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arXiv · 2306.12889

Conditional aggregation-based Choquet integral on discrete space

Stanislav Basarik·Jana Borzová·Lenka Halčinová·Jaroslav Šupina
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Abstract

We derive computational formulas for the generalized Choquet integral based on the novel survival function introduced by M. Boczek et al. [1]. We demonstrate its usefulness on the Knapsack problem and the problem of accommodation options. Moreover, we describe sufficient and necessary conditions under which novel survival functions based on different parameters coincide. This is closely related to the incomparability of input vectors (alternatives) in decision-making processes.

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Stanislav Basarik, Jana Borzová, Lenka Halčinová, Jaroslav Šupina. 2023-06-07. Conditional aggregation-based Choquet integral on discrete space. https://arxiv.org/abs/2306.12889

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