{"id":"https://openalex.org/W3011576130","doi":"https://doi.org/10.3233/jifs-191011","title":"Existence of an equilibrium for pure exchange economy with fuzzy preferences","display_name":"Existence of an equilibrium for pure exchange economy with fuzzy preferences","publication_year":2020,"publication_date":"2020-07-24","ids":{"openalex":"https://openalex.org/W3011576130","doi":"https://doi.org/10.3233/jifs-191011","mag":"3011576130"},"language":"en","primary_location":{"id":"doi:10.3233/jifs-191011","is_oa":false,"landing_page_url":"https://doi.org/10.3233/jifs-191011","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":["arxiv","crossref"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://arxiv.org/pdf/2003.08656","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":null,"display_name":"Xia Zhang","orcid":null},"institutions":[{"id":"https://openalex.org/I17145004","display_name":"Northwestern Polytechnical University","ror":"https://ror.org/01y0j0j86","country_code":"CN","type":"education","lineage":["https://openalex.org/I17145004"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Xia Zhang","raw_affiliation_strings":["School of Mathematics and Statistics, Northwestern Polytechnical University, Xi\u2019an, Shaanxi, PR China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"School of Mathematics and Statistics, Northwestern Polytechnical University, Xi\u2019an, Shaanxi, PR China","institution_ids":["https://openalex.org/I17145004"]}]},{"author_position":"middle","author":{"id":null,"display_name":"Hao Sun","orcid":null},"institutions":[{"id":"https://openalex.org/I17145004","display_name":"Northwestern Polytechnical University","ror":"https://ror.org/01y0j0j86","country_code":"CN","type":"education","lineage":["https://openalex.org/I17145004"]}],"countries":["CN"],"is_corresponding":true,"raw_author_name":"Hao Sun","raw_affiliation_strings":["School of Mathematics and Statistics, Northwestern Polytechnical University, Xi\u2019an, Shaanxi, PR China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"School of Mathematics and Statistics, Northwestern Polytechnical University, Xi\u2019an, Shaanxi, PR China","institution_ids":["https://openalex.org/I17145004"]}]},{"author_position":"middle","author":{"id":null,"display_name":"Xuanzhu Jin","orcid":null},"institutions":[{"id":"https://openalex.org/I17145004","display_name":"Northwestern Polytechnical University","ror":"https://ror.org/01y0j0j86","country_code":"CN","type":"education","lineage":["https://openalex.org/I17145004"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Xuanzhu Jin","raw_affiliation_strings":["School of Mathematics and Statistics, Northwestern Polytechnical University, Xi\u2019an, Shaanxi, PR China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"School of Mathematics and Statistics, Northwestern Polytechnical University, Xi\u2019an, Shaanxi, PR China","institution_ids":["https://openalex.org/I17145004"]}]},{"author_position":"last","author":{"id":null,"display_name":"Moses Olabhele Esangbedo","orcid":null},"institutions":[{"id":"https://openalex.org/I17145004","display_name":"Northwestern Polytechnical University","ror":"https://ror.org/01y0j0j86","country_code":"CN","type":"education","lineage":["https://openalex.org/I17145004"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Moses Olabhele Esangbedo","raw_affiliation_strings":["School of Management, Northwestern Polytechnical University, Xi\u2019an, Shaanxi, China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"School of Management, Northwestern Polytechnical University, Xi\u2019an, Shaanxi, China","institution_ids":["https://openalex.org/I17145004"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":[],"corresponding_institution_ids":["https://openalex.org/I17145004"],"apc_list":null,"apc_paid":null,"fwci":0.9041,"has_fulltext":false,"cited_by_count":3,"citation_normalized_percentile":{"value":0.85905696,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":94},"biblio":{"volume":"39","issue":"3","first_page":"2737","last_page":"2752"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T12137","display_name":"Economic theories and models","score":0.6980999708175659,"subfield":{"id":"https://openalex.org/subfields/2002","display_name":"Economics and Econometrics"},"field":{"id":"https://openalex.org/fields/20","display_name":"Economics, Econometrics and Finance"},"domain":{"id":"https://openalex.org/domains/2","display_name":"Social