Set Contribution Functions for Quantitative Bipolar Argumentation and their Principles
Abstract
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.
Cite
@article{arxiv.2509.14963,
title = {Set Contribution Functions for Quantitative Bipolar Argumentation and their Principles},
author = {Filip Naudot and Andreas Brännström and Vicenç Torra and Timotheus Kampik},
journal= {arXiv preprint arXiv:2509.14963},
year = {2026}
}
Comments
Published in International Journal of Approximate Reasoning, Vol. 194, 2026