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求解非线性约束区间值规划的免疫遗传算法
发表时间：2014-07-15 浏览量：1986 下载量：827
| 全部作者： | 章明星，张著洪 |
| 作者单位： | 贵州大学系统科学及信息技术研究所 |
| 摘 要： | 基于区间序和可能度概念，研究非线性约束区间值规划（interval-valued programming，IVP）的转化形式，建立免疫遗传算法求解转化后的IVP问题。算法设计中，利用免疫遗传算法产生优质个体参与进化；借助区间约束支配将进化群化分为优质、劣质子群；通过免疫算子和个体检测，促使各子群遍历性地搜索优质和多样的个体。比较性的数值实验结果显示：免疫遗传算法求解IVP问题是可行和有效的。 |
| 关 键 词： | 最优化；非线性约束区间值规划；区间可能度；免疫遗传算法；区间运算；区间序 |
| Title： | Immune genetic algorithm for solving nonlinear constrained interval-valued programming |
| Author： | ZHANG Mingxing, ZHANG Zhuhong |
| Organization： | Institute of System Science & Information Technology, Guizhou University |
| Abstract： | This work investigates the transformation of nonlinear constrained interval-valued programming (IVP) based on the concepts of interval order and possibility, and develops one immune genetic algorithm for the transformed IVP. In the design of algorithm, some high-quality individuals produced by the basic genetic algorithm are admitted to participate in evolution, and meanwhile the current population is divided into elitist and non-selected subpopulations by means of interval-constraint dominance. Such subpopulation search for high-quality and diverse individuals is along with different directions, relying upon immune operators and individual detection. Comparatively numerical experiments show that the proposed method is available and effective for IVP problems. |
| Key words： | optimization; nonlinear constrained interval-valued programming; interval possibility; immune genetic algorithms; interval arithmetic; interval order |
| 发表期数： | 2014年7月第13期 |
| 引用格式： | 章明星，张著洪. 求解非线性约束区间值规划的免疫遗传算法[J]. 中国科技论文在线精品论文，2014，7（13）：1260-1265. |
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