An interactive sorting method for additive utility functions

Koeksalan, Murat
Oezpeynirci, Selin Bilgin
In this paper, we consider the problem of placing alternatives that are defined by multiple criteria into preference-ordered categories. We consider a method that estimates an additive utility function and demonstrate that it may misclassify many alternatives even when substantial preference information is obtained from the decision maker (DM) to estimate the function. To resolve this difficulty, we develop an interactive approach. Our approach occasionally requires the DM to place some reference alternatives into categories during the solution process and uses this information to categorize other alternatives. The approach guarantees to place all alternatives correctly for a DM whose preferences are consistent with any additive utility function. We demonstrate that the approach works well using data derived from ranking global MBA programs as well as on several randomly generated problems.


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...
An interactive procedure for selecting acceptable alternatives in the presence of multiple criteria
Ulu, C; Köksalan, Mustafa Murat (Wiley, 2001-10-01)
In this paper, we consider the multiple criteria decision-making problem of partitioning alternatives into acceptable and unacceptable sets. We develop interactive procedures for the cases when the underlying utility function of the decision maker is linear, quasiconcave, and general monotone. We present an application of the procedures to the problem of admitting students to the master's degree program at the Industrial Engineering Department, Middle East Technical University. (C) 2001 John Wiley & Sons, Inc.
An approach for solving discrete alternative multiple criteria problems involving ordinal criteria
Köksalan, Murat; Karwan, Mark H.; Zionts, Stanley (Wiley, 1988-12)
The existence of ordinal criteria is a factor that complicates multiple criteria problems. In this article we develop an approach for the problem of choosing among discrete alternatives assuming that criteria are ordinal. The approach requires pairwise comparisons of alternatives by the decision maker. Based on these comparisons, presumably inferior alternatives are eliminated. Experience on randomly generated problems indicates that the approach usually chooses one of the most preferred alternatives and re...
Constructing a strict total order for alternatives characterized by multiple criteria: An extension
Dehnokhalaji, Akram; Korhonen, Pekka J.; Köksalan, Mustafa Murat; Nasrabadi, Nasim; Ozturk, Diclehan Tezcaner; Wallenius, Jyrki (Wiley, 2014-03-01)
The problem of finding a strict total order for a finite set of multiple criteria alternatives is considered. Our research extends previous work by us, which considered finding a partial order for a finite set of alternatives. We merge the preference information extracted from the preference cones and corresponding polyhedral sets, with the information derived from pairwise comparisons of two alternatives, yielding a preference matrix. This preference matrix is used as input to an integer programming model ...
A visual interactive approach for multiple criteria decision making with monotone utility functions
Köksalan, Mustafa Murat; Rizi, O (Informa UK Limited, 2001-06-01)
We consider the problem of choosing the best of a set of alternatives where each alternative is evaluated on multiple criteria. We develop a visual interactive approach assuming that the decision maker (DM) has a general monotone utility function. The approach partitions the criteria space into nonoverlapping cells. The DM uses various graphical aids to move between cells and to further manipulate selected cells with the goal of creating cells that have ideal points less preferred than an alternative. When ...
Citation Formats
M. Koeksalan and S. B. Oezpeynirci, “An interactive sorting method for additive utility functions,” COMPUTERS & OPERATIONS RESEARCH, pp. 2565–2572, 2009, Accessed: 00, 2020. [Online]. Available: