.org/0000-0001-5142-5277"},"institutions":[{"id":"https://openalex.org/I139660479","display_name":"Central South University","ror":"https://ror.org/00f1zfq44","country_code":"CN","type":"education","lineage":["https://openalex.org/I139660479"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Hong-yu Zhang","raw_affiliation_strings":["School of Business, Central South University, Changsha, PR China","School of Business, Central South University, Changsha, PR China;"],"affiliations":[{"raw_affiliation_string":"School of Business, Central South University, Changsha, PR China","institution_ids":["https://openalex.org/I139660479"]},{"raw_affiliation_string":"School of Business, Central South University, Changsha, PR China;","institution_ids":["https://openalex.org/I139660479"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5028389743","display_name":"Jing Wang","orcid":"https://orcid.org/0000-0002-2407-5985"},"institutions":[{"id":"https://openalex.org/I139660479","display_name":"Central South University","ror":"https://ror.org/00f1zfq44","country_code":"CN","type":"education","lineage":["https://openalex.org/I139660479"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Jing Wang","raw_affiliation_strings":["School of Business, Central South University, Changsha, PR China","School of Business, Central South University, Changsha, PR China;"],"affiliations":[{"raw_affiliation_string":"School of Business, Central South University, Changsha, PR China","institution_ids":["https://openalex.org/I139660479"]},{"raw_affiliation_string":"School of Business, Central South University, Changsha, PR China;","institution_ids":["https://openalex.org/I139660479"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5028389743","display_name":"Jing Wang","orcid":"https://orcid.org/0000-0002-2407-5985"},"institutions":[{"id":"https://openalex.org/I139660479","display_name":"Central South University","ror":"https://ror.org/00f1zfq44","country_code":"CN","type":"education","lineage":["https://openalex.org/I139660479"]}],"countries":["CN"],"is_corresponding":true,"raw_author_name":"Jing Wang","raw_affiliation_strings":["School of Business, Central South University, Changsha, PR China","School of Business, Central South University, Changsha, PR China;"],"affiliations":[{"raw_affiliation_string":"School of Business, Central South University, Changsha, PR China","institution_ids":["https://openalex.org/I139660479"]},{"raw_affiliation_string":"School of Business, Central South University, Changsha, PR China;","institution_ids":["https://openalex.org/I139660479"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5100436355","display_name":"Jian\u2010qiang Wang","orcid":"https://orcid.org/0000-0001-7668-4881"},"institutions":[{"id":"https://openalex.org/I139660479","display_name":"Central South University","ror":"https://ror.org/00f1zfq44","country_code":"CN","type":"education","lineage":["https://openalex.org/I139660479"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Jian-qiang Wang","raw_affiliation_strings":["School of Business, Central South University, Changsha, PR China","School of Business, Central South University, Changsha, PR China;"],"affiliations":[{"raw_affiliation_string":"School of Business, Central South University, Changsha, PR China","institution_ids":["https://openalex.org/I139660479"]},{"raw_affiliation_string":"School of Business, Central South University, Changsha, PR China;","institution_ids":["https://openalex.org/I139660479"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5100436355","display_name":"Jian\u2010qiang Wang","orcid":"https://orcid.org/0000-0001-7668-4881"},"institutions":[{"id":"https://openalex.org/I139660479","display_name":"Central South University","ror":"https://ror.org/00f1zfq44","country_code":"CN","type":"education","lineage":["https://openalex.org/I139660479"]}],"countries":["CN"],"is_corresponding":true,"raw_author_name":"Jian-qiang Wang","raw_affiliation_strings":["School of Business, Central South University, Changsha, PR China"],"affiliations":[{"raw_affiliation_string":"School of Business, Central South University, Changsha, PR China","institution_ids":["https://openalex.org/I139660479"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5100373745","display_name":"Xiaohong Chen","orcid":"https://orcid.org/0000-0002-9797-8384"},"institutions":[{"id":"https://openalex.org/I139660479","display_name":"Central South University","ror":"https://ror.org/00f1zfq44","country_code":"CN","type":"education","lineage":["https://openalex.org/I139660479"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Xiao-hong Chen","raw_affiliation_strings":["School of