| 非线性不等式与等式约束的多目标规划问题的区间极大熵方法 |
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| 引用本文： | 黄时祥. 非线性不等式与等式约束的多目标规划问题的区间极大熵方法[J]. 数学的实践与认识, 2007, 37(5): 83-88 |
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| 作者姓名： | 黄时祥 |
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| 作者单位： | 南京大学,数学系,南京,210093;上饶师范学院,数学与计算机系,江西,上饶,334001 |
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| 摘 要： | 利用极大熵方法将带多个非线性不等式约束和多个非线性等式约束的多目标规划问题变为两个非线性不等式约束的单个可微的目标函数优化问题,并结合区间分析知识给出一种新的解决多目标规划问题的区间方法.
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| 关 键 词： | 多目标规划 区间算法 极大熵函数 |
| 修稿时间： | 2006-11-01 |
A Interval Maximum-entropy Method for Multiobjective Optimization Problems of Nonliner Inequality and Equality constrain |
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| HUANG Shi-xiang. A Interval Maximum-entropy Method for Multiobjective Optimization Problems of Nonliner Inequality and Equality constrain[J]. Mathematics in Practice and Theory, 2007, 37(5): 83-88 |
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| Authors: | HUANG Shi-xiang |
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| Abstract: | Based on the maximum entropy principle,a new evaluation function method is given for solving multiobjective programming in this paper.Its characteristic is that it can transform a multiobjective programming with some nonliner inequal and some liner inequal constraints into a uniobjective programming with two nonliner inequal constraints.Combining with interval analysis method,we present a new kind of interval algorithms.The results of the numerical examples show the high efficiency and stability of these methods. |
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| Keywords: | multiobjective optimization interval algorithm maximum-entropy function |
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