Epistemic graphs for representing and reasoning with positive and negative influences of arguments

作者:

Highlights:

• Epistemic graphs are a new proposal for epistemic and bipolar argumentation.

• They allow for modelling of context-sensitivity and multiple perspectives.

• They allow for modelling of imperfect agents and incomplete situations.

• We provide a sound and complete proof theory for reasoning with epistemic formulae.

• We provide a wide study of the properties of our proposal.

摘要

This paper introduces epistemic graphs as a generalization of the epistemic approach to probabilistic argumentation. In these graphs, an argument can be believed or disbelieved up to a given degree, thus providing a more fine–grained alternative to the standard Dung's approaches when it comes to determining the status of a given argument. Furthermore, the flexibility of the epistemic approach allows us to both model the rationale behind the existing semantics as well as completely deviate from them when required. Epistemic graphs can model both attack and support as well as relations that are neither support nor attack. The way other arguments influence a given argument is expressed by the epistemic constraints that can restrict the belief we have in an argument with a varying degree of specificity. The fact that we can specify the rules under which arguments should be evaluated and we can include constraints between unrelated arguments permits the framework to be more context–sensitive. It also allows for better modelling of imperfect agents, which can be important in multi–agent applications.

论文关键词:Abstract argumentation,Epistemic argumentation,Bipolar argumentation

论文评审过程:Received 2 January 2019, Revised 4 December 2019, Accepted 7 January 2020, Available online 13 January 2020, Version of Record 20 January 2020.

论文官网地址:https://doi.org/10.1016/j.artint.2020.103236