Sciences"}},"topics":[{"id":"https://openalex.org/T12137","display_name":"Economic theories and models","score":0.6980999708175659,"subfield":{"id":"https://openalex.org/subfields/2002","display_name":"Economics and Econometrics"},"field":{"id":"https://openalex.org/fields/20","display_name":"Economics, Econometrics and Finance"},"domain":{"id":"https://openalex.org/domains/2","display_name":"Social Sciences"}},{"id":"https://openalex.org/T10545","display_name":"Optimization and Variational Analysis","score":0.09109999984502792,"subfield":{"id":"https://openalex.org/subfields/1703","display_name":"Computational Theory and Mathematics"},"field":{"id":"https://openalex.org/fields/17","display_name":"Computer Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T10991","display_name":"Game Theory and Voting Systems","score":0.04729999974370003,"subfield":{"id":"https://openalex.org/subfields/2002","display_name":"Economics and Econometrics"},"field":{"id":"https://openalex.org/fields/20","display_name":"Economics, Econometrics and Finance"},"domain":{"id":"https://openalex.org/domains/2","display_name":"Social Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/fuzzy-logic","display_name":"Fuzzy logic","score":0.6723999977111816},{"id":"https://openalex.org/keywords/fuzzy-number","display_name":"Fuzzy number","score":0.6118000149726868},{"id":"https://openalex.org/keywords/defuzzification","display_name":"Defuzzification","score":0.4569000005722046},{"id":"https://openalex.org/keywords/fuzzy-set","display_name":"Fuzzy set","score":0.451200008392334},{"id":"https://openalex.org/keywords/consumption","display_name":"Consumption (sociology)","score":0.4397999942302704},{"id":"https://openalex.org/keywords/fuzzy-classification","display_name":"Fuzzy classification","score":0.392300009727478},{"id":"https://openalex.org/keywords/nash-equilibrium","display_name":"Nash equilibrium","score":0.3806999921798706},{"id":"https://openalex.org/keywords/competitive-equilibrium","display_name":"Competitive equilibrium","score":0.373199999332428}],"concepts":[{"id":"https://openalex.org/C58166","wikidata":"https://www.wikidata.org/wiki/Q224821","display_name":"Fuzzy logic","level":2,"score":0.6723999977111816},{"id":"https://openalex.org/C1883856","wikidata":"https://www.wikidata.org/wiki/Q3407463","display_name":"Fuzzy number","level":4,"score":0.6118000149726868},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5719000101089478},{"id":"https://openalex.org/C144237770","wikidata":"https://www.wikidata.org/wiki/Q747534","display_name":"Mathematical economics","level":1,"score":0.5609999895095825},{"id":"https://openalex.org/C170260401","wikidata":"https://www.wikidata.org/wiki/Q5251735","display_name":"Defuzzification","level":5,"score":0.4569000005722046},{"id":"https://openalex.org/C42011625","wikidata":"https://www.wikidata.org/wiki/Q1055058","display_name":"Fuzzy set","level":3,"score":0.451200008392334},{"id":"https://openalex.org/C30772137","wikidata":"https://www.wikidata.org/wiki/Q5164762","display_name":"Consumption (sociology)","level":2,"score":0.4397999942302704},{"id":"https://openalex.org/C127385683","wikidata":"https://www.wikidata.org/wiki/Q1475696","display_name":"Fuzzy classification","level":4,"score":0.392300009727478},{"id":"https://openalex.org/C46814582","wikidata":"https://www.wikidata.org/wiki/Q23389","display_name":"Nash equilibrium","level":2,"score":0.3806999921798706},{"id":"https://openalex.org/C148671577","wikidata":"https://www.wikidata.org/wiki/Q5511133","display_name":"Fuzzy set operations","level":4,"score":0.373199999332428},{"id":"https://openalex.org/C2780964549","wikidata":"https://www.wikidata.org/wiki/Q5156353","display_name":"Competitive equilibrium","level":2,"score":0.373199999332428},{"id":"https://openalex.org/C162324750","wikidata":"https://www.wikidata.org/wiki/Q8134","display_name":"Economics","level":0,"score":0.36640000343322754},{"id":"https://openalex.org/C100516043","wikidata":"https://www.wikidata.org/wiki/Q4455138","display_name":"Fuzzy measure theory","level":5,"score":0.3522999882698059},{"id":"https://openalex.org/C177264268","wikidata":"https://www.wikidata.org/wiki/Q1514741","display_name":"Set (abstract data type)","level":2,"score":0.3456000089645386},{"id":"https://openalex.org/C5263885","wikidata":"https://www.wikidata.org/wiki/Q1967302","display_name":"Membership