{"id":"https://openalex.org/W2889471688","doi":"https://doi.org/10.3233/jifs-18986","title":"On the convergence of fuzzy variables","display_name":"On the convergence of fuzzy variables","publication_year":2018,"publication_date":"2018-08-29","ids":{"openalex":"https://openalex.org/W2889471688","doi":"https://doi.org/10.3233/jifs-18986","mag":"2889471688"},"language":"en","primary_location":{"id":"doi:10.3233/jifs-18986","is_oa":false,"landing_page_url":"https://doi.org/10.3233/jifs-18986","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/A5088538223","display_name":"Cuilian You","orcid":"https://orcid.org/0000-0002-9855-7370"},"institutions":[{"id":"https://openalex.org/I43337087","display_name":"Hebei University","ror":"https://ror.org/01p884a79","country_code":"CN","type":"education","lineage":["https://openalex.org/I43337087"]}],"countries":["CN"],"is_corresponding":true,"raw_author_name":"Cuilian You","raw_affiliation_strings":["College of Mathematics and Information Science, Hebei University, Baoding, China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"College of Mathematics and Information Science, Hebei University, Baoding, China","institution_ids":["https://openalex.org/I43337087"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5101642162","display_name":"Ruili Zhang","orcid":"https://orcid.org/0000-0001-9710-6773"},"institutions":[{"id":"https://openalex.org/I43337087","display_name":"Hebei University","ror":"https://ror.org/01p884a79","country_code":"CN","type":"education","lineage":["https://openalex.org/I43337087"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Ruili Zhang","raw_affiliation_strings":["College of Mathematics and Information Science, Hebei University, Baoding, China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"College of Mathematics and Information Science, Hebei University, Baoding, China","institution_ids":["https://openalex.org/I43337087"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5017046908","display_name":"Ke Su","orcid":"https://orcid.org/0000-0003-3039-5106"},"institutions":[{"id":"https://openalex.org/I43337087","display_name":"Hebei University","ror":"https://ror.org/01p884a79","country_code":"CN","type":"education","lineage":["https://openalex.org/I43337087"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Ke Su","raw_affiliation_strings":["College of Mathematics and Information Science, Hebei University, Baoding, China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"College of Mathematics and Information Science, Hebei University, Baoding, China","institution_ids":["https://openalex.org/I43337087"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5088538223"],"corresponding_institution_ids":["https://openalex.org/I43337087"],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":8,"citation_normalized_percentile":{"value":0.10534944,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":97},"biblio":{"volume":"36","issue":"2","first_page":"1663","last_page":"1670"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T12135","display_name":"Fuzzy Systems and Optimization","score":0.9998999834060669,"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"}},"topics":[{"id":"https://openalex.org/T12135","display_name":"Fuzzy Systems and Optimization","score":0.9998999834060669,"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/T10050","display_name":"Multi-Criteria Decision Making","score":0.9990000128746033,"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/T12062","display_name":"Approximation Theory and Sequence Spaces","score":0.9973000288009644,"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/credibility","display_name":"Credibility","score":0.7557438611984253},{"id":"https://openalex.org/keywords/convergence","display_name":"Convergence (economics)","score":0.7453428506851196},{"id":"https://openalex.org/keywords/fuzzy-logic","display_name":"Fuzzy logic","score":0.6081179976463318},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.5318849682807922},{"id":"https://openalex.org/keywords/fuzzy-number","display_name":"Fuzzy number","score":0.5251169800758362},{"id":"https://openalex.org/keywords/fuzzy-set","display_name":"Fuzzy set","score":0.5244401097297668},{"id":"https://openalex.org/keywords/variable","display_name":"Variable (mathematics)","score":0.4740455150604248},{"id":"https://openalex.org/keywords/credibility-theory","display_name":"Credibility theory","score":0.43415531516075134},{"id":"https://openalex.org/keywords/membership-function","display_name":"Membership