使用基因算法和模糊的多目标优化方面的英文原版书籍!

这是 FMDE 的 matlab 代码。 FMDE 使用性能指标，特别是超体积、间距和最大扩展来衡量演化过程的状态。 作者将模糊推理规则应用于这些指标，以调整该算法中使用的所选变异策略的关联控制参数。 因此，作者可以通过性能反馈来适当调整探索和利用的程度。 FMDE 的详细信息可以在[1] Jariyatantiwait, C. 和 Yen, GG，“使用性能指标的模糊多目标差分进化反馈”，进化计算 (CEC)，2014 年 IEEE 大会，第 1959-1966 页，2014 年 7 月。 [2] Jariyatantiwait, C., & Yen, GG (2014)。 基于模糊性能的多目标差分进化反馈。 国际群体智能研究杂志 (IJSIR)，5(4) 45-64。

K. Miettinen, Nonlinear Multiobjective Optimization. Norwell, A:Kluwer, 1999. Problems with multiple objectives and criteria are generally known as multiple criteria optimization or multiple criteria decision-making (MCDM) problems. So far, these types of problems have typically been modelled and solved by means of linear programming. However, many real-life phenomena are of a nonlinear nature, which is why we need tools for nonlinear programming capable of handling several conflicting or incommensurable objectives. In this case, methods of traditional single objective optimization and linear programming are not enough; we need new ways of thinking, new concepts, and new methods - nonlinear multiobjective optimization. Nonlinear Multiobjective Optimization provides an extensive, up-to-date, self-contained and consistent survey, review of the literature and of the state of the art on nonlinear (deterministic) multiobjective optimization, its methods, its theory and its background. The amount of literature on multiobjective optimization is immense. The treatment in this book is based on approximately 1500 publications in English printed mainly after the year 1980. Problems related to real-life applications often contain irregularities and nonsmoothnesses. The treatment of nondifferentiable multiobjective optimization in the literature is rather rare. For this reason, this book contains material about the possibilities, background, theory and methods of nondifferentiable multiobjective optimization as well. This book is intended for both researchers and students in the areas of (applied) mathematics, engineering, economics, operations research and management science; it is meant for both professionals and practitioners in many different fields of application. The intention has been to provide a consistent summary that may help in selecting an appropriate method for the problem to be solved. It is hoped the extensive bibliography will be of value to researchers.

2002 Deb提出的NSGA-II

在不确定的环境中灵活的车间调度在现实世界的制造系统中起着重要的作用。 为了捕捉柔性作业车间调度的不确定性和多目标性质，构建了多目标随机柔性作业车间调度问题（MOSFJSSP）的数学模型，该模型包含制造时间跨度，最大机器工作量和鲁棒性三个目标。在各种实际约束下，同时考虑不确定性。 基于统计工具定义了两个基于方案的新的鲁棒性度量。 为了适当地解决MOSFJSSP问题，开发了一种基于分解的改进多目标进化算法（m-MOEA / D）进行鲁棒调度。 我们方法的新颖之处在于，它采用了一种新的子问题更新方法，该方法利用了全球信息，允许保存在档案中的精英们参与子代的产生，采用子问题选择和中止策略，将更多的计算工作集中在有前途的子问题上，并结合了特定问题的遗传算子进行变异。 在18个问题实例上的广泛实验结果，包括8个总柔性实例和10个局部柔性实例，表明这两种新的鲁棒性度量比现有的基于情景的度量更为有效，可以提高进度对不确定性的鲁棒性并保持被破坏目标的较小方差价值观。 与最新的多目标优化进化算法（MOEA）相比，我们提出的基于m-MOEA / D的鲁棒调度方法可实现更好的收敛性能。 还分析了三个目标之间的不同权衡。

关于模糊随机多目标优化的电子书，经典著作，适合工学理学等领域

An updated survey of GA-based multiobjective optimization techniques.pdf

使用具有非支配二元排序的遗传算法NSGA-II（Deb，2002）进行多目标Traveller Salesman优化（Jensen，2003）。

这是关于网络模型与多目标优化遗传算法的电子书，高清，最新版本，经典著作，英文版

张青富经典论文MOEA/D: A Multiobjective Evolutionary Algorithm Based on Decomposition