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Integrating Prometheeii With The Tchebycheff Function For Multi Criteria Decision Making

Author

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  • BANU SOYLU

    (Department of Industrial Engineering, Erciyes University, 38039 Kayseri, Turkey)

Abstract

Choice problem is related to finding the best compromise alternative or a set of alternatives among various options by considering conflicting criteria. PrometheeII is one of the well-known decision making methods that has been successfully applied to this problem. However, both our experiments and the other results from literature show that the PrometheeII algorithm performs better especially for problems having convex frontier. In this study, PrometheeII is integrated with the Tchebycheff function, which is capable of reaching efficient alternatives located at non-convex part of the efficient frontier. An experimental study is performed on the integrated procedure, PrometheeII and the multiplicative version of PrometheeII by using different test problems from the multi objective optimization literature.

Suggested Citation

  • Banu Soylu, 2010. "Integrating Prometheeii With The Tchebycheff Function For Multi Criteria Decision Making," International Journal of Information Technology & Decision Making (IJITDM), World Scientific Publishing Co. Pte. Ltd., vol. 9(04), pages 525-545.
    • Handle: RePEc:wsi:ijitdm:v:09:y:2010:i:04:n:s0219622010003944
    DOI: 10.1142/S0219622010003944
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    Cited by:

    1. Peng, Yi & Kou, Gang & Wang, Guoxun & Shi, Yong, 2011. "FAMCDM: A fusion approach of MCDM methods to rank multiclass classification algorithms," Omega, Elsevier, vol. 39(6), pages 677-689, December.
    2. Víctor Blanco & Román Salmerón & Samuel Gómez-Haro, 2018. "A Multicriteria Selection System Based on Player Performance: Case Study—The Spanish ACB Basketball League," Group Decision and Negotiation, Springer, vol. 27(6), pages 1029-1046, December.
    3. Mohammadi, Majid & Rezaei, Jafar, 2020. "Ensemble ranking: Aggregation of rankings produced by different multi-criteria decision-making methods," Omega, Elsevier, vol. 96(C).
    4. Fu, Yan-Kai, 2019. "An integrated approach to catering supplier selection using AHP-ARAS-MCGP methodology," Journal of Air Transport Management, Elsevier, vol. 75(C), pages 164-169.

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