function","score":0.416659414768219},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.3820371925830841},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.3542299270629883},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.21189820766448975},{"id":"https://openalex.org/keywords/economics","display_name":"Economics","score":0.06036028265953064},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.043578505516052246}],"concepts":[{"id":"https://openalex.org/C2780224610","wikidata":"https://www.wikidata.org/wiki/Q1530061","display_name":"Credibility","level":2,"score":0.7557438611984253},{"id":"https://openalex.org/C2777303404","wikidata":"https://www.wikidata.org/wiki/Q759757","display_name":"Convergence (economics)","level":2,"score":0.7453428506851196},{"id":"https://openalex.org/C58166","wikidata":"https://www.wikidata.org/wiki/Q224821","display_name":"Fuzzy logic","level":2,"score":0.6081179976463318},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5318849682807922},{"id":"https://openalex.org/C1883856","wikidata":"https://www.wikidata.org/wiki/Q3407463","display_name":"Fuzzy number","level":4,"score":0.5251169800758362},{"id":"https://openalex.org/C42011625","wikidata":"https://www.wikidata.org/wiki/Q1055058","display_name":"Fuzzy set","level":3,"score":0.5244401097297668},{"id":"https://openalex.org/C182365436","wikidata":"https://www.wikidata.org/wiki/Q50701","display_name":"Variable (mathematics)","level":2,"score":0.4740455150604248},{"id":"https://openalex.org/C44211194","wikidata":"https://www.wikidata.org/wiki/Q3526803","display_name":"Credibility theory","level":3,"score":0.43415531516075134},{"id":"https://openalex.org/C5263885","wikidata":"https://www.wikidata.org/wiki/Q1967302","display_name":"Membership function","level":4,"score":0.416659414768219},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.3820371925830841},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.3542299270629883},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.21189820766448975},{"id":"https://openalex.org/C162324750","wikidata":"https://www.wikidata.org/wiki/Q8134","display_name":"Economics","level":0,"score":0.06036028265953064},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.043578505516052246},{"id":"https://openalex.org/C50522688","wikidata":"https://www.wikidata.org/wiki/Q189833","display_name":"Economic growth","level":1,"score":0.0},{"id":"https://openalex.org/C199539241","wikidata":"https://www.wikidata.org/wiki/Q7748","display_name":"Law","level":1,"score":0.0},{"id":"https://openalex.org/C17744445","wikidata":"https://www.wikidata.org/wiki/Q36442","display_name":"Political science","level":0,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.3233/jifs-18986","is_oa":false,"landing_page_url":"https://doi.org/10.3233/jifs-18986","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":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":25,"referenced_works":["https://openalex.org/W4791300","https://openalex.org/W25274176","https://openalex.org/W1495947196","https://openalex.org/W1543327270","https://openalex.org/W1970505073","https://openalex.org/W1972187497","https://openalex.org/W1977914365","https://openalex.org/W1987811848","https://openalex.org/W2009721924","https://openalex.org/W2034145661","https://openalex.org/W2039045183","https://openalex.org/W2094327428","https://openalex.org/W2106927014","https://openalex.org/W2128530362","https://openalex.org/W2157654536","https://openalex.org/W2305832237","https://openalex.org/W2349954748","https://openalex.org/W2577822733","https://openalex.org/W3143971390","https://openalex.org/W4211007335","https://openalex.org/W4230588984","https://openalex.org/W4234521054","https://openalex.org/W4254329280","https://openalex.org/W6732317440","https://openalex.org/W7046707743"],"related_works":["https://openalex.org/W2357854932","https://openalex.org/W1998431814","https://openalex.org/W1968864298","https://openalex.org/W972963059","https://openalex.org/W3047080562","https://openalex.org/W3117520269","https://openalex.org/W1486684451","https://openalex.org/W4361273540","https://openalex.org/W4361984403","https://openalex.org/W2588853812"],"abstract_inverted_index":{"Fuzzy":[0],"variable":[1],"is":[2,20],"a":[3,6],"function":[4],"from":[5],"credibility":[7,24,63],"space":[8],"to":[9],"the":[10,52,55],"set":[11],"of":[12,17,23,46,57],"real":[13,31],"numbers.":[14],"The":[15],"convergence":[16,47,58,61,65],"fuzzy":[18,49,69],"variables":[19,70],"important":[21],"component":[22],"theory,":[25],"which":[26],"can":[27],"be":[28,72],"applied":[29],"into":[30],"problems":[32],"in":[33,62,66],"engineering":[34],"and":[35,64],"mathematical":[36],"finance.":[37],"Inspired":[38],"by":[39],"these,":[40],"we":[41],"will":[42,71],"discuss":[43],"some":[44],"properties":[45],"for":[48,68],"variables.":[50],"At":[51],"same":[53],"time,":[54],"conditions":[56],"almost":[59],"surely,":[60],"mean":[67],"given.":[73]},"counts_by_year":[{"year":2025,"cited_by_count":1},{"year":2024,"cited_by_count":3},{"year":2023,"cited_by_count":3},{"year":2022,"cited_by_count":1}],"updated_date":"2026-05-21T06:26:12.895304","created_date":"2025-10-10T00:00:00"}
