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Home / Proceedings / Proceedings of the AAAI Conference on Artificial Intelligence / EAAI-20

On Structured Argumentation with Conditional Preferences

February 1, 2023

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Authors

Phan Minh Dung

Asian Institute of Technologies


Phan Minh Thang

Burapha University International College


Tran Cao Son

New Mexico State University


DOI:

10.1609/aaai.v33i01.33012792


Abstract:

We study defeasible knowledge bases with conditional preferences (DKB). A DKB consists of a set of undisputed facts and a rule-based system that contains different types of rules: strict, defeasible, and preference. A major challenge in defining the semantics of DKB lies in determining how conditional preferences interact with the attack relations represented by rebuts and undercuts, between arguments.We introduce the notions of preference attack relations as sets of attacks between preference arguments and the rebuts or undercuts among arguments as well as of preference attack relation assignments which map knowledge bases to preference attack relations. We present five rational properties (referred to as regular properties), the inconsistency-resolving, effective rebuts, context-independence, attack monotonicity and link-orientation properties generalizing the properties of the same names for the case of unconditional preferences.Preference attack relation assignment are defined as regular if they satisfy all regular properties. We show that the set of regular assignments forms a complete lower semilattice whose least element is referred to as the canonical preference attack relation assignment. Canonical attack relation assignment represents the semantics of preferences in defeasible knowledge bases as intuitively, it could be viewed as being uniquely identified by the regular properties together with the principle of minimal removal of undesired attacks. We also present the normal preference attack relation assignment as an approximation of the canonical attack relation assignment.

Topics: AAAI

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HOW TO CITE:

Phan Minh Dung||Phan Minh Thang||Tran Cao Son On Structured Argumentation with Conditional Preferences Proceedings of the AAAI Conference on Artificial Intelligence (2019) 2792-2800.

Phan Minh Dung||Phan Minh Thang||Tran Cao Son On Structured Argumentation with Conditional Preferences AAAI 2019, 2792-2800.

Phan Minh Dung||Phan Minh Thang||Tran Cao Son (2019). On Structured Argumentation with Conditional Preferences. Proceedings of the AAAI Conference on Artificial Intelligence, 2792-2800.

Phan Minh Dung||Phan Minh Thang||Tran Cao Son. On Structured Argumentation with Conditional Preferences. Proceedings of the AAAI Conference on Artificial Intelligence 2019 p.2792-2800.

Phan Minh Dung||Phan Minh Thang||Tran Cao Son. 2019. On Structured Argumentation with Conditional Preferences. "Proceedings of the AAAI Conference on Artificial Intelligence". 2792-2800.

Phan Minh Dung||Phan Minh Thang||Tran Cao Son. (2019) "On Structured Argumentation with Conditional Preferences", Proceedings of the AAAI Conference on Artificial Intelligence, p.2792-2800

Phan Minh Dung||Phan Minh Thang||Tran Cao Son, "On Structured Argumentation with Conditional Preferences", AAAI, p.2792-2800, 2019.

Phan Minh Dung||Phan Minh Thang||Tran Cao Son. "On Structured Argumentation with Conditional Preferences". Proceedings of the AAAI Conference on Artificial Intelligence, 2019, p.2792-2800.

Phan Minh Dung||Phan Minh Thang||Tran Cao Son. "On Structured Argumentation with Conditional Preferences". Proceedings of the AAAI Conference on Artificial Intelligence, (2019): 2792-2800.

Phan Minh Dung||Phan Minh Thang||Tran Cao Son. On Structured Argumentation with Conditional Preferences. AAAI[Internet]. 2019[cited 2023]; 2792-2800.


ISSN: 2374-3468


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