Let $A={(0.125,0.875)$⁠, $(0.375,0.625)$⁠, $(0.575,0.6)$⁠, $(0.625,0.375)$⁠, $(0.875,0.125)}$⁠, $B={(0.125,1)$⁠, $(0.375,0.75)$⁠, $(0.5,0.625)$⁠, $(0.75,0.375)$⁠, $(1,0.125)}$⁠, and $Z={(0,1)$⁠, $(0.25,0.75)$⁠, $(0.5,0.5)$⁠, $(0.75,0.25)$⁠, $(1,0)}$⁠. Even though $A◃B$⁠, IGD prefers $B$ and IGD$+$ assigns the same quality to both sets, HV prefers $A$ since it is Pareto-compliant.