Business, Central South University, Changsha, PR China"],"affiliations":[{"raw_affiliation_string":"School of Business, Central South University, Changsha, PR China","institution_ids":["https://openalex.org/I139660479"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":7,"corresponding_author_ids":["https://openalex.org/A5028389743","https://openalex.org/A5100436355"],"corresponding_institution_ids":["https://openalex.org/I139660479"],"apc_list":null,"apc_paid":null,"fwci":25.1346,"has_fulltext":false,"cited_by_count":133,"citation_normalized_percentile":{"value":0.99695373,"is_in_top_1_percent":true,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":94,"max":100},"biblio":{"volume":"47","issue":"15","first_page":"3598","last_page":"3608"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10050","display_name":"Multi-Criteria Decision Making","score":0.9994999766349792,"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":0.9994999766349792,"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":0.9735999703407288,"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/T12135","display_name":"Fuzzy Systems and Optimization","score":0.9710999727249146,"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/topsis","display_name":"TOPSIS","score":0.7225233912467957},{"id":"https://openalex.org/keywords/ideal-solution","display_name":"Ideal solution","score":0.6260225772857666},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.6091073155403137},{"id":"https://openalex.org/keywords/interval","display_name":"Interval (graph theory)","score":0.5933442115783691},{"id":"https://openalex.org/keywords/closeness","display_name":"Closeness","score":0.5919079780578613},{"id":"https://openalex.org/keywords/entropy","display_name":"Entropy (arrow of time)","score":0.5663408637046814},{"id":"https://openalex.org/keywords/ranking","display_name":"Ranking (information retrieval)","score":0.5395469069480896},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.45533886551856995},{"id":"https://openalex.org/keywords/operator","display_name":"Operator (biology)","score":0.42994561791419983},{"id":"https://openalex.org/keywords/data-mining","display_name":"Data mining","score":0.3926108479499817},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.3496689200401306},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.2550560235977173},{"id":"https://openalex.org/keywords/operations-research","display_name":"Operations research","score":0.14286461472511292},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.07445818185806274}],"concepts":[{"id":"https://openalex.org/C51566761","wikidata":"https://www.wikidata.org/wiki/Q1235853","display_name":"TOPSIS","level":2,"score":0.7225233912467957},{"id":"https://openalex.org/C89591040","wikidata":"https://www.wikidata.org/wiki/Q1779030","display_name":"Ideal solution","level":2,"score":0.6260225772857666},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.6091073155403137},{"id":"https://openalex.org/C2778067643","wikidata":"https://www.wikidata.org/wiki/Q166507","display_name":"Interval (graph theory)","level":2,"score":0.5933442115783691},{"id":"https://openalex.org/C2779545769","wikidata":"https://www.wikidata.org/wiki/Q5135364","display_name":"Closeness","level":2,"score":0.5919079780578613},{"id":"https://openalex.org/C106301342","wikidata":"https://www.wikidata.org/wiki/Q4117933","display_name":"Entropy (arrow of time)","level":2,"score":0.5663408637046814},{"id":"https://openalex.org/C189430467","wikidata":"https://www.wikidata.org/wiki/Q7293293","display_name":"Ranking (information retrieval)","level":2,"score":0.5395469069480896},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.45533886551856995},{"id":"https://openalex.org/C17020691","wikidata":"https://www.wikidata.org/wiki/Q139677","display_name":"Operator (biology)","level":5,"score":0.42994561791419983},{"id":"https://openalex.org/C124101348","wikidata":"https://www.wikidata.org/wiki/Q172491","display_name":"Data mining","level":1,"score":0.3926108479499817},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.3496689200401306},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.2550560235977173},{"id":"https://openalex.org/C42475967","wikidata":"https://www.wikidata.org/wiki/Q194292","display_name":"Operations research","level":1,"score":0.14286461472511292},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.07445818185806274},{"id":"https://openalex.org/C185592680","wikidata":"https://www.wikidata.org/wiki/Q2329","display_name":"Chemistry","level":0,"score":0.0},{"id":"https://openalex.org/C158448853","wikidata":"https://www.wikidata.org/wiki/Q425218","display_name":"Repressor","level":4,"score":0.0},{"id":"https://openalex.org/C55493867","wikidata":"https://www.wikidata.org/wiki/Q7094","display_name":"Biochemistry","level":1,"score":0.0},{"id":"https://openalex.org/C86339819","wikidata":"https://www.wikidata.org/wiki/Q407384","display_name":"Transcription