| B-vex Fuzzy Mappings and Its Application to Fuzzy Optimization Problems |
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| 作者姓名： | 刘德峰 |
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| 摘 要： | Ｂ－ｖｅｘＦｕｚｚｙＭａｐｐｉｎｇｓａｎｄＩｔｓＡｐｐｌｉｃａｔｉｏｎｔｏＦｕｚｚｙＯｐｔｉｍｉｚａｔｉｏｎＰｒｏｂｌｅｍｓ￥ＬｉｕＤｅｆｅｎｇ（ＩｎｓｔｉｔｕｔｅｏｆＱｕａｎｔｉｔａｔｉｖｅＥｃｏｎｏｍｉｃｓ，ＤｏｎｇｂｅｉＵｎｉｖｅｒｓｉｔｙＯｆ...
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B-vex Fuzzy Mappings and Its Application to Fuzzy Optimization Problems |
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| Liu Defeng.B-vex Fuzzy Mappings and Its Application to Fuzzy Optimization Problems[J].Chinese Quarterly Journal of Mathematics,1996(4). |
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| Authors: | Liu Defeng |
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| Abstract: | The concept of b-vex and logarithmic b-vex for fuzzy mappings are introduced by relaxing the definition of convexity of a fuzzy mapping. Most of the basic properties of b-vex fuzzy mapping are discussed and established for the nondifferentiable case. Necessary and sufficient conditions for b-vex fuzzy mapping are presented. Sevaral important results are given for nonlinear fuzzy optimization problems assuming that the objective and constraint functions are b-vex fuzzy mappings. |
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| Keywords: | fuzzy set fuzzy numbers fuzzy distanced convex fuzzy sets b-vex fuzzy mapping logarithmic b-vex fuzzy mapping |
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