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In interactive approaches [35], DMs need to provide a goal point for a tentative efficient solution in each iteration.
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Let x ¯ be a (weakly) efficient solution in (CVP).
Proof Let x ¯ be a (weakly) efficient solution in (CVP).
Then y ¯ is a (weakly) efficient solution in (CVP).
But now the FWS has found a much more efficient solution in the form of drones.
For, maybe, there is no essential component in, and no essential weakly efficient solution in.
Let (hat{y}in Y) be a properly efficient solution in sense Geoffrion definition.
Suppose that ( x ¯, λ ¯, μ ¯ ) is not a (weakly) efficient solution in (MWD).
Thus, by weak duality, it follows that ( x ¯ is an efficient solution in (MWDP).
This means that ( x ¯ is a properly efficient solution in problem (MWDP).
Then y ¯ is a properly efficient solution in the considered multitime multiobjective variational problem (MVP).
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