Handling the Multiplicity of Solutions in a Moea Based PDA-THESEUS Framework for Multi-Criteria Sorting

Author:

Covantes Edgar1,Fernández Eduardo1,Navarro Jorge2

Affiliation:

1. Autonomous University of Sinaloa, Faculty of Civil Engineering, Blvd. Las Americas, Ciudad Universitaria Culiacan, Sinaloa, CP. 80040, Mexico

2. Autonomous University of Sinaloa, Faculty of Computer Science, Josefa Ortiz de Dominguez Ote., Ciudad Universitaria, Culiacan, Sinaloa, CP. 80040, Mexico

Abstract

Abstract This paper proposes the combination of the THESEUS multi-criteria sorting method with an evolutionary optimization-based preference-disaggregation analysis. The main features of the combined method are studied by performing an extensive computer experiment that explores many models of preferences and sizes of problems as well as different degrees of decision-maker involvement. As a result of the experiment, the effectiveness of the combined framework and the importance of the decision-maker’s involvement are characterized.

Publisher

Walter de Gruyter GmbH

Reference24 articles.

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2. [2] Coello, C.A., Lamont, G.B., Van Veldhuizen, D.A. (2007): Evolutionary Algorithms for Solving Multi_Objective Problems, Second Edition. Springer, New York.

3. [3] Corrente, S., Doumpos, M., Greco, S., Slowinski, R., Zopounidis, C. (2015): Multiple criteria hierarchy process for sorting problems based on ordinal regression with additive value functions, Annals of Operations Research DOI 10.1007/s10479-015-1898-1.

4. [4] Deb, K. (2001): Multi-Objective Optimization using Evolutionary Algorithms, John Wiley & Sons, Chichester-New York-Weinheim-Brisbane-Singapore-Toronto.

5. [5] Dias, L., Mousseau, V., Figueira J., Climaco, J. (2002): An aggregation/disaggregation approach to obtain robust conclusions with ELECTRE-TRI, European Journal of Operational Research, 138, 2, 332-348.

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