Set Contribution Functions for Quantitative Bipolar Argumentation and their Principles

Fuente: arXiv
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Main Authors: Naudot, Filip, Brännström, Andreas, Torra, Vicenç, Kampik, Timotheus
Format: Preprint
Published: 2025
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author Naudot, Filip
Brännström, Andreas
Torra, Vicenç
Kampik, Timotheus
author_facet Naudot, Filip
Brännström, Andreas
Torra, Vicenç
Kampik, Timotheus
contents We present functions that quantify the contribution of a set of arguments in quantitative bipolar argumentation graphs to (the final strength of) an argument of interest, a so-called topic. Our set contribution functions are generalizations of existing functions that quantify the contribution of a single contributing argument to a topic. Accordingly, we generalize existing contribution function principles for set contribution functions and provide a corresponding principle-based analysis. We introduce new principles specific to set-based functions that focus on properties pertaining to the interaction of arguments within a set. Finally, we sketch how the principles play out across different set contribution functions given a recommendation system application scenario.
format Preprint
id arxiv_https___arxiv_org_abs_2509_14963
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle Set Contribution Functions for Quantitative Bipolar Argumentation and their Principles
Naudot, Filip
Brännström, Andreas
Torra, Vicenç
Kampik, Timotheus
Artificial Intelligence
We present functions that quantify the contribution of a set of arguments in quantitative bipolar argumentation graphs to (the final strength of) an argument of interest, a so-called topic. Our set contribution functions are generalizations of existing functions that quantify the contribution of a single contributing argument to a topic. Accordingly, we generalize existing contribution function principles for set contribution functions and provide a corresponding principle-based analysis. We introduce new principles specific to set-based functions that focus on properties pertaining to the interaction of arguments within a set. Finally, we sketch how the principles play out across different set contribution functions given a recommendation system application scenario.
title Set Contribution Functions for Quantitative Bipolar Argumentation and their Principles
topic Artificial Intelligence
url https://arxiv.org/abs/2509.14963