The paper develops a formal theory of the degree of justification of arguments, which relies solely on the structure of an argumentation framework. The theory is based on a generalisation of Dung’s notion of acceptability, making it sensitive to the numbers of attacks and counter-attacks on arguments. Graded generalisations of argumentation semantics are then obtained and studied. The theory is...

In this paper, by using the geometric construction of linear blocking sets as projections of canonical subgeometries, we determine all the GF (q)linear blocking sets of the plane PG(2, q).

In classical abstract argumentation, arguments interact with each other through a single abstract notion of attack. However, several concrete forms of argument conflict are present in the literature, all of them of different nature and strength for a particular context. In this work we define an argumentation framework equipped with a set of abstract attack relations of varied strength. Using t...

We explain MOEA/D and its slightly modified version with two neighborhood structures. We report some interesting observations on the behavior of MOEA/D with various settings of neighborhood size.

In intentional agents, actions are derived from the mental attitudes and their relationships. In particular, preferences (positive desires) and restrictions (negative desires) are important proactive attitudes which guide agents to intentions and eventually to actions. In this paper, we present a general logical framework to represent and reasoning about gradual notions of desires and intention...

We construct and study a class of translation planes with kernel K ∼= GF (q), order q, and n > 2. These planes generalize the j-planes discovered by Johnson, Pomareda and Wilke in [14]. We show these planes are actually jj · · · j-planes. Hence, most of the results obtained in this article are on jj · · · j-planes. In fact, our study shows that these planes are either nearfield or new. An infin...

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In this paper, we define a labelling-based justification status of the arguments in an argumentation framework. Our proposal allows for a more fine-grained notion of a justification status than the traditional extensions-based approaches. In particular, we are able to distinguish different levels at which an argument can be accepted or rejected. Our approach is fully compatible with traditional...