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A flexible approach to ranking with an application to MBA Programs

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  • Köksalan, Murat
  • Büyükbasaran, Tayyar
  • Özpeynirci, Özgür
  • Wallenius, Jyrki

Abstract

We develop a model for flexibly ranking multi-dimensional alternatives/units into preference classes via Mixed Integer Programming. We consider a linear aggregation model, but allow the criterion weights to vary within pre-specified ranges. This allows the individual alternatives/units to play to their strengths. We illustrate the use of the model by considering the Financial Times Global MBA Program rankings and discuss the implications. We argue that in many applications neither the data nor the weights or the aggregation model itself is precise enough to warrant a complete ranking, providing an argument for sorting or what we call flexible ranking.

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  • Köksalan, Murat & Büyükbasaran, Tayyar & Özpeynirci, Özgür & Wallenius, Jyrki, 2010. "A flexible approach to ranking with an application to MBA Programs," European Journal of Operational Research, Elsevier, vol. 201(2), pages 470-476, March.
    • Handle: RePEc:eee:ejores:v:201:y:2010:i:2:p:470-476
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    References listed on IDEAS

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    Cited by:

    1. Akram Dehnokhalaji & Pekka J. Korhonen & Murat Köksalan & Nasim Nasrabadi & Diclehan Tezcaner Öztürk & Jyrki Wallenius, 2014. "Constructing a strict total order for alternatives characterized by multiple criteria: An extension," Naval Research Logistics (NRL), John Wiley & Sons, vol. 61(2), pages 155-163, March.
    2. Canan Ulu & Murat Köksalan, 2014. "An interactive approach to multicriteria sorting for quasiconcave value functions," Naval Research Logistics (NRL), John Wiley & Sons, vol. 61(6), pages 447-457, September.
    3. Ahti Salo & Antti Punkka, 2011. "Ranking Intervals and Dominance Relations for Ratio-Based Efficiency Analysis," Management Science, INFORMS, vol. 57(1), pages 200-214, January.
    4. Korhonen, Pekka J. & Silvennoinen, Kari & Wallenius, Jyrki & Öörni, Anssi, 2012. "Can a linear value function explain choices? An experimental study," European Journal of Operational Research, Elsevier, vol. 219(2), pages 360-367.
    5. Nasrabadi, Nasim & Dehnokhalaji, Akram & Korhonen, Pekka & Lokman, Banu & Wallenius, Jyrki, 2022. "Robustness of efficiency scores in data envelopment analysis with interval scale data," European Journal of Operational Research, Elsevier, vol. 297(3), pages 1151-1161.
    6. Greco, Salvatore & Słowiński, Roman & Wallenius, Jyrki, 2025. "Fifty years of multiple criteria decision analysis: From classical methods to robust ordinal regression," European Journal of Operational Research, Elsevier, vol. 323(2), pages 351-377.
    7. Dehnokhalaji, Akram & Korhonen, Pekka J. & Köksalan, Murat & Nasrabadi, Nasim & Wallenius, Jyrki, 2010. "Efficiency analysis to incorporate interval-scale data," European Journal of Operational Research, Elsevier, vol. 207(2), pages 1116-1121, December.
    8. Murat Köksalan & Vincent Mousseau & Selin Özpeynirci, 2017. "Multi-Criteria Sorting with Category Size Restrictions," International Journal of Information Technology & Decision Making (IJITDM), World Scientific Publishing Co. Pte. Ltd., vol. 16(01), pages 5-23, January.
    9. Antti Punkka & Ahti Salo, 2014. "Scale Dependence and Ranking Intervals in Additive Value Models Under Incomplete Preference Information," Decision Analysis, INFORMS, vol. 11(2), pages 83-104, June.

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