{"id":"https://openalex.org/W2175072366","doi":"https://doi.org/10.3233/ifs-151824","title":"A new correlation measure of the intuitionistic fuzzy sets","display_name":"A new correlation measure of the intuitionistic fuzzy sets","publication_year":2015,"publication_date":"2015-10-13","ids":{"openalex":"https://openalex.org/W2175072366","doi":"https://doi.org/10.3233/ifs-151824","mag":"2175072366"},"language":"en","primary_location":{"id":"doi:10.3233/ifs-151824","is_oa":false,"landing_page_url":"https://doi.org/10.3233/ifs-151824","pdf_url":null,"source":{"id":"https://openalex.org/S179157397","display_name":"Journal of Intelligent & Fuzzy Systems","issn_l":"1064-1246","issn":["1064-1246","1875-8967"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310318577","host_organization_name":"IOS Press","host_organization_lineage":["https://openalex.org/P4310318577"],"host_organization_lineage_names":["IOS Press"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Journal of Intelligent &amp; Fuzzy 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":"https://openalex.org/A5041608037","display_name":"Bingsheng Liu","orcid":"https://orcid.org/0000-0002-8663-8026"},"institutions":[{"id":"https://openalex.org/I162868743","display_name":"Tianjin University","ror":"https://ror.org/012tb2g32","country_code":"CN","type":"education","lineage":["https://openalex.org/I162868743"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Bingsheng Liu","raw_affiliation_strings":["College of Management and Economics, Tianjin University, Nan Kai District, Tianjin, P.R. China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"College of Management and Economics, Tianjin University, Nan Kai District, Tianjin, P.R. China","institution_ids":["https://openalex.org/I162868743"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5041425394","display_name":"Yinghua Shen","orcid":"https://orcid.org/0000-0003-4080-5535"},"institutions":[{"id":"https://openalex.org/I154425047","display_name":"University of Alberta","ror":"https://ror.org/0160cpw27","country_code":"CA","type":"education","lineage":["https://openalex.org/I154425047"]}],"countries":["CA"],"is_corresponding":false,"raw_author_name":"Yinghua Shen","raw_affiliation_strings":["Department of Electrical &amp; Computer Engineering, University of Alberta, Edmonton, Canada","Department of Electrical & Computer Engineering, University of Alberta, Edmonton, Canada"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Electrical &amp; Computer Engineering, University of Alberta, Edmonton, Canada","institution_ids":["https://openalex.org/I154425047"]},{"raw_affiliation_string":"Department of Electrical & Computer Engineering, University of Alberta, Edmonton, Canada","institution_ids":["https://openalex.org/I154425047"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5083881203","display_name":"Lingling Mu","orcid":"https://orcid.org/0000-0001-6556-784X"},"institutions":[{"id":"https://openalex.org/I184843921","display_name":"Hebei University of Technology","ror":"https://ror.org/018hded08","country_code":"CN","type":"education","lineage":["https://openalex.org/I184843921"]}],"countries":["CN"],"is_corresponding":true,"raw_author_name":"Lingling Mu","raw_affiliation_strings":["School of Economics and Management, Hebei University of Technology, Bei Chen District, Tianjin, P.R. China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"School of Economics and Management, Hebei University of Technology, Bei Chen District, Tianjin, P.R. China","institution_ids":["https://openalex.org/I184843921"]}]},{"author_position":"middle","author":{"id":null,"display_name":"Xiaohong Chen","orcid":null},"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":"Xiaohong Chen","raw_affiliation_strings":["Business School of Central South University, Changsha, P.R. China","E-mail:","Fax: +86 022 6043 5091"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Business School of Central South University, Changsha, P.R. China","institution_ids":["https://openalex.org/I139660479"]},{"raw_affiliation_string":"E-mail:","institution_ids":[]},{"raw_affiliation_string":"Fax: +86 022 6043 5091","institution_ids":[]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5100730190","display_name":"Liwen Chen","orcid":"https://orcid.org/0000-0002-5671-9888"},"institutions":[{"id":"https://openalex.org/I184843921","display_name":"Hebei University of Technology","ror":"https://ror.org/018hded08","country_code":"CN","type":"education","lineage":["https://openalex.org/I184843921"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Liwen Chen","raw_affiliation_strings":["School of Economics and Management, Hebei University of Technology, Bei Chen District, Tianjin, P.R. China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"School of