factor","level":3,"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/C104317684","wikidata":"https://www.wikidata.org/wiki/Q7187","display_name":"Gene","level":2,"score":0.0},{"id":"https://openalex.org/C97355855","wikidata":"https://www.wikidata.org/wiki/Q11473","display_name":"Thermodynamics","level":1,"score":0.0},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.0}],"mesh":[],"locations_count":4,"locations":[{"id":"doi:10.1080/00207721.2015.1102359","is_oa":false,"landing_page_url":"https://doi.org/10.1080/00207721.2015.1102359","pdf_url":null,"source":{"id":"https://openalex.org/S129640837","display_name":"International Journal of Systems Science","issn_l":"0020-7721","issn":["0020-7721","1464-5319"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320547","host_organization_name":"Taylor & Francis","host_organization_lineage":["https://openalex.org/P4310320547"],"host_organization_lineage_names":["Taylor & Francis"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"International Journal of Systems Science","raw_type":"journal-article"},{"id":"pmh:oai:RePEc:taf:tsysxx:v:47:y:2016:i:15:p:3598-3608","is_oa":false,"landing_page_url":"http://hdl.handle.net/10.1080/00207721.2015.1102359","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:zenodo.org:34854","is_oa":true,"landing_page_url":"https://zenodo.org/record/34854","pdf_url":null,"source":{"id":"https://openalex.org/S4306402478","display_name":"INFM-OAR (INFN Catania)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I4210116497","host_organization_name":"Istituto Nazionale di Fisica Nucleare, Sezione di Catania","host_organization_lineage":["https://openalex.org/I4210116497"],"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":null,"raw_type":"info:eu-repo/semantics/article"},{"id":"doi:10.5281/zenodo.34854","is_oa":true,"landing_page_url":"https://doi.org/10.5281/zenodo.34854","pdf_url":null,"source":{"id":"https://openalex.org/S4306400562","display_name":"Zenodo (CERN European Organization for Nuclear Research)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I67311998","host_organization_name":"European Organization for Nuclear Research","host_organization_lineage":["https://openalex.org/I67311998"],"host_organization_lineage_names":[],"type":"repository"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":null,"is_accepted":false,"is_published":null,"raw_source_name":null,"raw_type":"article-journal"}],"best_oa_location":{"id":"pmh:oai:zenodo.org:34854","is_oa":true,"landing_page_url":"https://zenodo.org/record/34854","pdf_url":null,"source":{"id":"https://openalex.org/S4306402478","display_name":"INFM-OAR (INFN Catania)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I4210116497","host_organization_name":"Istituto Nazionale di Fisica Nucleare, Sezione di Catania","host_organization_lineage":["https://openalex.org/I4210116497"],"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":null,"raw_type":"info:eu-repo/semantics/article"},"sustainable_development_goals":[{"score":0.5199999809265137,"display_name":"Reduced inequalities","id":"https://metadata.un.org/sdg/10"},{"score":0.4300000071525574,"display_name":"Peace, Justice and strong institutions","id":"https://metadata.un.org/sdg/16"}],"awards":[{"id":"https://openalex.org/G2087396116","display_name":null,"funder_award_id":"China","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G2930455030","display_name":null,"funder_award_id":"71571193","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G3317480652","display_name":null,"funder_award_id":"Science","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G4588210157","display_name":null,"funder_award_id":"7157119","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G5379060174","display_name":null,"funder_award_id":"71431006","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G5994120800","display_name":null,"funder_award_id":"Natural","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"}],"funders":[{"id":"https://openalex.org/F4320321001","display_name":"National Natural Science Foundation of China","ror":"https://ror.org/01h0zpd94"},{"id":"https://openalex.org/F4320322701","display_name":"Tianjin University","ror":"https://ror.org/012tb2g32"},{"id":"https://openalex.org/F4320328713","display_name":"Central South University of Forestry and