Cubes of opposition in possibility theory: new results


About ten years ago it was noticed that the four set functions of possibility theory applied to opposite propositions induce a multivalued cube of opposition. The article highlights new cubes of opposition in possibilistic logic and related logics. These cubes involve binary oppositions, as the set functions are thresholded. In possibility theory, we thus obtain three cubes that can be put side by side in a row.