Abstract In the decision-making process, various approximate weighting methods such as equal weights, rank-order centroid weights, rank-sum weights, and rank reciprocal weights, have been proposed to deal with multi-attribute decision-making (MADM) problems in situations where only rank order information can be captured. In this paper, we seek to contribute fresh insights through the development of an integrated programming approach which unifies different weighting methods. From this integrated approach, a new weight method, rank order total weights (ROT) is introduced, and the assessment methods with associated programming equations, propositions and characteristics are carefully investigated. The effectiveness of this approach is demonstrated by using an illustration of real problem with U.S. business school ranking.

中文翻译：

---

对排名权重建模的综合方法

摘要 在决策过程中，人们提出了等权重、秩序质心权重、秩和权重、秩倒数权重等各种近似加权方法来处理多属性决策（MADM）问题。只能捕获排序信息的情况。在本文中，我们寻求通过开发统一不同加权方法的集成编程方法来贡献新的见解。从这种集成方法中，引入了一种新的权重方法，即排序总权重（ROT），并仔细研究了具有相关编程方程、命题和特征的评估方法。这种方法的有效性通过使用美国商学院排名的实际问题的说明来证明。