Solution and applications of multi-objective optimization problems with distributed multiple evaluators

针对现有方法无法解决的一类多目标优化问题，提出了一种求解方法。在求解多目标优化问题时，决策者需要根据多个评价标准从多个备选方案中选择最优方案，而评价者的偏好是决定哪一个评价标准更重要的重要因素。现有的方法假设决策者和评估者是同一个人，而在现实中存在的问题，他们是不同的人。针对这类问题，提出了一种能够正确估计评价者偏好并据此求解的方法，并通过应用实例验证了该方法的有效性。

In this study a solution method was proposed for a class of multi-objective optimization problems which had not been addressed by the existing methods. When solving a multi-objective optimization problem where the decision maker finds the best alternative among a number of alternatives based on multiple evaluation criteria, the preference of the evaluator is necessary which indicates which criterion is more important than the others. The existing methods assume that the decision maker and the evaluator are the same person, while in reality there are problems where they are distinct persons. For this kind of problems, a method was developed which can properly estimate the evaluator's preference and find the solution based on it, and its validity was confirmed by application examples.