To Preference via Entrenchment

We introduce a simple generalization of Gardenfors and Makinson's epistemic entrenchment called partial entrenchment. We show that preferential inference can be generated as the sceptical counterpart of an inference mechanism defined directly on partial entrenchment.Comment: 16 page

Finite sets of data compatible with multidimensional inequality measures

[EN]By using a general solution to the problem of extending a preorder conditional on a list of ex-ante comparisons between pairs, we elucidate when a finite set of predetermined comparisons can be incorporated to a multidimensional inequality measure even if the population size is variable

Stratified Labelings for Abstract Argumentation

We introduce stratified labelings as a novel semantical approach to abstract argumentation frameworks. Compared to standard labelings, stratified labelings provide a more fine-grained assessment of the controversiality of arguments using ranks instead of the usual labels in, out, and undecided. We relate the framework of stratified labelings to conditional logic and, in particular, to the System Z ranking functions