Jensen's inequality for Choquet integral revisited and a note on Jensen's inequality for generalized Choquet integral.

In this paper, it is shown that Jensen's inequality for Choquet integral given by R. Wang ten years ago is incorrect, then it is revisited, the modified Jensen's and reverse Jensen's inequalities for Choquet integral are proved. Then Jensen's inequality for generalized Choquet integral, obtained by the authors in a recent paper, is modified accordingly. [ABSTRACT FROM AUTHOR]