{"id":"https://openalex.org/W2954642398","doi":"https://doi.org/10.3233/jifs-181739","title":"Two computational formulae for similarity measures on intuitionistic fuzzy sets based on intuitionistic fuzzy equivalencies","display_name":"Two computational formulae for similarity measures on intuitionistic fuzzy sets based on intuitionistic fuzzy equivalencies","publication_year":2019,"publication_date":"2019-06-27","ids":{"openalex":"https://openalex.org/W2954642398","doi":"https://doi.org/10.3233/jifs-181739","mag":"2954642398"},"language":"en","primary_location":{"id":"doi:10.3233/jifs-181739","is_oa":false,"landing_page_url":"https://doi.org/10.3233/jifs-181739","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 & 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/A5101908584","display_name":"Xingxing He","orcid":"https://orcid.org/0000-0003-0574-8440"},"institutions":[{"id":"https://openalex.org/I4800084","display_name":"Southwest Jiaotong University","ror":"https://ror.org/00hn7w693","country_code":"CN","type":"education","lineage":["https://openalex.org/I4800084"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Xingxing He","raw_affiliation_strings":["School of Mathematics, Southwest Jiaotong University, Chengdu, Sichuan, People\u2019s Republic of China","School of Mathematics, Southwest Jiaotong University, Chengdu, Sichuan, People's Republic of China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"School of Mathematics, Southwest Jiaotong University, Chengdu, Sichuan, People\u2019s Republic of China","institution_ids":["https://openalex.org/I4800084"]},{"raw_affiliation_string":"School of Mathematics, Southwest Jiaotong University, Chengdu, Sichuan, People's Republic of China","institution_ids":["https://openalex.org/I4800084"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5033203117","display_name":"Yingfang Li","orcid":"https://orcid.org/0000-0001-5557-1159"},"institutions":[{"id":"https://openalex.org/I204831749","display_name":"Southwestern University of Finance and Economics","ror":"https://ror.org/04ewct822","country_code":"CN","type":"education","lineage":["https://openalex.org/I204831749"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Yingfang Li","raw_affiliation_strings":["School of Economics Information Engineering, Southwestern University of Finance and Economics, Chengdu, Sichuan, People\u2019s Republic of China","School of Economics Information Engineering, Southwestern University of Finance and Economics, Chengdu, Sichuan, People's Republic of China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"School of Economics Information Engineering, Southwestern University of Finance and Economics, Chengdu, Sichuan, People\u2019s Republic of China","institution_ids":["https://openalex.org/I204831749"]},{"raw_affiliation_string":"School of Economics Information Engineering, Southwestern University of Finance and Economics, Chengdu, Sichuan, People's Republic of China","institution_ids":["https://openalex.org/I204831749"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5102058332","display_name":"Limin Du","orcid":null},"institutions":[{"id":"https://openalex.org/I173899330","display_name":"Henan University","ror":"https://ror.org/003xyzq10","country_code":"CN","type":"education","lineage":["https://openalex.org/I173899330"]}],"countries":["CN"],"is_corresponding":true,"raw_author_name":"Limin Du","raw_affiliation_strings":["Pharmaceutical College, Henan University, Kaifeng, Henan, People\u2019s Republic of China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Pharmaceutical College, Henan University, Kaifeng, Henan, People\u2019s Republic of China","institution_ids":["https://openalex.org/I173899330"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5110365678","display_name":"Keyun Qin","orcid":null},"institutions":[{"id":"https://openalex.org/I4800084","display_name":"Southwest Jiaotong University","ror":"https://ror.org/00hn7w693","country_code":"CN","type":"education","lineage":["https://openalex.org/I4800084"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Keyun Qin","raw_affiliation_strings":["School of Mathematics, Southwest Jiaotong University, Chengdu, Sichuan, People\u2019s Republic of China","School of Mathematics, Southwest Jiaotong University, Chengdu, Sichuan, People's Republic of China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"School of Mathematics, Southwest Jiaotong University, Chengdu, Sichuan, People\u2019s Republic of China","institution_ids":["https://openalex.org/I4800084"]},{"raw_affiliation_string":"School of Mathematics, Southwest Jiaotong University, Chengdu, Sichuan, People's Republic of China","institution_ids":["https://openalex.org/I4800084"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":4,"corresponding_author_ids":["https://openalex.org/A5102058332"],"corresponding_institution_ids":["https://openalex.org/I173899330"],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":1,"citation_normalized_percentile":{"value":0.078472,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":94},"biblio":{"volume":"37","issue":"5","first_page":"7073","last_page":"7086"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10050","display_name":"Multi-Criteria Decision Making","score":0.9991000294685364,"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":0.9991000294685364,"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/T10820","display_name":"Fuzzy Logic and Control Systems","score":0.965499997138977,"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/equivalence","display_name":"Equivalence (formal