Using grey difference degree, multi-objective optimization design can be converted to single objective optimization.
针对多目标优化设计中存在的问题，提出了灰色差异度的方法。
The problem of fuzzy optimization of two objectives is transformed into single objective problem by means of the fuzziness of optimum solutions of single objective.
通过把单目标最优解模糊化，将双目标模糊优化问题转化为单目标极小化极大问题求解；
The application scope of differential evolution algorithm is extended to a general multi-objective optimization from unconstrained single-objective optimization.
将微分进化算法的应用范围从求解无约束单目标优化推广到求解一般情形的多目标优化。
The single stage skewed tooth cylindrical gears reduction gear optimized design, is a multi-objective optimization question.
单级斜齿圆柱齿轮减速器的优化设计，是一个多目标优化问题。
Secondly, multi-objective optimization problem is reformulated into a nonlinear single-objective programming problem by means of fuzzy satisfaction-maximizing method.
采用最大模糊满意度法将多目标优化问题转化为单目标非线性规划问题；
One advantage of multi-objective genetic optimization algorithms over classical approaches is that many non-dominated solutions can be simultaneously obtained by their single run.
多目标遗传优化算法的一个优点就是可在一次迭代计算中寻找到问题的多个非劣最优解。
In this paper, the general form of solution for multi - objective fussy optimization which can be turned into an ordinary single-objective programming is expounded.
本文给出了将多目标模糊优化转化为普通单目标规划的一般形式。
The optimization with single-objective and single-constraint is realized by using a technique of multiplier penalty functions.
在此基础上，采用乘子惩罚函数法进行求解，并通过算例证明该方法的正确性和可行性。
Finally, the article mainly researches the problems of single-objective optimization in scheduling contingency resources, and points out the limitations of single-objective optimized model.
最后，着重研究应急资源调度的单目标优化问题，并指出了单目标优化模型的局限性。
The structural candidates of centrifugal impeller were designed respectively from single-objective and multi-objective optimization based on the system design of liquid propellant rocket engine.
根据液体火箭发动机系统设计确定的离心泵的性能参数，对泵叶轮的几何参数分别进行了单目标和多目标优化设计。
And then comparative analysis between decision-making results of multi-objective optimization model and the one of single-objective optimization model was done.
并将多目标优化模型的决策结果和单目标优化模型决策结果进行对比分析。
The mathematical model for optimization and some analytical results of single- and multi-objective optimization for a variety of twisted blades are also presented in this paper.
介绍了用于最优设计的数学模型，给出了各种流型下径—轴流涡轮的单目标和多目标优化分析的一些结果。
The optimal design of hot rolling process was finally realized by the employment of single-and multi-objective particle swarm optimization method.
并结合单目标和多目标粒子群算法，实现了热轧工艺的优化设计。
The optimal design of hot rolling process was finally realized by the employment of single-and multi-objective particle swarm optimization method.
并结合单目标和多目标粒子群算法，实现了热轧工艺的优化设计。
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