A hasse diagram for weighted sceptical semantics with a unique-status grounded semantics

Abstract

We provide an initial study on the Hasse diagram that represents the partial order -w.r.t. set inclusion- among weighted sceptical semantics in Argumentation: grounded, ideal, and eager. Being our framework based on a parametric structure of weights, we can directly compare weighted and classical approaches. We define a unique-status weighted grounded semantics, and we prove that the lattice of stronglyadmissible extensions becomes a semi-lattice.