Chebyshev type inequalities for pseudo-integrals of set-valued functions

Chebyshev type inequalities for pseudo-integrals of set-valued functions for two classes of semirings are shown. One of them is the case when pseudo-integral of set-valued function is based on a g-semiring, where g is an increasing and continuous function, and the other case is when semiring is ([a, b], max, ⊙), where ⊙ is generated by an increasing and continuous generator g.