In this pape
r, the classical
Jensen inequalities fo
r concave function φ, i.e.,
a
re adapted fo
r the Sugeno integ
ral using the notion of the supe
rg
radient. Mo
reove
r, we give some modifications of p
revious
results of Román-Flo
res et al. conce
rning Jensen-type inequalities fo
r Sugeno integ
ral. Some examples in the f
ramewo
rk of the Lebesgue measu
re and counting measu
re to illust
rate the
results a
re p
resented.