We generalize the Hermite-Hadamard type inequality for pseudo-integrals in two cases of the semirings. One of them deals with pseudo-operations and that are de ned by a comonotone and continuous function. The other one concerns the = sup and a generated pseudo-multiplication. We also provide further discussion. We investigate this inequality of s-convex functions of the rst kind, for Sugeno integrals, and generalize it to some cases. Furthermore, we generalize and prove Hermite-Hadamard's inequality of functions belonging to the rst kind class for pseudo-integrals and o er additional discussion on this topic.
