  In this paper, a new two-dimensional Hardy type inequality is given in terms
of pseudo-analysis dealing with set-valued functions. The first one is given
for a pseudo-integral of set-valued function where pseudo-addition and
pseudo-multiplication are constructed by a monotone continuous function $g:[0,
\infty ]\to[0, \infty]$. Another is given by the semiring $([0, 1], \max,
\odot)$ where pseudo-multiplication is generated by an increasing continuous
function.