Technology","ror":"https://ror.org/02czw2k81"}],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":64,"referenced_works":["https://openalex.org/W58991120","https://openalex.org/W645824323","https://openalex.org/W1273809832","https://openalex.org/W1483580952","https://openalex.org/W1500460861","https://openalex.org/W1523138032","https://openalex.org/W1578428442","https://openalex.org/W1595461165","https://openalex.org/W1641929847","https://openalex.org/W1792561248","https://openalex.org/W1804047783","https://openalex.org/W1817299924","https://openalex.org/W1866568982","https://openalex.org/W1956818252","https://openalex.org/W1969482876","https://openalex.org/W1973068905","https://openalex.org/W1977923684","https://openalex.org/W1980564456","https://openalex.org/W1983312650","https://openalex.org/W1986747479","https://openalex.org/W1989995659","https://openalex.org/W1996831558","https://openalex.org/W2000763566","https://openalex.org/W2006421248","https://openalex.org/W2008366144","https://openalex.org/W2012288218","https://openalex.org/W2013934519","https://openalex.org/W2026774912","https://openalex.org/W2031523830","https://openalex.org/W2032765402","https://openalex.org/W2034692510","https://openalex.org/W2053211464","https://openalex.org/W2054678794","https://openalex.org/W2062612670","https://openalex.org/W2063170755","https://openalex.org/W2063610441","https://openalex.org/W2068395167","https://openalex.org/W2070737895","https://openalex.org/W2073210545","https://openalex.org/W2074315456","https://openalex.org/W2076808107","https://openalex.org/W2079024311","https://openalex.org/W2082291250","https://openalex.org/W2085013924","https://openalex.org/W2085154346","https://openalex.org/W2089556013","https://openalex.org/W2091275864","https://openalex.org/W2093617335","https://openalex.org/W2100854957","https://openalex.org/W2113668671","https://openalex.org/W2116373013","https://openalex.org/W2132723814","https://openalex.org/W2136692556","https://openalex.org/W2139351633","https://openalex.org/W2140930947","https://openalex.org/W2153696615","https://openalex.org/W2171715801","https://openalex.org/W2185904080","https://openalex.org/W2506768821","https://openalex.org/W2912565176","https://openalex.org/W3150277910","https://openalex.org/W4211007335","https://openalex.org/W4292078529","https://openalex.org/W4292158025"],"related_works":["https://openalex.org/W2347675019","https://openalex.org/W2367947563","https://openalex.org/W2890644467","https://openalex.org/W4387430003","https://openalex.org/W2293394021","https://openalex.org/W1990029659","https://openalex.org/W3135485754","https://openalex.org/W2884422668","https://openalex.org/W2389757528","https://openalex.org/W2560304016"],"abstract_inverted_index":{"In":[0],"this":[1,116],"paper,":[2],"two":[3],"optimisation":[4],"models":[5],"are":[6,29,46,57],"established":[7],"to":[8,59,71,90,122],"determine":[9,60],"the":[10,20,26,43,52,61,73,79,112,124,129],"criterion":[11,27],"weights":[12],"in":[13,115],"multi-criteria":[14],"decision-making":[15],"situations":[16],"where":[17],"knowledge":[18],"regarding":[19],"weight":[21],"information":[22],"is":[23,69,103,109],"incomplete":[24],"and":[25,40,42,78,105,118,126],"values":[28],"interval":[30,37,49,92],"neutrosophic":[31,38,93,97],"numbers.":[32,50,98],"The":[33],"proposed":[34,70,130],"approach":[35,68,113],"combines":[36],"sets":[39],"TOPSIS,":[41],"closeness":[44],"coefficients":[45],"expressed":[47],"as":[48],"Furthermore,":[51],"relative":[53],"likelihood-based":[54],"comparison":[55],"relations":[56],"constructed":[58],"ranking":[62],"of":[63,128],"alternatives.":[64],"A":[65],"fuzzy":[66],"cross-entropy":[67],"calculate":[72],"discrimination":[74],"measure":[75],"between":[76,111],"alternatives":[77],"absolute":[80],"ideal":[81],"solutions,":[82],"after":[83],"a":[84,106],"transformation":[85],"operator":[86],"has":[87],"been":[88],"developed":[89,114],"convert":[91],"numbers":[94],"into":[95],"simplified":[96],"Finally,":[99],"an":[100],"illustrative":[101],"example":[102],"provided,":[104],"comparative":[107],"analysis":[108],"conducted":[110],"paper":[117],"other":[119],"existing":[120],"methods,":[121],"verify":[123],"feasibility":[125],"effectiveness":[127],"approach.":[131]},"counts_by_year":[{"year":2025,"cited_by_count":6},{"year":2024,"cited_by_count":7},{"year":2023,"cited_by_count":6},{"year":2022,"cited_by_count":5},{"year":2021,"cited_by_count":7},{"year":2020,"cited_by_count":13},{"year":2019,"cited_by_count":28},{"year":2018,"cited_by_count":21},{"year":2017,"cited_by_count":17},{"year":2016,"cited_by_count":21},{"year":2015,"cited_by_count":2}],"updated_date":"2026-04-14T08:04:32.555800","created_date":"2025-10-10T00:00:00"}
