A Mathematical Programming Approach for Multiple Criteria Sorting Problems

Civelek, Merve
Karasakal, Esra
Multiple criteria sorting problem is to assign alternatives, evaluated according to multiple criteria, into predefined preference ordered classes. In this study, a new distance metric based sorting method is developed to solve multiple criteria sorting problems. The aim of the proposed method is to assign each alternative to one class or a set of possible adjacent classes. In the proposed method, centroids of the classes are estimated using sample preference set provided by the decision maker. Distance to the centroids are used as a criteria aggregation function. A mathematical model is formulated to determine the weights of the distance metric. Assignment is performed according to the weighted distance of each alternative to each class’ centroids. The proposed method is applied to different data sets and its performance is compared with other methods in literature.
Citation Formats
M. Civelek and E. Karasakal, “A Mathematical Programming Approach for Multiple Criteria Sorting Problems,” presented at the 25th International Conference on Multiple Criteria Decision Making (16 Haziran 2019), İstanbul, Türkiye, 2019, Accessed: 00, 2021. [Online]. Available: https://hdl.handle.net/11511/84555.