# A Mathematical Programming Approach for Multiple Criteria Sorting Problems

2019-06-16
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.
25th International Conference on Multiple Criteria Decision Making (16 Haziran 2019)

# Suggestions

 A Mathematical programming evaluation approach for multiple criteria sorting problems Civelek, Merve; Karasakal, Esra; Department of Operational Research (2019) 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 without specifying class thresholds between preference-ordered classes. The aim of the proposed method is to assign each alternative to one class or a set of possible adjacent classes considering the distance to class centroids. In the proposed metho...
 A multiple criteria sorting approach based on distance functions Çelik, Bilge; Karasakal, Esra; İyigün, Cem; Department of Industrial Engineering (2011) Sorting is the problem of assignment of alternatives into predefined ordinal classes according to multiple criteria. A new distance function based solution approach is developed for sorting problems in this study. The distance to the ideal point is used as the criteria disaggregation function to determine the values of alternatives. These values are used to sort them into the predefined classes. The distance function is provided in general distance norm. The criteria disaggregation function is determined ac...
 A Probabilistic and interactive approach to multiple criteria sorting Mutlu, Sinem; Köksalan, Murat; Serin, Yaşar Yasemin; Department of Industrial Engineering (2015) In this thesis, we develop a method in order to assign alternatives that are evaluated by multiple criteria into preference ordered classes probabilistically. Our motivation is that; when there are large sets of alternatives, placement could be realized in a fast and effective way based on a reasonable misclassification ratio. We assume that the underlying utility function of Decision Maker (DM) is additive. We first ask DM to place reference alternatives into the classes. We develop an interactive probabil...
 An interactive probabilistic approach to multi-criteria sorting BUGDACI, Asli Gul; KOKSALAN, Murat; Ozpeynirci, Selin; Serin, Yaşar Yasemin (2013-10-01) This article addresses the problem of sorting alternatives evaluated by multiple criteria among preference-ordered classes. An interactive probabilistic sorting approach is developed in which the probability of an alternative being in each class is calculated and alternatives are assigned to classes keeping the probability of incorrect assignments below a specified small threshold value. The decision maker is occasionally required to place alternatives to classes. The probabilities for unassigned alternativ...
 A New Outranking-Based Approach for Assigning Alternatives to Ordered Classes Köksalan, Mustafa Murat; Mousseau, Vincent; Ozpeynirci, Oezguer; Ozpeynirci, Selin Bilgin (Wiley, 2009-02-01) We consider the problem of assigning alternatives evaluated on several criteria into ordered categories C(1), C(2), ..., C(p). This problem is known as the multi-criteria sorting problem and arises in many situations such as classifying countries into different risk levels based on economical and socio-political criteria, evaluating credit applications of bank customers. We are interested in sorting methods that are grounded on the construction Of Outranking relations. Among these, the Electre Tri method re...
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.