{"id":"https://openalex.org/W1974946744","doi":"https://doi.org/10.1080/01969720590961727","title":"A TOPSIS-BASED CENTROID\u2013INDEX RANKING METHOD OF FUZZY NUMBERS AND ITS APPLICATION IN DECISION-MAKING","display_name":"A TOPSIS-BASED CENTROID\u2013INDEX RANKING METHOD OF FUZZY NUMBERS AND ITS APPLICATION IN DECISION-MAKING","publication_year":2005,"publication_date":"2005-09-01","ids":{"openalex":"https://openalex.org/W1974946744","doi":"https://doi.org/10.1080/01969720590961727","mag":"1974946744"},"language":"en","primary_location":{"id":"doi:10.1080/01969720590961727","is_oa":false,"landing_page_url":"https://doi.org/10.1080/01969720590961727","pdf_url":null,"source":{"id":"https://openalex.org/S117436046","display_name":"Cybernetics & Systems","issn_l":"0196-9722","issn":["0196-9722","1087-6553"],"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":"Cybernetics and Systems","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":null,"display_name":"Deng Yong","orcid":null},"institutions":[{"id":"https://openalex.org/I183067930","display_name":"Shanghai Jiao Tong University","ror":"https://ror.org/0220qvk04","country_code":"CN","type":"education","lineage":["https://openalex.org/I183067930"]}],"countries":["CN"],"is_corresponding":true,"raw_author_name":"Deng Yong","raw_affiliation_strings":["School of Electronics and Information Technology, Shanghai Jiao Tong University , Shanghai, P. R. China"],"affiliations":[{"raw_affiliation_string":"School of Electronics and Information Technology, Shanghai Jiao Tong University , Shanghai, P. R. China","institution_ids":["https://openalex.org/I183067930"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5101590020","display_name":"Qi Liu","orcid":"https://orcid.org/0009-0002-5706-3355"},"institutions":[{"id":"https://openalex.org/I19820366","display_name":"Chinese Academy of Sciences","ror":"https://ror.org/034t30j35","country_code":"CN","type":"government","lineage":["https://openalex.org/I19820366"]},{"id":"https://openalex.org/I4210106477","display_name":"Shanghai Institutes for Biological Sciences","ror":"https://ror.org/011rf9d86","country_code":"CN","type":"facility","lineage":["https://openalex.org/I19820366","https://openalex.org/I4210106477"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Liu Qi","raw_affiliation_strings":["Shanghai Institutes for Biological Sciences, Chinese Academy of Sciences , Shanghai, P. R. China","Shanghai Institutes for Biological Sciences, Chinese Academy of Sciences, Shanghai, P.R. China"],"affiliations":[{"raw_affiliation_string":"Shanghai Institutes for Biological Sciences, Chinese Academy of Sciences , Shanghai, P. R. China","institution_ids":["https://openalex.org/I4210106477","https://openalex.org/I19820366"]},{"raw_affiliation_string":"Shanghai Institutes for Biological Sciences, Chinese Academy of Sciences, Shanghai, P.R. China","institution_ids":["https://openalex.org/I4210106477","https://openalex.org/I19820366"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":[],"corresponding_institution_ids":["https://openalex.org/I183067930"],"apc_list":null,"apc_paid":null,"fwci":2.5319,"has_fulltext":false,"cited_by_count":89,"citation_normalized_percentile":{"value":0.89491062,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":91,"max":99},"biblio":{"volume":"36","issue":"6","first_page":"581","last_page":"595"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10050","display_name":"Multi-Criteria Decision Making","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/T10050","display_name":"Multi-Criteria Decision Making","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/T12135","display_name":"Fuzzy Systems and Optimization","score":0.9785000085830688,"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"}},{"id":"https://openalex.org/T12709","display_name":"Optimization and Mathematical Programming","score":0.9624999761581421,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/centroid","display_name":"Centroid","score":0.8532595038414001},{"id":"https://openalex.org/keywords/topsis","display_name":"TOPSIS","score":0.8428734540939331},{"id":"https://openalex.org/keywords/ranking","display_name":"Ranking (information retrieval)","score":0.8327114582061768},{"id":"https://openalex.org/keywords/ideal-solution","display_name":"Ideal solution","score":0.7643457651138306},{"id":"https://openalex.org/keywords/data-mining","display_name":"Data mining","score":0.5501230955123901},{"id":"https://openalex.org/keywords/preference","display_name":"Preference","score":0.5153821706771851},{"id":"https://openalex.org/keywords/fuzzy-number","display_name":"Fuzzy number","score":0.5108670592308044},{"id":"https://openalex.org/keywords/selection","display_name":"Selection (genetic algorithm)","score":0.49904680252075195},{"id":"https://openalex.org/keywords/ranking-svm","display_name":"Ranking SVM","score":0.49437689781188965},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.4937606751918793},{"id":"https://openalex.org/keywords/similarity","display_name":"Similarity (geometry)","score":0.49057143926620483},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.4735397696495056},{"id":"https://openalex.org/keywords/fuzzy-logic","display_name":"Fuzzy logic","score":0.4641745090484619},{"id":"https://openalex.org/keywords/index","display_name":"Index (typography)","score":0.4328056275844574},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.4166271984577179},{"id":"https://openalex.org/keywords/ideal","display_name":"Ideal (ethics)","score":0.41088762879371643},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.3827243745326996},{"id":"https://openalex.org/keywords/fuzzy-set","display_name":"Fuzzy set","score":0.2947465777397156},{"id":"https://openalex.org/keywords/operations-research","display_name":"Operations research","score":0.1792953610420227},{"id":"https://openalex.org/keywords/statistics","display_name":"Statistics","score":0.15742123126983643},{"id":"https://openalex.org/keywords/image","display_name":"Image (mathematics)","score":0.05517241358757019}],"concepts":[{"id":"https://openalex.org/C146599234","wikidata":"https://www.wikidata.org/wiki/Q511093","display_name":"Centroid","level":2,"score":0.8532595038414001},{"id":"https://openalex.org/C51566761","wikidata":"https://www.wikidata.org/wiki/Q1235853","display_name":"TOPSIS","level":2,"score":0.8428734540939331},{"id":"https://openalex.org/C189430467","wikidata":"https://www.wikidata.org/wiki/Q7293293","display_name":"Ranking (information retrieval)","level":2,"score":0.8327114582061768},{"id":"https://openalex.org/C89591040","wikidata":"https://www.wikidata.org/wiki/Q1779030","display_name":"Ideal solution","level":2,"score":0.7643457651138306},{"id":"https://openalex.org/C124101348","wikidata":"https://www.wikidata.org/wiki/Q172491","display_name":"Data mining","level":1,"score":0.5501230955123901},{"id":"https://openalex.org/C2781249084","wikidata":"https://www.wikidata.org/wiki/Q908656","display_name":"Preference","level":2,"score":0.5153821706771851},{"id":"https://openalex.org/C1883856","wikidata":"https://www.wikidata.org/wiki/Q3407463","display_name":"Fuzzy number","level":4,"score":0.5108670592308044},{"id":"https://openalex.org/C81917197","wikidata":"https://www.wikidata.org/wiki/Q628760","display_name":"Selection (genetic algorithm)","level":2,"score":0.49904680252075195},{"id":"https://openalex.org/C124975894","wikidata":"https://www.wikidata.org/wiki/Q7293290","display_name":"Ranking SVM","level":3,"score":0.49437689781188965},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.4937606751918793},{"id":"https://openalex.org/C103278499","wikidata":"https://www.wikidata.org/wiki/Q254465","display_name":"Similarity (geometry)","level":3,"score":0.49057143926620483},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.4735397696495056},{"id":"https://openalex.org/C58166","wikidata":"https://www.wikidata.org/wiki/Q224821","display_name":"Fuzzy logic","level":2,"score":0.4641745090484619},{"id":"https://openalex.org/C2777382242","wikidata":"https://www.wikidata.org/wiki/Q6017816","display_name":"Index (typography)","level":2,"score":0.4328056275844574},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.4166271984577179},{"id":"https://openalex.org/C2776639384","wikidata":"https://www.wikidata.org/wiki/Q840396","display_name":"Ideal (ethics)","level":2,"score":0.41088762879371643},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.3827243745326996},{"id":"https://openalex.org/C42011625","wikidata":"https://www.wikidata.org/wiki/Q1055058","display_name":"Fuzzy set","level":3,"score":0.2947465777397156},{"id":"https://openalex.org/C42475967","wikidata":"https://www.wikidata.org/wiki/Q194292","display_name":"Operations research","level":1,"score":0.1792953610420227},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.15742123126983643},{"id":"https://openalex.org/C115961682","wikidata":"https://www.wikidata.org/wiki/Q860623","display_name":"Image (mathematics)","level":2,"score":0.05517241358757019},{"id":"https://openalex.org/C111472728","wikidata":"https://www.wikidata.org/wiki/Q9471","display_name":"Epistemology","level":1,"score":0.0},{"id":"https://openalex.org/C136764020","wikidata":"https://www.wikidata.org/wiki/Q466","display_name":"World Wide Web","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/C138885662","wikidata":"https://www.wikidata.org/wiki/Q5891","display_name":"Philosophy","level":0,"score":0.0},{"id":"https://openalex.org/C97355855","wikidata":"https://www.wikidata.org/wiki/Q11473","display_name":"Thermodynamics","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1080/01969720590961727","is_oa":false,"landing_page_url":"https://doi.org/10.1080/01969720590961727","pdf_url":null,"source":{"id":"https://openalex.org/S117436046","display_name":"Cybernetics & Systems","issn_l":"0196-9722","issn":["0196-9722","1087-6553"],"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":"Cybernetics and Systems","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[{"score":0.8199999928474426,"id":"https://metadata.un.org/sdg/16","display_name":"Peace, Justice and strong institutions"}],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":13,"referenced_works":["https://openalex.org/W111796927","https://openalex.org/W194786220","https://openalex.org/W1990794890","https://openalex.org/W2016303054","https://openalex.org/W2026832772","https://openalex.org/W2038604975","https://openalex.org/W2043001097","https://openalex.org/W2060907774","https://openalex.org/W2112768365","https://openalex.org/W2147595926","https://openalex.org/W2506768821","https://openalex.org/W2716922966","https://openalex.org/W4210259099"],"related_works":["https://openalex.org/W2293394021","https://openalex.org/W2347675019","https://openalex.org/W2367947563","https://openalex.org/W2890644467","https://openalex.org/W2612149696","https://openalex.org/W4387430003","https://openalex.org/W3135485754","https://openalex.org/W1990029659","https://openalex.org/W2884422668","https://openalex.org/W2389757528"],"abstract_inverted_index":{"ABSTRACT":[0],"Ranking":[1],"fuzzy":[2,28,81],"numbers":[3,29],"plays":[4],"a":[5,22,68],"very":[6],"important":[7],"role":[8],"in":[9],"decision-making":[10],"problems.":[11],"Existing":[12],"centroid-index":[13,24],"ranking":[14,25,82],"methods":[15],"have":[16],"some":[17],"drawbacks.":[18],"In":[19],"this":[20],"article,":[21],"new":[23,57],"method":[26,34,58],"of":[27,39,63,78],"is":[30,35,72],"proposed.":[31],"The":[32],"proposed":[33,80],"using":[36],"the":[37,56,61,64,76,79],"ideal":[38],"Technique":[40],"for":[41],"Order":[42],"Preference":[43],"by":[44],"Similarity":[45],"to":[46,74],"an":[47],"Ideal":[48],"Solution":[49],"(TOPSIS).":[50],"Some":[51],"numerical":[52],"examples":[53],"show":[54],"that":[55],"can":[59],"overcome":[60],"drawbacks":[62],"existing":[65],"methods.":[66],"Finally,":[67],"human":[69],"selection":[70],"problem":[71],"used":[73],"illustrate":[75],"efficiency":[77],"method.":[83]},"counts_by_year":[{"year":2025,"cited_by_count":1},{"year":2024,"cited_by_count":4},{"year":2023,"cited_by_count":5},{"year":2022,"cited_by_count":3},{"year":2021,"cited_by_count":3},{"year":2020,"cited_by_count":5},{"year":2019,"cited_by_count":2},{"year":2018,"cited_by_count":3},{"year":2017,"cited_by_count":3},{"year":2016,"cited_by_count":4},{"year":2015,"cited_by_count":5},{"year":2014,"cited_by_count":9},{"year":2013,"cited_by_count":7},{"year":2012,"cited_by_count":10}],"updated_date":"2026-04-16T08:26:57.006410","created_date":"2025-10-10T00:00:00"}