{"id":"https://openalex.org/W4307641632","doi":"https://doi.org/10.1155/2022/1477098","title":"Extension of the TOPSIS Method for Decision Making Problems under Complex Fuzzy Data Based on the Central Point Index","display_name":"Extension of the TOPSIS Method for Decision Making Problems under Complex Fuzzy Data Based on the Central Point Index","publication_year":2022,"publication_date":"2022-10-27","ids":{"openalex":"https://openalex.org/W4307641632","doi":"https://doi.org/10.1155/2022/1477098"},"language":"en","primary_location":{"id":"doi:10.1155/2022/1477098","is_oa":true,"landing_page_url":"https://doi.org/10.1155/2022/1477098","pdf_url":"https://downloads.hindawi.com/journals/afs/2022/1477098.pdf","source":{"id":"https://openalex.org/S117816480","display_name":"Advances in Fuzzy Systems","issn_l":"1687-7101","issn":["1687-7101","1687-711X"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310319869","host_organization_name":"Hindawi Publishing Corporation","host_organization_lineage":["https://openalex.org/P4310319869"],"host_organization_lineage_names":["Hindawi Publishing Corporation"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Advances in Fuzzy Systems","raw_type":"journal-article"},"type":"article","indexed_in":["crossref","doaj"],"open_access":{"is_oa":true,"oa_status":"gold","oa_url":"https://downloads.hindawi.com/journals/afs/2022/1477098.pdf","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5088539852","display_name":"Salameh Barbat","orcid":"https://orcid.org/0000-0003-4519-8543"},"institutions":[{"id":"https://openalex.org/I4210152146","display_name":"Islamic Azad University Kerman","ror":"https://ror.org/04ywz9252","country_code":"IR","type":"education","lineage":["https://openalex.org/I110525433","https://openalex.org/I4210152146"]}],"countries":["IR"],"is_corresponding":false,"raw_author_name":"Salameh Barbat","raw_affiliation_strings":["Department Mathematics, Kerman Branch, Islamic Azad University, Kerman, Iran"],"raw_orcid":"https://orcid.org/0000-0003-4519-8543","affiliations":[{"raw_affiliation_string":"Department Mathematics, Kerman Branch, Islamic Azad University, Kerman, Iran","institution_ids":["https://openalex.org/I4210152146"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5036975969","display_name":"Mahnaz Barkhordariahmadi","orcid":"https://orcid.org/0000-0003-1745-5274"},"institutions":[{"id":"https://openalex.org/I4210110333","display_name":"Islamic Azad University Bandar Abbas","ror":"https://ror.org/01q7qty61","country_code":"IR","type":"education","lineage":["https://openalex.org/I110525433","https://openalex.org/I4210110333"]}],"countries":["IR"],"is_corresponding":true,"raw_author_name":"Mahnaz Barkhordariahmadi","raw_affiliation_strings":["Department Mathematics, Bandar Abbas Branch, Islamic Azad University, Bandar Abbas, Iran"],"raw_orcid":"https://orcid.org/0000-0003-1745-5274","affiliations":[{"raw_affiliation_string":"Department Mathematics, Bandar Abbas Branch, Islamic Azad University, Bandar Abbas, Iran","institution_ids":["https://openalex.org/I4210110333"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5004908749","display_name":"Vahidmomenaei Kermani","orcid":"https://orcid.org/0000-0003-0359-7458"},"institutions":[{"id":"https://openalex.org/I4210152146","display_name":"Islamic Azad University Kerman","ror":"https://ror.org/04ywz9252","country_code":"IR","type":"education","lineage":["https://openalex.org/I110525433","https://openalex.org/I4210152146"]}],"countries":["IR"],"is_corresponding":false,"raw_author_name":"Vahidmomenaei Kermani","raw_affiliation_strings":["Department Mathematics, Kerman Branch, Islamic Azad University, Kerman, Iran"],"raw_orcid":"https://orcid.org/0000-0003-0359-7458","affiliations":[{"raw_affiliation_string":"Department Mathematics, Kerman Branch, Islamic Azad University, Kerman, Iran","institution_ids":["https://openalex.org/I4210152146"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5036975969"],"corresponding_institution_ids":["https://openalex.org/I4210110333"],"apc_list":{"value":900,"currency":"USD","value_usd":900},"apc_paid":{"value":900,"currency":"USD","value_usd":900},"fwci":0.6756,"has_fulltext":true,"cited_by_count":5,"citation_normalized_percentile":{"value":0.73208213,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":98},"biblio":{"volume":"2022","issue":null,"first_page":"1","last_page":"14"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10050","display_name":"Multi-Criteria Decision Making","score":0.9975000023841858,"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":0.9975000023841858,"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":0.9763000011444092,"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/T12805","display_name":"Cognitive