1. It is OK that western economics thinks sound assignment system is spent fall in condition of established wealth of society, the Pareto that implementation society money wins is best.

西方经济学认为合理的分配制度可以在既定的社会财富条件下，实现社会财赢的帕累托最优。

2. According to the Pareto Principle, 80% of your results will come from 20% of your activities.

根据泊拉图原则，你 80%的成就来自于你 20%的活动。

3. Pareto在线翻译

3. In reality, it is nonexistent that Pareto is improved.

现实中，帕累托改进是不存在的。

4. In Pareto's case it meant 20 percent of the people owned 80 percent of the wealth.

而 帕雷多的只是得出了20%的人拥有社会财富的80%这样的结论。

5. The most important notions of Pareto efficiency are also presented.

帕累托效率的最重要的概念是还介绍。

6. What is the purpose of a `Pareto` analysis?

帕累托分析的目的是什么？

7. A century ago Pareto observed that 80% of the wealth in Italy went to 20% of the population.

一个世纪以前，Pareto观察到意大利80%的财产掌握在20%的人手中。

8. This paper introduces the development of Pareto Distribution Family and it's application in Economics, Sociology, Euthenics and Actuarial Statistics.

本文首先对Pareto分布的发展作了简单的介绍，并介绍了Pareto分布族在经济学、社会学、环境学、保险精算学中的广泛应用。

9. Thirdly, an external archive technique was set up, and through calculating the degree of dispersion, an appropriate update strategy was adopted to uniformly approximate the Pareto optimal solution set step-by-step.

还设置了外部优解库，并通过分散度计算，以适当的策略进行更新，使之逐步均匀地逼近于Pareto最优解集。

10. Moreover, the inertia weight self-adjusting mechanism and Pareto-optimal set are introduced into the particle swarm optimization and an improved multi-objective particle swarm optimization is established. And then, the IMOPSO is employed to solve the optimal model and obtain the Pareto-optimal front. A case study shows that the former method is able to obtain the Pareto-optimal front with fine distribution properties.

同时，鉴于传统约束法和权重法的不足，本章结合Pareto最优解的概念在微粒群算法中引入惯性权重自适应调节机制和Pareto优解库机制形成改进多目标微粒群算法，然后运用该算法对上述多目标优化模型直接求解以得到水库多目标优化问题的Pareto最优前沿。

11. This article indicates that the cooperation between harbors can improve mutual benefits and update Pareto by Bertrand Model analysis.

通过Bertrand寡占模型的分析，确定了港口间的合作协商可以提高彼此的收益，即取得Pareto改进。

12. After Pareto made his observation and created his formula, many others observed similar phenomena in their own areas of expertise. Quality Management pioneer, Dr.

在帕雷多经过观察并建立了模型之后，许多人都在他们各自的领域发现了同样的现象，20世纪30-40年代，当时正工作在美国的质量工程师Joseph M。

13. A new kind of filter for Pareto solutions is presented. And a kind of critertion judging the stagnation of the particles in particle swarm optimization based on the filter is proposed. Based on which, a kind of multi-objective particle swarm optimization algorithm is proposed.

通过设计一种Pareto解集过滤器，并在此基础上给出多目标优化条件下的微粒群算法群体停滞判断准则，基于该准则提出了一种多目标微粒群优化算法。

14. Some examples of such tools include real-time X-bar and R charts, X-bar and S charts, and Pareto charts.

举例来说，这些工具包括实时 X 条线图和 R 图表、X 条线图和 S 图表，以及帕累托图表。

15. Statistical simulations have been done on two parameter estimation approaches, namely, the matrix method and the probability weight matrix method by using the Monte Carlo method. And the results show that the probability weight matrix method has a good non-deviation behavior for the generalized Pareto distribution.

采用蒙特卡罗方法对矩法及概率权重矩法两种参数估计方法进行了统计实验，结果显示，对于广义Pareto分布，概率权重矩法具有良好的不偏性。

16. Chapter 1, based on Pareto optimality or called efficiency, extends the con-cepts of convex conjugate functions and subdifferentials etc., which are usedcommonly in the duality theory of nonlinear programming, to the case ofmulti-dimensional point-to-set maps with some domination structure, devel-ops D-Ω conjugate maps and D-Ω subdifferentials theory ofmulti-dimensional point-to-set maps, and by means of this theory, putts for-ward and studies a duality theory of multiobjective set-valuedprogramming——D-Ω conjugate duality theory for efficient solutions, in which, the corresponding weak, strong and inverse duality theorems are dis-cussed and proposed, and the saddle-point result for the generalizedLagrangian called D-Ω Lagrangian is given.

本文第一章就非线性规划对偶理论中广泛采用的凸共轭函数和次梯度等概念作了极有意义的推广，基于Pareto最优性或称有效性推广到了带有优势结构的多维点集映象的情形，建立了多维点集映象的D—Ω共轭映象及D—Ω次微分理论，并由此提出和研究了一种多目标集值规划问题的对偶理论——基于有效性或称关于有效解的D—Ω共轭对偶理论，讨论了相应的强、弱、逆对偶性等问题，并就推广的多维D—Ω拉格朗日式给出了多目标情形的鞍点结果。

17. Pareto efficient redistribution occurs when on one is made worse off as a result of a transfer.

当没有任何人因为财富重新分配而状况变坏的话，帕累托效率就出现了。

18. To say that an action is pareto superior is to say only that at least one person is higher along his or hers preference ranking, while no one else is any worse off with respect to his or hers.

我们说一个行为是帕累托更优的意思也就是没有人的境况比其偏好的更差，但至少有一个人的偏好得到了满足。

19. An allocation of resources is pareto superior to an alternative allocation if and only if no one is made worse off by the distribution and the welfare of at least one person is improved.

如果没有谁的境况因分配而变得更糟，并且至少一个人的福利得到了改善时，就可以说，相比于其他的配置，这种资源配置是帕累托更优的。

20. If utilitarianism is wron9, a proponent of economic analysis has a choice: He or she can either abandon the normative use of the Pareto criteria in favor of a nonutility — based efficiency criterion or try to construct nonuti1itarian normative arguments for the Pareto criteria...

如果功利主义是错误的，那么经济学分析的支持者就有了一个选择：即或是为了非效用基础效率标准，他或她可以抛弃帕累托标准的规范用途，或是为了帕累托规范构建非功利主义规范的观点。