Inverse Problems for Gradual Semantics
Nir Oren, Bruno Yun, Srdjan Vesic, Murilo Baptista
Abstract
Gradual semantics with abstract argumentation provide each argument with a score reflecting its acceptability. Many different gradual semantics have been proposed in the literature, each following different principles and producing different argument rankings. A sub-class of such semantics, the so-called weighted semantics, takes, in addition to the graph structure, an initial set of weights over the arguments as input, with these weights affecting the resultant argument ranking. In this work, we consider the inverse problem over such weighted semantics. That is, given an argumentation framework and a desired argument ranking, we ask whether there exist initial weights such that a particular semantics produces the given ranking. The contribution of this paper are: (1) an algorithm to answer this problem, (2) a characterisation of the properties that a gradual semantics must satisfy for the algorithm to operate, and (3) an empirical evaluation of the proposed algorithm.
BibTeX
@inproceedings{ijcai2022p377,
title = {Inverse Problems for Gradual Semantics},
author = {Oren, Nir and Yun, Bruno and Vesic, Srdjan and Baptista, Murilo},
booktitle = {Proceedings of the Thirty-First International Joint Conference on
Artificial Intelligence, {IJCAI-22}},
publisher = {International Joint Conferences on Artificial Intelligence Organization},
editor = {Lud De Raedt},
pages = {2719--2725},
year = {2022},
month = {7},
note = {Main Track},
doi = {10.24963/ijcai.2022/377},
url = {https://doi.org/10.24963/ijcai.2022/377},
}