{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,10,12]],"date-time":"2025-10-12T04:14:10Z","timestamp":1760242450372,"version":"build-2065373602"},"reference-count":37,"publisher":"MDPI AG","issue":"8","license":[{"start":{"date-parts":[[2017,8,15]],"date-time":"2017-08-15T00:00:00Z","timestamp":1502755200000},"content-version":"vor","delay-in-days":0,"URL":"https:\/\/creativecommons.org\/licenses\/by\/4.0\/"}],"funder":[{"name":"National Natural Science Foundations of China","award":["11671001","61472056"],"award-info":[{"award-number":["11671001","61472056"]}]}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Symmetry"],"abstract":"<jats:p>A multi-objective bi-matrix game model based on fuzzy goals is established in this paper. It is shown that the equilibrium solution of such a game model problem can be translated into the optimal solution of a multi-objective, non-linear programming problem. Finally, the results of this paper are demonstrated through a numerical example.<\/jats:p>","DOI":"10.3390\/sym9080159","type":"journal-article","created":{"date-parts":[[2017,8,15]],"date-time":"2017-08-15T14:35:00Z","timestamp":1502807700000},"page":"159","update-policy":"https:\/\/doi.org\/10.3390\/mdpi_crossmark_policy","source":"Crossref","is-referenced-by-count":6,"title":["Multi-objective Fuzzy Bi-matrix Game Model: A Multicriteria Non-Linear Programming Approach"],"prefix":"10.3390","volume":"9","author":[{"given":"Wei","family":"Zhang","sequence":"first","affiliation":[{"name":"College of Science, Chongqing University of Post and Telecommunication, Chongqing 400065, China"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Yumei","family":"Xing","sequence":"additional","affiliation":[{"name":"College of Science, Chongqing University of Post and Telecommunication, Chongqing 400065, China"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"ORCID":"https:\/\/orcid.org\/0000-0002-4088-5371","authenticated-orcid":false,"given":"Dong","family":"Qiu","sequence":"additional","affiliation":[{"name":"College of Science, Chongqing University of Post and Telecommunication, Chongqing 400065, China"}],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"1968","published-online":{"date-parts":[[2017,8,15]]},"reference":[{"key":"ref_1","first-page":"338","article-title":"Information and control","volume":"8","author":"Zadeh","year":"1965","journal-title":"Fuzzy sets"},{"key":"ref_2","unstructured":"Bector, C.R., and Chandra, S. 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