ABSTRACT

In the study of two-sided matching decision problems, preference ordinal information is a key factor. However, in real life, it is often difficult to ascertain complete preference ordinal information, and in most cases we can only obtain an interval-valued preference ordinal information. In this paper, a strict two-sided matching based on multi-attribute interval-valued preference ordinal information is discussed. As a generalised decision model, the strict two-sided matching adequately considers the requirement of satisfaction degree of two-sided agents. Firstly, the ranking method of probability degree is introduced to deal with the information of various interval numbers. Then, in the case of multiple attributes, we propose two methods for strict two-sided matching problem. The one is to aggregate multi-attribute satisfaction degree and then construct the decision model. The another is to separately deal with the interval-valued preference ordinal information of each attribute and then design the corresponding model. Finally, in the context of Internet finance, we adopt an example of the venture capital two-sided matching problem to illustrate our proposed methods and confirm the effectiveness.

摘要

在双边匹配决策问题的研究中，偏好序数信息是一个关键因素。然而，在现实生活中，往往很难确定完整的偏好序数信息，而且在大多数情况下我们只能获得区间值的偏好序数信息。本文讨论了一种基于多属性区间值偏好序数信息的严格双边匹配。严格双边匹配作为一种广义的决策模型，充分考虑了双边代理的满意度要求。首先，引入概率度排序方法来处理各种区间数的信息。然后，在多属性的情况下，我们提出了两种严格的双边匹配问题的方法。一是聚合多属性满意度，构建决策模型。另一种是分别处理每个属性的区间值偏好序数信息，然后设计相应的模型。最后，在互联网金融的背景下，我们以风险投资双边匹配问题为例来说明我们提出的方法并确认其有效性。