| 强E-凸集,强E-凸函数和强E-凸规划 |
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| 引用本文： | 赵克全.强E-凸集,强E-凸函数和强E-凸规划[J].宝鸡文理学院学报(自然科学版),2004,24(2):101-103. |
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| 作者姓名： | 赵克全 |
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| 作者单位： | 重庆师范大学,数学与计算机科学学院,重庆,400047 |
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| 摘 要： | 在E-凸集与E-凸函数定义的基础上,通过将E-凸集和E-凸函数的定义加强而得到强E-凸集与强E-凸函数的定义.它们的一些特征被讨论.虽然这种定义的条件比E-凸集和E-凸函数的条件更强.但通过这种定义,E-凸规划的条件被减弱了,从而扩大了E-凸规划的实用范围.
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| 关 键 词： | E-凸集 E-凸函数 强E-凸集 强E-凸函数 |
| 文章编号： | 1007-1261(2004)02-0101-03 |
| 修稿时间： | 2003年10月20日 |
Strong E-convex set,strong E-convex function and strong E-convex programming |
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| ZHAO Ke-quan.Strong E-convex set,strong E-convex function and strong E-convex programming[J].Journal of Baoji College of Arts and Science(Natural Science Edition),2004,24(2):101-103. |
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| Authors: | ZHAO Ke-quan |
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| Abstract: | Under the definition of E-convex set and E-convex function, by strengthing the definitions of E-convex set and E-convex function, the definitions of strong E-convex set and strong E-convex function were got. Some properties were discussed. Although the conditions of the definition are stronger than E-convex set and E-convex function, by the definition ,some conditions of E-convex programming were eliminated. Thus the applied scope of E-convex programming was extended. |
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| Keywords: | E-convex set E-convex function strong E-convex set strong E-convex function |
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