  Graphs serve as efficient tools for visualizing mathematical concepts and
their interrelationships. In this paper, focusing on the discrete case with
universal set with finite elements, we first introduce the rules and
characteristics of graph representation of fuzzy measure and discuss graphic
properties of fuzzy measure's duality, symmetry, nonadditivity and
nonmodularity. Then we show the graphic presentations of some special families
of fuzzy measures, such as the k-additive measure, the k-maxitive and minitive
measure, k-order representative measure, k-order interactive measure and the
p-symmetric fuzzy measure, as well as of three nonlinear integrals, i.e., the
Choquet integral, the Sugeno integral and the pan integral. Finally, we provide
visualizations for the fuzzy measure fitting procedure and tools for comparing
fuzzy measures.
