Conditional Aggregation-Based Choquet Integral as a Choquet Integral on a Hyperspace

2023/08/07 by Jana Borzová, Borzová, Jana, Lenka Halčinová +3
Decision Sciences · Computer Science · #Multi-Criteria Decision Making #Rough Sets and Fuzzy Logic #Bayesian Modeling and Causal Inference

paper · pdf · doi:10.48550/arxiv.2308.03546

Abstract

We aim at representing the recently introduced conditional aggregation-based Choquet integral as a standard Choquet integral on a hyperset. The representation is one of transformations considered by R.R. Yager and R. Mesiar in 2015. Thus we study the properties of the conditional aggregation-based Choquet integral using well-known facts about the standard Choquet integral. In particular, we obtain several formulas for its computation. We also provide the representation of the conditional aggregation-based Choquet integral in terms of the Möbius transform.

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