function","level":4,"score":0.3353999853134155},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.3328000009059906},{"id":"https://openalex.org/C2781249084","wikidata":"https://www.wikidata.org/wiki/Q908656","display_name":"Preference","level":2,"score":0.31690001487731934},{"id":"https://openalex.org/C115740575","wikidata":"https://www.wikidata.org/wiki/Q5511136","display_name":"Fuzzy subalgebra","level":5,"score":0.27880001068115234},{"id":"https://openalex.org/C14036430","wikidata":"https://www.wikidata.org/wiki/Q3736076","display_name":"Function (biology)","level":2,"score":0.27799999713897705},{"id":"https://openalex.org/C166586474","wikidata":"https://www.wikidata.org/wiki/Q5511129","display_name":"Fuzzy mathematics","level":5,"score":0.27000001072883606},{"id":"https://openalex.org/C48372109","wikidata":"https://www.wikidata.org/wiki/Q3913","display_name":"Binary number","level":2,"score":0.26899999380111694},{"id":"https://openalex.org/C2777062324","wikidata":"https://www.wikidata.org/wiki/Q25036211","display_name":"Preference relation","level":3,"score":0.26489999890327454},{"id":"https://openalex.org/C17350324","wikidata":"https://www.wikidata.org/wiki/Q7860605","display_name":"Type-2 fuzzy sets and systems","level":5,"score":0.2639000117778778}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.3233/jifs-191011","is_oa":false,"landing_page_url":"https://doi.org/10.3233/jifs-191011","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"},{"id":"pmh:oai:arXiv.org:2003.08656","is_oa":true,"landing_page_url":"http://arxiv.org/abs/2003.08656","pdf_url":"https://arxiv.org/pdf/2003.08656","source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"text"}],"best_oa_location":{"id":"pmh:oai:arXiv.org:2003.08656","is_oa":true,"landing_page_url":"http://arxiv.org/abs/2003.08656","pdf_url":"https://arxiv.org/pdf/2003.08656","source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"text"},"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":27,"referenced_works":["https://openalex.org/W1964682347","https://openalex.org/W1975952641","https://openalex.org/W1986550159","https://openalex.org/W1993841272","https://openalex.org/W1996727605","https://openalex.org/W2031305138","https://openalex.org/W2034993145","https://openalex.org/W2055925085","https://openalex.org/W2058024468","https://openalex.org/W2067050450","https://openalex.org/W2067122768","https://openalex.org/W2069290195","https://openalex.org/W2075518461","https://openalex.org/W2084312524","https://openalex.org/W2108037741","https://openalex.org/W2145897424","https://openalex.org/W2152192979","https://openalex.org/W2152872399","https://openalex.org/W2164498579","https://openalex.org/W2316926081","https://openalex.org/W2565172278","https://openalex.org/W2887280019","https://openalex.org/W2890600522","https://openalex.org/W2945102524","https://openalex.org/W2977692256","https://openalex.org/W4211007335","https://openalex.org/W4234277722"],"related_works":[],"abstract_inverted_index":{"This":[0],"paper":[1],"focuses":[2],"on":[3,45,88],"a":[4,14,40,60,75,85,127],"new":[5,41,86],"model":[6,24],"to":[7,49,129,136],"reach":[8],"the":[9,29,34,46,51,66,80,89,119],"existence":[10,73,90],"of":[11,74,91,101],"equilibrium":[12,78,94,122,138],"in":[13,33,65,111],"pure":[15],"exchange":[16],"economy":[17],"with":[18],"fuzzy":[19,31,42,52,62,76,92,96,109,112,120],"preferences":[20],"(PXE-FP).":[21],"The":[22,72,99],"proposed":[23],"integrates":[25],"exchange,":[26],"consumption":[27,35,47,67],"and":[28],"agent\u2019s":[30],"preference":[32],"set.":[36],"We":[37],"set":[38,48,68],"up":[39],"binary":[43],"relation":[44],"evaluate":[50],"preferences.":[53],"Also,":[54],"we":[55,116],"prove":[56],"that":[57,118],"there":[58],"exists":[59],"continuous":[61],"order-preserving":[63],"function":[64],"under":[69],"certain":[70],"conditions.":[71],"competitive":[77,121],"for":[79,95,105],"PXE-FP":[81],"is":[82],"confirmed":[83],"through":[84],"result":[87],"Nash":[93],"non-cooperative":[97,113],"games.":[98,114],"payoffs":[100],"all":[102],"strategy":[103],"profiles":[104],"any":[106],"agent":[107],"are":[108],"numbers":[110],"Finally,":[115],"show":[117],"could":[123],"be":[124],"characterized":[125],"as":[126],"solution":[128],"an":[130,137],"associated":[131],"quasi-variational":[132],"inequality,":[133],"giving":[134],"rise":[135],"solution.":[139]},"counts_by_year":[{"year":2023,"cited_by_count":1},{"year":2022,"cited_by_count":1},{"year":2021,"cited_by_count":1}],"updated_date":"2026-05-21T06:26:12.895304","created_date":"2020-03-23T00:00:00"}