{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,7,30]],"date-time":"2025-07-30T14:49:43Z","timestamp":1753886983740,"version":"3.41.2"},"reference-count":16,"publisher":"Wiley","issue":"1","license":[{"start":{"date-parts":[[2012,6,13]],"date-time":"2012-06-13T00:00:00Z","timestamp":1339545600000},"content-version":"vor","delay-in-days":164,"URL":"http:\/\/creativecommons.org\/licenses\/by\/3.0\/"}],"funder":[{"DOI":"10.13039\/501100001809","name":"National Natural Science Foundation of China","doi-asserted-by":"publisher","award":["71161001","72010Y041"],"award-info":[{"award-number":["71161001","72010Y041"]}],"id":[{"id":"10.13039\/501100001809","id-type":"DOI","asserted-by":"publisher"}]},{"name":"Science Foundation of Beifang University of Nationalities","award":["71161001","72010Y041"],"award-info":[{"award-number":["71161001","72010Y041"]}]}],"content-domain":{"domain":["onlinelibrary.wiley.com"],"crossmark-restriction":true},"short-container-title":["Journal of Applied Mathematics"],"published-print":{"date-parts":[[2012,1]]},"abstract":"<jats:p>This paper deals with bimatrix games in uncertainty environment based on several types of ordering, which Maeda proposed. But Maeda\u2019s models was just made based on symmetrical triangle fuzzy\nvariable. In this paper, we generalized Maeda\u2019s model to the non\u2010symmetrical environment. In other words, we investigated the fuzzy bimatrix games based on nonsymmetrical <jats:italic>L<\/jats:italic>\u2010<jats:italic>R<\/jats:italic> fuzzy variables. Then the pseudoinverse of a nonconstant monotone function was given and the concept of crisp parametric bimatrix games was introduced. At last, the existence condition of Nash equilibrium strategies of the fuzzy bimatrix games is proposed and (weak) Pareto equilibrium of the fuzzy bimatrix games was obtained through the Nash equilibrium of the crisp parametric bimatrix.<\/jats:p>","DOI":"10.1155\/2012\/824790","type":"journal-article","created":{"date-parts":[[2012,6,13]],"date-time":"2012-06-13T21:01:40Z","timestamp":1339621300000},"update-policy":"https:\/\/doi.org\/10.1002\/crossmark_policy","source":"Crossref","is-referenced-by-count":4,"title":["Characterization of the Equilibrium Strategy of Fuzzy Bimatrix Games Based on <i>L<\/i>\u2010<i>R<\/i> Fuzzy Variables"],"prefix":"10.1155","volume":"2012","author":[{"given":"Cun-lin","family":"Li","sequence":"first","affiliation":[]}],"member":"311","published-online":{"date-parts":[[2012,6,13]]},"reference":[{"key":"e_1_2_6_1_2","doi-asserted-by":"publisher","DOI":"10.1073\/pnas.36.1.48"},{"key":"e_1_2_6_2_2","doi-asserted-by":"publisher","DOI":"10.2307\/1969529"},{"key":"e_1_2_6_3_2","doi-asserted-by":"publisher","DOI":"10.1016\/0165-0114(78)90003-9"},{"key":"e_1_2_6_4_2","doi-asserted-by":"publisher","DOI":"10.1016\/0165-0114(89)90260-1"},{"key":"e_1_2_6_5_2","doi-asserted-by":"publisher","DOI":"10.1016\/0020-0255(81)90017-7"},{"key":"e_1_2_6_6_2","doi-asserted-by":"publisher","DOI":"10.1007\/978-3-7908-1830-7"},{"key":"e_1_2_6_7_2","doi-asserted-by":"publisher","DOI":"10.1016\/S0165-0114(98)00455-2"},{"key":"e_1_2_6_8_2","doi-asserted-by":"publisher","DOI":"10.1023\/B:FODM.0000036866.18909.f1"},{"volume-title":"Fuzzy Mathematical Programming and Fuzzy Matrix Games","year":"2005","author":"Bector C. 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