阅读Book: MultiObjective using Evolutionary Algorithms (3) -----关于pareto最优的各种概念

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1. 在多目标优化算法中特殊的解

(1)Ideal Objective Vector

An objective vector constructed with these idividual optimal objective values.  每个目标的最优值组成的向量

用处: 用来作为一个边界吧。 因为并不一定存在

(2)Utopian Objective Vector

(3)Nadir Objective Vector

Unlike the ideal objective vector which represents the lower bound of each objective in the entire feasible search space, the nadir objective vecor Znad ,represents the upper bound of each objective in the entire Pareto-optimal set.

 

 

(4) domination

 

(5) Non-dominated set--具体的不同的目标设置的非支配解集

(6) globally and locally Pareto-optimal set

(7) Strong Dominance and Weekly Pareto-Optimality------可能就是强弱的性质不一样吧,现在作以区分

定义了各种概念,说来说去要做的

(1) 找非支配集-- pareto最优是非支配集的一个子集

(2)找出全局pareto 最优。

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