An abstract argumentation framework with varied-strength attacks

In classical abstract argumentation, arguments interact with each other through a single abstract notion of attack. How-ever, 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 argumen-tation framework equipped with a set of abstract attack re-lations of varied strength. Using this framework, semantic notions dealing with the relative difference of strength are in-troduced. The focus is put on argument defense, and the study of admissible sets according to the quality of defenders