  We introduce a~\textit{Choquet-Sugeno-like operator} generalizing many
operators for bounded functions and monotone measures from the literature,
e.g., Sugeno-like operator, Lov\'{a}sz and Owen measure extensions,
$\rF$-decomposition integral with respect to a~partition decomposition system,
and others. The new operator is based on the concepts of dependence relation
and conditional aggregation operators, but it does not depend on $t$-level
sets. We also provide conditions for which the Choquet-Sugeno-like operator
coincides with some Choquet-like integrals defined on finite spaces and
appeared recently in the literature, e.g. reverse Choquet integral, $d$-Choquet
integral, $\rF$-based discrete Choquet-like integral, some version of
$C_{\rF_1\rF_2}$-integral, $\mathrm{C}\mathrm{C}$-integrals (or Choquet-like
Copula-based integral) and discrete inclusion-exclusion integral. Some basic
properties of the Choquet-Sugeno-like operator are studied.
