{"ID":2869356,"CreatedAt":"2026-06-01T04:54:23.091178241Z","UpdatedAt":"2026-06-01T04:54:23.091178241Z","DeletedAt":null,"paper_url":"https://arxiv.org/abs/2509.14963","arxiv_id":"2509.14963","title":"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.","short_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 a...","url_abs":"https://arxiv.org/abs/2509.14963","url_pdf":"https://arxiv.org/pdf/2509.14963v2","authors":"[\"Filip Naudot\",\"Andreas Brännström\",\"Vicenç Torra\",\"Timotheus Kampik\"]","published":"2025-09-18T13:52:53Z","proceeding":"cs.AI","tasks":"[\"cs.AI\"]","methods":"[]","has_code":false}