Abstract
The present paper deals with a duality study associated with a new class of multiobjective optimization problems that include the interval-valued components of the ratio vector. More precisely, by using the new notion of (ρ,ψ,d)-quasiinvexity associated with an interval-valued multiple-integral functional, we formulate and prove weak, strong, and converse duality results for the considered class of variational control problems.
Highlights
By considering the new notion of (ρ, ψ, d)-quasiinvexity associated with an interval-valued multiple-integral functional, we establish Mond–Weir weak, strong, and converse duality results for a new class of multiobjective optimization problems with interval-valued components of the ratio vector
In the following, in order to formulate and prove the main results included in this paper, we introduce the concept of (ρ, ψ, d)-quasiinvexity associated with an interval-valued multiple-integral functional
In this paper, based on the totally new concept of (ρ, ψ, d)-quasiinvexity associated with an interval-valued multiple-integral functional, we have formulated and proved
Summary
Compared with previous research works (see [7,10,11,12,21,24,25]), the present paper deals with the duality study associated with a new class of multiobjective optimization problems including interval-valued components of the ratio vector. These three highlighted elements, considered together at the same time, are totally new in the related literature.
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