Science and Mapping","score":0.9492999911308289,"subfield":{"id":"https://openalex.org/subfields/1702","display_name":"Artificial Intelligence"},"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/fuzzy-logic","display_name":"Fuzzy logic","score":0.6724740862846375},{"id":"https://openalex.org/keywords/complex-system","display_name":"Complex system","score":0.5586639642715454},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.5216317772865295},{"id":"https://openalex.org/keywords/topsis","display_name":"TOPSIS","score":0.5120452046394348},{"id":"https://openalex.org/keywords/extension","display_name":"Extension (predicate logic)","score":0.45876947045326233},{"id":"https://openalex.org/keywords/fuzzy-number","display_name":"Fuzzy number","score":0.444579154253006},{"id":"https://openalex.org/keywords/data-mining","display_name":"Data mining","score":0.40184757113456726},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.37943610548973083},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.36303162574768066},{"id":"https://openalex.org/keywords/fuzzy-set","display_name":"Fuzzy set","score":0.2822563052177429},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.2408519983291626},{"id":"https://openalex.org/keywords/operations-research","display_name":"Operations research","score":0.20034155249595642}],"concepts":[{"id":"https://openalex.org/C58166","wikidata":"https://www.wikidata.org/wiki/Q224821","display_name":"Fuzzy logic","level":2,"score":0.6724740862846375},{"id":"https://openalex.org/C47822265","wikidata":"https://www.wikidata.org/wiki/Q854457","display_name":"Complex system","level":2,"score":0.5586639642715454},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.5216317772865295},{"id":"https://openalex.org/C51566761","wikidata":"https://www.wikidata.org/wiki/Q1235853","display_name":"TOPSIS","level":2,"score":0.5120452046394348},{"id":"https://openalex.org/C2778029271","wikidata":"https://www.wikidata.org/wiki/Q5421931","display_name":"Extension (predicate logic)","level":2,"score":0.45876947045326233},{"id":"https://openalex.org/C1883856","wikidata":"https://www.wikidata.org/wiki/Q3407463","display_name":"Fuzzy number","level":4,"score":0.444579154253006},{"id":"https://openalex.org/C124101348","wikidata":"https://www.wikidata.org/wiki/Q172491","display_name":"Data mining","level":1,"score":0.40184757113456726},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.37943610548973083},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.36303162574768066},{"id":"https://openalex.org/C42011625","wikidata":"https://www.wikidata.org/wiki/Q1055058","display_name":"Fuzzy set","level":3,"score":0.2822563052177429},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.2408519983291626},{"id":"https://openalex.org/C42475967","wikidata":"https://www.wikidata.org/wiki/Q194292","display_name":"Operations research","level":1,"score":0.20034155249595642},{"id":"https://openalex.org/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","level":1,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1155/2022/1477098","is_oa":true,"landing_page_url":"https://doi.org/10.1155/2022/1477098","pdf_url":"https://downloads.hindawi.com/journals/afs/2022/1477098.pdf","source":{"id":"https://openalex.org/S117816480","display_name":"Advances in Fuzzy Systems","issn_l":"1687-7101","issn":["1687-7101","1687-711X"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310319869","host_organization_name":"Hindawi Publishing Corporation","host_organization_lineage":["https://openalex.org/P4310319869"],"host_organization_lineage_names":["Hindawi Publishing Corporation"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Advances in Fuzzy Systems","raw_type":"journal-article"},{"id":"pmh:oai:doaj.org/article:2a5c6fafc8ba4e36b70a49970024d0c9","is_oa":true,"landing_page_url":"https://doaj.org/article/2a5c6fafc8ba4e36b70a49970024d0c9","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":"Advances in Fuzzy Systems, Vol 2022 (2022)","raw_type":"article"}],"best_oa_location":{"id":"doi:10.1155/2022/1477098","is_oa":true,"landing_page_url":"https://doi.org/10.1155/2022/1477098","pdf_url":"https://downloads.hindawi.com/journals/afs/2022/1477098.pdf","source":{"id":"https://openalex.org/S117816480","display_name":"Advances in Fuzzy Systems","issn_l":"1687-7101","issn":["1687-7101","1687-711X"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310319869","host_organization_name":"Hindawi Publishing