一类决策问题中导出偏好关系的分类方法
On categorical approach to derived preference relations in some decision making problems
摘要：
被称为决策问题的结构。结果（后果）的集合根据决策者的偏好部分排序。问题是这些偏好如何影响决策者偏好他的一个策略（或行为）而不是另一个策略（或行为），即描述所谓的派生偏好关系。利用范畴论方法将该问题形式化，并将其归结为一个纯代数问题。提出了一种有效的方法来建立所有合理的派生偏好关系，并相互比较。
英文摘要：
A structure called a decision making problem is considered. The set of outcomes (consequences) is partially ordered according to the decision maker's preferences. The problem is how these preferences affect a decision maker to prefer one of his strategies (or acts) to another, i.e. it is to describe so called derived preference relations. This problem is formalized by using category theory approach and reduced to a pure algebraical question. An effective method is suggested to build all reasonable derived preferences relations and to compare them with each other.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
