An interactive probabilistic approach to multi-criteria sorting

Date

2013-10-01

Author

BUGDACI, Asli Gul
KOKSALAN, Murat
Ozpeynirci, Selin
Serin, Yaşar Yasemin

Metadata

Show full item record

This work is licensed under a Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International License.

Item Usage Stats

93
views

0
downloads

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 alternatives are updated in light of the new information and the procedure is repeated until all alternatives are classified. This is the first sorting approach reported in the literature to use an explicit probability of classifying alternatives that is consistent with the underlying preference structure of the decision maker. The proposed approach is demonstrated in a problem concerning the sorting MBA programs.

Subject Keywords

Multi-criteria sorting, Additive utility function, Interactive approach

URI

https://hdl.handle.net/11511/42826

Journal

IIE TRANSACTIONS

DOI

https://doi.org/10.1080/0740817x.2012.721945

Collections

Department of Industrial Engineering, Article

Suggestions

OpenMETU
Core

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...
Linear approximations and extensions to distance based multicriteria sorting methods Taş, Hasan; Karasakal, Esra; Department of Industrial Engineering (2022-8-26) Multicriteria sorting is the assignment of alternatives to predefined preference ordered classes. In this thesis, linear approximations to nearest centroid and distance-based multicriteria sorting methods are studied. Three studies are conducted. The first study is the linearization of a nearest centroid based method. In the second study, the nearest centroid classifier method is investigated under monotonic centroids and a new linear programming model is developed based on the feasibility and redundancy co...
A probabilistic multiple criteria sorting approach based on distance functions ÇELİK, BİLGE; Karasakal, Esra; İyigün, Cem (2015-05-01) In this paper, a new probabilistic distance based sorting (PDIS) method is developed for multiple criteria sorting problems. The distance to the ideal point is used as a criteria disaggregation function to determine the values of alternatives. These values are used to sort alternatives into the predefined classes. The method also calculates probabilities that each alternative belong to the predefined classes in order to handle alternative optimal solutions. It is applied to five data sets and its performanc...
A Mathematical Programming Approach for Multiple Criteria Sorting Problems Civelek, Merve; Karasakal, Esra (2019-06-16) 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 t...
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...

Citation Formats

A. G. BUGDACI, M. KOKSALAN, S. Ozpeynirci, and Y. Y. Serin, “An interactive probabilistic approach to multi-criteria sorting,” IIE TRANSACTIONS, pp. 1048–1058, 2013, Accessed: 00, 2020. [Online]. Available: https://hdl.handle.net/11511/42826.