Submodular is an antonym of supermodular.

As adjectives the difference between submodular and supermodular

is that submodular is of, pertaining to, or composed of submodules while supermodular is (mathematics|said of a function) having the property that $f(x\; \backslash lor\; y)\; +\; f(x\; \backslash land\; y)\; \backslash geq\; f(x)\; +\; f(y)$ for all x'', ''y'' $\backslash isin$ ''r''^''k'', where ''x'' $\backslash vee$ ''y'' denotes the componentwise maximum and ''x'' $\backslash wedge$ ''y'' the componentwise minimum of ''x'' and ''y .