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  4. Rendiconti dell’Istituto di Matematica dell’Università di Trieste: an International Journal of Mathematics
  5. Rendiconti dell’Istituto di Matematica dell’Università di Trieste: an International Journal of Mathematics vol.56 (2024)
  6. Duality for a properly efficient solution of bilevel multiobjective fractional programming problems with extremal-value function
 
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Duality for a properly efficient solution of bilevel multiobjective fractional programming problems with extremal-value function
Rikouane, Ahmed
•
Laghdir, Mohamed
2024
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ISSN
0049-4704
https://www.openstarts.units.it/handle/10077/36927
  • Article

e-ISSN
2464-8728
Abstract

In this paper, we establish some results regarding the optimality conditions and duality properties for properly efficient solutions of a constrained bilevel multiobjective fractional programming problem (P) with an extremal-value function. These results are obtained by applying a parametric approach to reduce the problem (P) to a parametric problem (Pμ) with μ ∈ Rp, and we obtain optimality conditions for properly efficient solutions for these problems. Furthermore, we define a dual problem of (Pμ) and we establish some results on duality.

Journal
Rendiconti dell’Istituto di Matematica dell’Università di Trieste: an International Journal of Mathematics 
Subjects
  • Bilevel programming

  • Multiobjective fracti...

  • Properly efficient so...

  • Optimality conditions...

  • Conjugate duality

Source
Ahmed Rikouane and Mohamed Laghdir, "Duality for a properly efficient solution of bilevel multiobjective fractional programming problems with extremal-value function" in: "Rendiconti dell’Istituto di Matematica dell’Università di Trieste: an International Journal of Mathematics vol.56 (2024)", EUT Edizioni Università di Trieste, Trieste, 2024, pp. 225-243
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en
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Attribution-NonCommercial-NoDerivatives 4.0 International
Licence
http://creativecommons.org/licenses/by-nc-nd/4.0/
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RIMUT-56-2024_Rikouane_Et-al.pdf

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