Mathematical analysis demonstrates computational formulas for generalized Choquet integrals in discrete spaces, indicating practical applications for the Knapsack problem.
We derive computational formulas for a generalization of the Choquet integral based on the novel survival function introduced by Boczek et al. (2021). We describe sufficient and necessary conditions under which novel survival functions based on different parameters coincide. This is closely related to the indifference of input vectors (alternatives) in decision-making processes. We demonstrate the usefulness of our results on the Knapsack problem.
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Basarik et al. (2026) studied this question.
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