Economics and Management, Hebei University of Technology, Bei Chen District, Tianjin, P.R. China","institution_ids":["https://openalex.org/I184843921"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":4,"corresponding_author_ids":["https://openalex.org/A5083881203"],"corresponding_institution_ids":["https://openalex.org/I184843921"],"apc_list":null,"apc_paid":null,"fwci":1.4626,"has_fulltext":false,"cited_by_count":48,"citation_normalized_percentile":{"value":0.84862729,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":99},"biblio":{"volume":"30","issue":"2","first_page":"1019","last_page":"1028"},"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":0.9969000220298767,"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/T10820","display_name":"Fuzzy Logic and Control Systems","score":0.9814000129699707,"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/mathematics","display_name":"Mathematics","score":0.7384193539619446},{"id":"https://openalex.org/keywords/variance","display_name":"Variance (accounting)","score":0.5963566899299622},{"id":"https://openalex.org/keywords/degree","display_name":"Degree (music)","score":0.5818347930908203},{"id":"https://openalex.org/keywords/measure","display_name":"Measure (data warehouse)","score":0.5316280126571655},{"id":"https://openalex.org/keywords/correlation-coefficient","display_name":"Correlation coefficient","score":0.4996917247772217},{"id":"https://openalex.org/keywords/covariance","display_name":"Covariance","score":0.4884571135044098},{"id":"https://openalex.org/keywords/set","display_name":"Set (abstract data type)","score":0.46508142352104187},{"id":"https://openalex.org/keywords/interval","display_name":"Interval (graph theory)","score":0.4600299596786499},{"id":"https://openalex.org/keywords/fuzzy-set","display_name":"Fuzzy set","score":0.4583190977573395},{"id":"https://openalex.org/keywords/correlation","display_name":"Correlation","score":0.45626166462898254},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.37789976596832275},{"id":"https://openalex.org/keywords/fuzzy-logic","display_name":"Fuzzy logic","score":0.3668377995491028},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.3667301535606384},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.3372787833213806},{"id":"https://openalex.org/keywords/statistics","display_name":"Statistics","score":0.23941656947135925},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.22432783246040344},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.1850939691066742},{"id":"https://openalex.org/keywords/data-mining","display_name":"Data mining","score":0.16116726398468018},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.14192718267440796}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.7384193539619446},{"id":"https://openalex.org/C196083921","wikidata":"https://www.wikidata.org/wiki/Q7915758","display_name":"Variance (accounting)","level":2,"score":0.5963566899299622},{"id":"https://openalex.org/C2775997480","wikidata":"https://www.wikidata.org/wiki/Q586277","display_name":"Degree (music)","level":2,"score":0.5818347930908203},{"id":"https://openalex.org/C2780009758","wikidata":"https://www.wikidata.org/wiki/Q6804172","display_name":"Measure (data warehouse)","level":2,"score":0.5316280126571655},{"id":"https://openalex.org/C2780092901","wikidata":"https://www.wikidata.org/wiki/Q3433612","display_name":"Correlation coefficient","level":2,"score":0.4996917247772217},{"id":"https://openalex.org/C178650346","wikidata":"https://www.wikidata.org/wiki/Q201984","display_name":"Covariance","level":2,"score":0.4884571135044098},{"id":"https://openalex.org/C177264268","wikidata":"https://www.wikidata.org/wiki/Q1514741","display_name":"Set (abstract data type)","level":2,"score":0.46508142352104187},{"id":"https://openalex.org/C2778067643","wikidata":"https://www.wikidata.org/wiki/Q166507","display_name":"Interval (graph theory)","level":2,"score":0.4600299596786499},{"id":"https://openalex.org/C42011625","wikidata":"https://www.wikidata.org/wiki/Q1055058","display_name":"Fuzzy set","level":3,"score":0.4583190977573395},{"id":"https://openalex.org/C117220453","wikidata":"https://www.wikidata.org/wiki/Q5172842","display_name":"Correlation","level":2,"score":0.45626166462898254},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.37789976596832275},{"id":"https://openalex.org/C58166","wikidata":"https://www.wikidata.org/wiki/Q224821","display_name":"Fuzzy logic","level":2,"score":0.3668377995491028},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.3667301535606384},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.3372787833213806},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.23941656947135925},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.22432783246040344},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.1850939691066742},{"id":"https://openalex.org/C124101348","wikidata":"https://www.wikidata.org/wiki/Q172491","display_name":"Data