Talk:Supermodular function

Notation

What does prim stand for on z? How do z' and z relate? —Preceding unsigned comment added by 140.123.218.105 (talk • contribs)

The elements z and z′ can be any arbitrary elements of R^k. I've changed the variables used to x and y to help clarify this. Michael Slone (talk) 17:03, 7 June 2008 (UTC)

What is R?

The real numbers (usually noted by $\mathbb {R}$)? A linear order? 192.114.91.228 (talk) 08:40, 23 April 2013 (UTC)

Merge with submodular function and generalize to lattices

I suggest merging this article with submodular function, since a function is supermodular iff its negative is submodular.

Furthermore, I propose generalizing the definition to lattices, of which the lattice of subsets is a special case. 50.221.225.231 (talk) 16:37, 16 September 2023 (UTC)

If the inequality is strict...

"If the inequality is strict, then f is strictly supermodular on X ..."

Doesn't the inequality only need to hold if x ≠ y? — Preceding unsigned comment added by ~2026-48998-4 (talk) 06:01, 23 January 2026 (UTC)