Rajae Aboulaich ; Abderrahmane Habbal ; Noureddine Moussaid
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Optimisation multicritère : Une approche par partage des variables
arima:1938 -
Revue Africaine de Recherche en Informatique et Mathématiques Appliquées,
October 27, 2010,
Volume 13 - 2010 - Special issue TAMTAM'09
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https://doi.org/10.46298/arima.1938
Optimisation multicritère : Une approche par partage des variablesArticle
We are interested here, in multi-criteria optimization problem using game theory. This problem will be treated by using a new algorithm for the splitting of territory in case of concurrent optimization, which presents a new formulation of Nash games between two players using two tables of allocations. Each player minimizes his cost function using the variables allocated by his own table. The two tables are given by an iterative algorithm. An image processing problem is addressed by using the proposed algorithms.
Volume: Volume 13 - 2010 - Special issue TAMTAM'09
Published on: October 27, 2010
Submitted on: April 8, 2010
Keywords: Multi-criteria Optimization, Game theory, Concurrent Optimization, Split of territories, image processing,Optimisation multi-critère,Théorie des jeux,Optimisation concourante,Partage de Territoire,traitement d’image,[INFO]Computer Science [cs],[MATH]Mathematics [math]
Bibliographic References
5 Documents citing this article
F. Z. Semmane;N. Moussaid;M. Ziani, 2024, Blind image deblurring using Nash game and the fractional order derivative, Mathematical Modeling and Computing, 11, 4, pp. 923-929, 10.23939/mmc2024.04.923.
F.-E. Salah;N. Moussaid;A. Abassi;A. Jadir, 2024, Towards a Nash game strategy approach to blind image deconvolution: a fractional-order derivative variational framework, Mathematical Modeling and Computing, 11, 3, pp. 682-691, 10.23939/mmc2024.03.682.
S. Berhich;N. Moussaid, 2024, Blind image deblurring using fractional order derivatives and total variation: A Nash equilibrium approach, Mathematical Modeling and Computing, 11, 4, pp. 1035-1045, 10.23939/mmc2024.04.1035.
R. Aboulaich;R. Ellaia;S. Elmoumen;A. Habbal;N. Moussaid, 2017, The Mean-CVaR Model for Portfolio Optimization Using a Multi-Objective Approach and the Kalai-Smorodinsky Solution, MATEC Web of Conferences, 105, pp. 00010, 10.1051/matecconf/201710500010, https://doi.org/10.1051/matecconf/201710500010.