Constructing a strict total order for alternatives characterized by multiple criteria: An extension

Date

2014-03-01

Author

Dehnokhalaji, Akram
Korhonen, Pekka J.
Köksalan, Mustafa Murat
Nasrabadi, Nasim
Ozturk, Diclehan Tezcaner
Wallenius, Jyrki

Metadata

Show full item record

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

Item Usage Stats

201
views

0
downloads

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 to obtain a strict total order that provides a transitive ranking for the set of alternatives. (c) 2014 Wiley Periodicals, Inc. Naval Research Logistics 61: 155-163, 2014

Subject Keywords

Management Science and Operations Research, Modelling and Simulation, Ocean Engineering

URI

https://hdl.handle.net/11511/56728

Journal

NAVAL RESEARCH LOGISTICS

DOI

https://doi.org/10.1002/nav.21573

Collections

Department of Industrial Engineering, Article

Suggestions

OpenMETU
Core

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 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...
An interactive sorting method for additive utility functions Koeksalan, Murat; Oezpeynirci, Selin Bilgin (Elsevier BV, 2009-09-01) 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 alternativ...
A heuristic approach to bicriteria scheduling Köksalan, Mustafa Murat (Wiley, 1999-10-01) We consider the problem of sequencing jobs on a single machine while minimizing a nondecreasing function of two criteria. We develop a heuristic procedure that quickly finds a good solution for bicriteria scheduling. The procedure is based on using several arcs in the criterion space that are representative of the possible locations of nondominated solutions. By sampling a small number of points on these arcs, a promising point is identified in the criterion space for each are. An efficient sequence in the ...
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

A. Dehnokhalaji, P. J. Korhonen, M. M. Köksalan, N. Nasrabadi, D. T. Ozturk, and J. Wallenius, “Constructing a strict total order for alternatives characterized by multiple criteria: An extension,” NAVAL RESEARCH LOGISTICS, pp. 155–163, 2014, Accessed: 00, 2020. [Online]. Available: https://hdl.handle.net/11511/56728.