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The input uncertain parameters are treated as interval variables, and the two representative convex-set models, hyper-rectangle model and hyper-ellipsoid model, are adopted to describe bounded uncertainties.
Algorithm 1 Deriving ( ⪯ C u, ⪯ C ∖ { 0 } u, ⪯ int C u ) -robust solutions to ( P ( U ) ) based on weighted sum scalarization: Input: Uncertain multi-objective problem P ( U ), solution sets Opt C = Opt C ∖ { 0 } = Opt int C = ∅.
Algorithm 2 Deriving a single accepted ( ⪯ C u, ⪯ C ∖ { 0 } u, ⪯ int C u ) -robust solution to ( P ( U ) ) based on weighted sum scalarization: Input: Uncertain vector-valued problem ( P ( U ) ). Step 1: Choose a nonempty set C ¯ ⊂ C ∗ ∖ { 0 }.
Due to this Lemma 2, from Algorithms 1 and 3, we can deduce the following algorithm for calculating ⪯ C a -robust solutions to ( P ( U ) ). Algorithm 7 Deriving ( ⪯ C a / ⪯ C ∖ { 0 } a / ⪯ int C a ) -robust solutions to ( P ( U ) ): Input: Uncertain multi-objective problem ( P ( U ) ), solution sets Opt C a = Opt C ∖ { 0 } a = Opt int C a = ∅.
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Since I tried Ludwig back in 2017, I have been constantly using it in both editing and translation. Ever since, I suggest it to my translators at ProSciEditing.

Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com