languages)","score":0.685184895992279},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.673705518245697},{"id":"https://openalex.org/keywords/similarity","display_name":"Similarity (geometry)","score":0.651707112789154},{"id":"https://openalex.org/keywords/fuzzy-logic","display_name":"Fuzzy logic","score":0.4551934003829956},{"id":"https://openalex.org/keywords/similarity-measure","display_name":"Similarity measure","score":0.44285979866981506},{"id":"https://openalex.org/keywords/fuzzy-set","display_name":"Fuzzy set","score":0.4337936043739319},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.3846200406551361},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.3206924796104431},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.3097778856754303},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.3083376884460449},{"id":"https://openalex.org/keywords/image","display_name":"Image (mathematics)","score":0.05660143494606018}],"concepts":[{"id":"https://openalex.org/C2780069185","wikidata":"https://www.wikidata.org/wiki/Q7977945","display_name":"Equivalence (formal languages)","level":2,"score":0.685184895992279},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.673705518245697},{"id":"https://openalex.org/C103278499","wikidata":"https://www.wikidata.org/wiki/Q254465","display_name":"Similarity (geometry)","level":3,"score":0.651707112789154},{"id":"https://openalex.org/C58166","wikidata":"https://www.wikidata.org/wiki/Q224821","display_name":"Fuzzy logic","level":2,"score":0.4551934003829956},{"id":"https://openalex.org/C2776517306","wikidata":"https://www.wikidata.org/wiki/Q29017317","display_name":"Similarity measure","level":2,"score":0.44285979866981506},{"id":"https://openalex.org/C42011625","wikidata":"https://www.wikidata.org/wiki/Q1055058","display_name":"Fuzzy set","level":3,"score":0.4337936043739319},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.3846200406551361},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.3206924796104431},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.3097778856754303},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.3083376884460449},{"id":"https://openalex.org/C115961682","wikidata":"https://www.wikidata.org/wiki/Q860623","display_name":"Image (mathematics)","level":2,"score":0.05660143494606018}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.3233/jifs-181739","is_oa":false,"landing_page_url":"https://doi.org/10.3233/jifs-181739","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 & Fuzzy Systems","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":35,"referenced_works":["https://openalex.org/W959627130","https://openalex.org/W1515034838","https://openalex.org/W1606108510","https://openalex.org/W1934588770","https://openalex.org/W1965806776","https://openalex.org/W1967185084","https://openalex.org/W1980564456","https://openalex.org/W1980748255","https://openalex.org/W1982618675","https://openalex.org/W1985068317","https://openalex.org/W1986391289","https://openalex.org/W1998274657","https://openalex.org/W2024957379","https://openalex.org/W2029074979","https://openalex.org/W2029377923","https://openalex.org/W2039791408","https://openalex.org/W2041517853","https://openalex.org/W2055108933","https://openalex.org/W2056021265","https://openalex.org/W2067648457","https://openalex.org/W2068395167","https://openalex.org/W2070417014","https://openalex.org/W2089136818","https://openalex.org/W2099469179","https://openalex.org/W2118005807","https://openalex.org/W2125906479","https://openalex.org/W2137607269","https://openalex.org/W2144086263","https://openalex.org/W2166583165","https://openalex.org/W2273432898","https://openalex.org/W2293737317","https://openalex.org/W4256089154","https://openalex.org/W4292295629","https://openalex.org/W6600175266","https://openalex.org/W6758652401"],"related_works":["https://openalex.org/W2319693127","https://openalex.org/W2072263576","https://openalex.org/W2474567666","https://openalex.org/W2790658443","https://openalex.org/W1940044583","https://openalex.org/W2056226831","https://openalex.org/W2806903871","https://openalex.org/W4320802053","https://openalex.org/W2112090263","https://openalex.org/W2315413568"],"abstract_inverted_index":{"The":[0,85,94],"measure":[1],"of":[2,44,107,115],"the":[3,42,102,105,116,128,139],"similarity":[4,26,81,118,130],"between":[5,127],"intuitionistic":[6,36,45,55],"fuzzy":[7,37,46,56,69],"sets":[8],"(IFSs)":[9],"is":[10,62,88,97],"an":[11],"important":[12],"topic":[13],"in":[14,138],"IFSs":[15,29,133],"theory.":[16],"In":[17],"this":[18],"paper,":[19],"we":[20,49,75,123],"propose":[21,41],"two":[22,77],"computational":[23,52,78],"formulae":[24,79],"for":[25,54,80],"measures":[27,82,119,131],"on":[28,31,72,83,120,132],"based":[30],"a":[32,51,125],"quaternary":[33],"function":[34],"called":[35],"equivalence.":[38,47],"We":[39,110],"first":[40,86],"concept":[43],"Then":[48],"give":[50],"formula":[53],"equivalencies":[57],"(i.e.,":[58],"Eq.":[59,73,92,108],"(1)),":[60],"which":[61],"obtained":[63,89,98],"from":[64],"combining":[65],"dissimilarity":[66],"functions":[67],"and":[68,104,134],"equivalencies.":[70],"Based":[71],"(1),":[74],"obtain":[76],"IFSs.":[84,121],"one":[87,96],"by":[90,99],"aggregating":[91,101],"(1).":[93,109],"second":[95],"respectively":[100],"numerator":[103],"denominator":[106],"also":[111],"examine":[112],"some":[113],"properties":[114],"proposed":[117,129],"Finally,":[122],"make":[124],"comparison":[126],"those":[135],"existing":[136],"ones":[137],"literature":[140],"through":[141],"several":[142],"counter-intuitive":[143],"cases.":[144]},"counts_by_year":[{"year":2024,"cited_by_count":1}],"updated_date":"2026-05-21T06:26:12.895304","created_date":"2025-10-10T00:00:00"}