mining","level":1,"score":0.16116726398468018},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.14192718267440796},{"id":"https://openalex.org/C121955636","wikidata":"https://www.wikidata.org/wiki/Q4116214","display_name":"Accounting","level":1,"score":0.0},{"id":"https://openalex.org/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","level":1,"score":0.0},{"id":"https://openalex.org/C24890656","wikidata":"https://www.wikidata.org/wiki/Q82811","display_name":"Acoustics","level":1,"score":0.0},{"id":"https://openalex.org/C144133560","wikidata":"https://www.wikidata.org/wiki/Q4830453","display_name":"Business","level":0,"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}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.3233/ifs-151824","is_oa":false,"landing_page_url":"https://doi.org/10.3233/ifs-151824","pdf_url":null,"source":{"id":"https://openalex.org/S179157397","display_name":"Journal of Intelligent & Fuzzy Systems","issn_l":"1064-1246","issn":["1064-1246","1875-8967"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310318577","host_organization_name":"IOS Press","host_organization_lineage":["https://openalex.org/P4310318577"],"host_organization_lineage_names":["IOS Press"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Journal of Intelligent &amp; Fuzzy Systems","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[{"score":0.49000000953674316,"id":"https://metadata.un.org/sdg/10","display_name":"Reduced inequalities"}],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":24,"referenced_works":["https://openalex.org/W4369310","https://openalex.org/W1493389405","https://openalex.org/W1816134045","https://openalex.org/W1980564456","https://openalex.org/W1981107087","https://openalex.org/W1982647522","https://openalex.org/W1990810406","https://openalex.org/W1994112479","https://openalex.org/W2015282411","https://openalex.org/W2017846705","https://openalex.org/W2017977229","https://openalex.org/W2039792815","https://openalex.org/W2044370617","https://openalex.org/W2053211464","https://openalex.org/W2076808107","https://openalex.org/W2080627339","https://openalex.org/W2124970246","https://openalex.org/W2155072267","https://openalex.org/W2257687208","https://openalex.org/W2346953349","https://openalex.org/W2912565176","https://openalex.org/W4211007335","https://openalex.org/W4239227372","https://openalex.org/W4292078529"],"related_works":["https://openalex.org/W2788344745","https://openalex.org/W2062336688","https://openalex.org/W2910677864","https://openalex.org/W2148213881","https://openalex.org/W2046078371","https://openalex.org/W3086618278","https://openalex.org/W2383820648","https://openalex.org/W2163515958","https://openalex.org/W4245445763","https://openalex.org/W2326614066"],"abstract_inverted_index":{"In":[0],"this":[1,139],"paper,":[2],"we":[3,50,137],"regard":[4],"the":[5,9,13,28,32,38,42,46,53,56,60,63,66,69,73,77,81,89,93,97,102,107,115,118,128,133,142],"membership":[6],"degree":[7,11,30,95],"and":[8,21,65,130],"non-membership":[10],"of":[12,41,55,62,68,92,101,117,132],"intuitionistic":[14,57,144],"fuzzy":[15,58,145],"set":[16,146],"(IFS)":[17],"as":[18],"a":[19,23],"whole":[20],"propose":[22,72],"new":[24],"approach":[25,140],"to":[26,75,126,141],"measuring":[27],"correlation":[29,43,78,94,103],"between":[31,45,80,96],"IFSs":[33,98],"in":[34,106],"finite":[35],"sets.":[36],"Like":[37],"computational":[39],"process":[40],"coefficient":[44,79,104],"real":[47],"number":[48],"variables,":[49],"first":[51],"define":[52],"deviation":[54],"numbers,":[59],"variance":[61],"IFS,":[64],"covariance":[67],"IFSs;":[70],"then":[71],"formula":[74],"get":[76],"IFSs.":[82],"The":[83],"proposed":[84,134],"method":[85],"not":[86],"only":[87],"reflects":[88],"symbol":[90],"attribute":[91],"(the":[99],"value":[100],"lies":[105],"interval":[108],"[\u20131,":[109],"1]),":[110],"but":[111],"also":[112],"makes":[113],"sure":[114],"integrity":[116],"IFS":[119],"is":[120],"maintained.":[121],"Several":[122],"examples":[123],"are":[124],"given":[125],"show":[127],"feasibility":[129],"advantages":[131],"method.":[135],"Moreover,":[136],"extend":[138],"interval-valued":[143],"(IVIFS)":[147],"case.":[148]},"counts_by_year":[{"year":2026,"cited_by_count":2},{"year":2025,"cited_by_count":2},{"year":2024,"cited_by_count":5},{"year":2023,"cited_by_count":7},{"year":2022,"cited_by_count":2},{"year":2021,"cited_by_count":13},{"year":2020,"cited_by_count":9},{"year":2019,"cited_by_count":4},{"year":2018,"cited_by_count":3},{"year":2017,"cited_by_count":1}],"updated_date":"2026-07-28T07:46:37.118299","created_date":"2025-10-10T00:00:00"}
