Carlson's inequality is one of the most important inequalities in probability, measure theory and analysis. The problem of nding a sharp inequality of Carlson type inequality for Choquet-like integral based on the multiplication operator has led to a challenging and an interesting subject for researchers. In this paper, we give a Carlson type inequality based on pseudo-analysis for two classes of Choquet-like integrals as generalizations of Choquet integral and Sugeno integral. In the rst class, pseudo-operations are de ned by a continuous strictly increasing function g. Another class concerns the Choquet-like integrals based on the operator sup and the pseudo-multiplication .
