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. Author manuscript; available in PMC: 2011 Oct 1.
Published in final edited form as: Phys Med. 2009 Dec 21;26(4):184–191. doi: 10.1016/j.ejmp.2009.11.005

Figure 1.

Figure 1

In (a) the hashed area is the set F(Cx) = {y | ∃ x ∈ Cx with F(x) = y}. The bold lower envelope is the Pareto surface. In (b) the hashed area is CF = {y | ∃ x ∈ Cx with F(x) ≤ y}, i.e. the outward extension of the set F(Cx), which is a convex set if Cx is convex.