| Authors | زینب سلطانی رنانی |
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| Conference Title | the 4th International Conference on Computational Algebra, Computational Number Theory and Applications |
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| Holding Date of Conference | 2023-07-04 - 2023-07-06 |
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| Event Place | 1 - کاشان |
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| Presented by | دانشگاه کاشان |
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| Presentation | SPEECH |
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| Conference Level | International Conferences |
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Abstract
Robust optimization is an important subfield of optimization
that deals with uncertainty in the data of optimization problems. Consider
the robust set-valued optimization problem
min F (x, ξ)
subject to x ∈ X, (RSOP )
where F : X × U ⇒ Y is a set-valued map, where U ⊆ Rk is the set of
uncertainty.
we define a set-valued map FU : X ⇒ Y as
FU (x) = [
ξ∈U
F (x, ξ).
We consider the following set-valued robust counterpart to (RSOP):
min FU (x)
subject to x ∈ X. (SOP )
In this paper, we study the existence robust efficient solution for robust set-
valued optimization problem with unbounded feasible sets by noncoercivity
condition via asymptotic analytic tools.
