Abstract
Recently, the notion of similarity between arguments, namely those built using propositional logic, has been investigated and several similarity measures have been defined. This paper shows that those measures may lead to inaccurate results when arguments are not concise, i.e., their supports contain information that is useless for inferring their conclusions. For circumventing this limitation, we start by refining arguments for making them concise. Then, we propose two families of similarity measures that extend existing ones and that deal with concise arguments.
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Notes
- 1.
The letter \(\mathtt {A}\) in \(\mathtt {A}\)-\(\mathtt {CR}\) stands for “average”.
- 2.
In this section, we slightly relax the notation by simply assuming that \(p\in \overline{\mathcal L}\). We will make similar assumptions throughout this section.
- 3.
\(\mathtt {U}\) in \(\mathtt {U}\)-\(\mathtt {CR}\) stands for “union”.
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Support from the ANR-3IA Artificial and Natural Intelligence Toulouse Institute is gratefully acknowledged.
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Amgoud, L., David, V., Doder, D. (2019). Similarity Measures Between Arguments Revisited. In: Kern-Isberner, G., Ognjanović, Z. (eds) Symbolic and Quantitative Approaches to Reasoning with Uncertainty. ECSQARU 2019. Lecture Notes in Computer Science(), vol 11726. Springer, Cham. https://doi.org/10.1007/978-3-030-29765-7_1
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