Corporation","host_organization_lineage":["https://openalex.org/P4310319869"],"host_organization_lineage_names":["Hindawi Publishing Corporation"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Advances in Fuzzy Systems","raw_type":"journal-article"},"sustainable_development_goals":[{"display_name":"Peace, Justice and strong institutions","id":"https://metadata.un.org/sdg/16","score":0.800000011920929}],"awards":[],"funders":[],"has_content":{"pdf":true,"grobid_xml":true},"content_urls":{"pdf":"https://content.openalex.org/works/W4307641632.pdf","grobid_xml":"https://content.openalex.org/works/W4307641632.grobid-xml"},"referenced_works_count":49,"referenced_works":["https://openalex.org/W52413485","https://openalex.org/W1616134346","https://openalex.org/W1649273148","https://openalex.org/W1969882757","https://openalex.org/W1974742095","https://openalex.org/W1974946744","https://openalex.org/W1993937349","https://openalex.org/W1994141102","https://openalex.org/W2003800557","https://openalex.org/W2008175782","https://openalex.org/W2031847077","https://openalex.org/W2053405721","https://openalex.org/W2061229161","https://openalex.org/W2081028846","https://openalex.org/W2094208309","https://openalex.org/W2097403045","https://openalex.org/W2118880985","https://openalex.org/W2134835694","https://openalex.org/W2139707647","https://openalex.org/W2152743610","https://openalex.org/W2226765229","https://openalex.org/W2343846868","https://openalex.org/W2487775320","https://openalex.org/W2560304016","https://openalex.org/W2582146055","https://openalex.org/W2690472105","https://openalex.org/W2884742304","https://openalex.org/W2887926026","https://openalex.org/W2904154446","https://openalex.org/W2941530771","https://openalex.org/W2944320179","https://openalex.org/W2949066164","https://openalex.org/W2974942783","https://openalex.org/W3031333945","https://openalex.org/W3044292067","https://openalex.org/W3081240133","https://openalex.org/W3095732480","https://openalex.org/W3118337689","https://openalex.org/W3118350556","https://openalex.org/W3119247010","https://openalex.org/W3165401102","https://openalex.org/W3172428665","https://openalex.org/W3179832012","https://openalex.org/W3195872194","https://openalex.org/W3204324417","https://openalex.org/W3211786718","https://openalex.org/W4200042162","https://openalex.org/W4210477376","https://openalex.org/W4245152641"],"related_works":["https://openalex.org/W2041949587","https://openalex.org/W2958553423","https://openalex.org/W2358217305","https://openalex.org/W2359186709","https://openalex.org/W4282827651","https://openalex.org/W4324117723","https://openalex.org/W3015638941","https://openalex.org/W2379805174","https://openalex.org/W2963268865","https://openalex.org/W2171631829"],"abstract_inverted_index":{"This":[0],"paper":[1],"presents":[2],"the":[3,21,30,38,46,60,68,81,99],"CP-TOPSIS":[4],"Model":[5],"in":[6,17,65,148],"group":[7],"decision-making":[8,66],"using":[9,50],"complex":[10,51,73,86,100],"Fuzzy":[11],"Data.":[12],"Complex":[13],"numbers":[14],"were":[15],"employed":[16],"this":[18,44,63,93],"model,":[19],"and":[20,32,79,97],"central":[22],"point":[23],"index":[24],"was":[25],"used":[26],"to":[27,54,85],"define":[28],"both":[29],"negative":[31],"positive":[33],"ideals":[34],"as":[35,37],"well":[36],"distance":[39],"between":[40],"each":[41],"option.":[42],"In":[43],"approach,":[45],"options":[47],"are":[48,145],"graded":[49],"data":[52,102],"(due":[53],"replacing":[55],"linguistic":[56],"variables).":[57],"One":[58],"of":[59,62,127,138],"advantages":[61],"model":[64,94],"is":[67],"capability":[69],"that":[70,92],"creates":[71],"a":[72,128,142],"fuzzy":[74,87,101],"technique":[75],"for":[76],"investigating,":[77],"grading,":[78],"selecting":[80],"best":[82],"option":[83],"related":[84],"data.":[88],"The":[89],"results":[90,147],"show":[91],"effectively":[95],"rates":[96],"grades":[98],"through":[103],"an":[104],"alternative":[105],"period.":[106],"Quantum":[107],"mechanics":[108],"wave":[109],"functions":[110],"could":[111,116,132],"not":[112],"be":[113,134],"analyzed,":[114],"nor":[115,131],"signals":[117],"or":[118,121],"time":[119],"series":[120],"stock":[122],"exchange":[123],"transactions":[124],"predict":[125],"factors":[126],"multiperiod":[129],"alternation,":[130],"predictions":[133],"made":[135],"about":[136],"any":[137],"these":[139],"variables.":[140],"As":[141],"result,":[143],"there":[144],"numerical":[146],"rating":[149],"with":[150],"high":[151],"precision.":[152]},"counts_by_year":[{"year":2026,"cited_by_count":1},{"year":2024,"cited_by_count":1},{"year":2023,"cited_by_count":3}],"updated_date":"2026-05-06T08:25:59.206177","created_date":"2025-10-10T00:00:00"}