{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,5,2]],"date-time":"2026-05-02T06:41:15Z","timestamp":1777704075771,"version":"3.51.4"},"reference-count":29,"publisher":"SAGE Publications","issue":"3","license":[{"start":{"date-parts":[[2020,7,24]],"date-time":"2020-07-24T00:00:00Z","timestamp":1595548800000},"content-version":"tdm","delay-in-days":0,"URL":"https:\/\/journals.sagepub.com\/page\/policies\/text-and-data-mining-license"}],"content-domain":{"domain":["journals.sagepub.com"],"crossmark-restriction":true},"short-container-title":["Journal of Intelligent &amp; Fuzzy Systems"],"published-print":{"date-parts":[[2020,10,7]]},"abstract":"<jats:p>This paper focuses on a new model to reach the existence of equilibrium in a pure exchange economy with fuzzy preferences (PXE-FP). The proposed model integrates exchange, consumption and the agent\u2019s fuzzy preference in the consumption set. We set up a new fuzzy binary relation on the consumption set to evaluate the fuzzy preferences. Also, we prove that there exists a continuous fuzzy order-preserving function in the consumption set under certain conditions. The existence of a fuzzy competitive equilibrium for the PXE-FP is confirmed through a new result on the existence of fuzzy Nash equilibrium for fuzzy non-cooperative games. The payoffs of all strategy profiles for any agent are fuzzy numbers in fuzzy non-cooperative games. Finally, we show that the fuzzy competitive equilibrium could be characterized as a solution to an associated quasi-variational inequality, giving rise to an equilibrium solution.<\/jats:p>","DOI":"10.3233\/jifs-191011","type":"journal-article","created":{"date-parts":[[2020,7,28]],"date-time":"2020-07-28T15:19:24Z","timestamp":1595949564000},"page":"2737-2752","update-policy":"https:\/\/doi.org\/10.1177\/sage-journals-update-policy","source":"Crossref","is-referenced-by-count":2,"title":["Existence of an equilibrium for pure exchange economy with fuzzy preferences"],"prefix":"10.1177","volume":"39","author":[{"given":"Xia","family":"Zhang","sequence":"first","affiliation":[{"name":"School of Mathematics and Statistics, Northwestern Polytechnical University, Xi\u2019an, Shaanxi, PR China"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Hao","family":"Sun","sequence":"additional","affiliation":[{"name":"School of Mathematics and Statistics, Northwestern Polytechnical University, Xi\u2019an, Shaanxi, PR China"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Xuanzhu","family":"Jin","sequence":"additional","affiliation":[{"name":"School of Mathematics and Statistics, Northwestern Polytechnical University, Xi\u2019an, Shaanxi, PR China"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Moses Olabhele","family":"Esangbedo","sequence":"additional","affiliation":[{"name":"School of Management, Northwestern Polytechnical University, Xi\u2019an, Shaanxi, China"}],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"179","published-online":{"date-parts":[[2020,7,24]]},"reference":[{"key":"e_1_3_1_2_2","doi-asserted-by":"publisher","DOI":"10.2307\/1907464"},{"key":"e_1_3_1_3_2","doi-asserted-by":"publisher","DOI":"10.1287\/moor.1060.0233"},{"key":"e_1_3_1_4_2","unstructured":"DuboisD. 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