The electrical characteristics of In0.18Al0.82N/GaN MOSHEMTs-on-Si (111) with Y2O3 gate dielectric of thickness between 5 to 30 nm are reported. A positive shift in threshold voltage, Vth, with respect to Schottky gate HEMTs is observed, which is in contrast to that for ZrO2 gate dielectric MOSHEMTs. An analytical Vth model is proposed to quantify the fixed oxide charges at the Y2O3/In0.18Al0.82N interface (nox,intf) and in the Y2O3 bulk (nox,bulk). The negative polarity of the fixed oxide charges (nox,intf, nox,bulk) is believed to be the reason for the abovementioned positive Vth shift. X-ray photoelectron spectroscopy analysis reveals that a thin interfacial layer (IL) may have formed as a result of spontaneous reaction between dielectric Y2O3 and In0.18Al0.82N/GaN heterostructure, leaving Y2O3 bulk on top for thick dielectric film. We believe nox,intf is located in the IL and that its polarity and magnitude are related to the constituents of the IL, which comprise mainly YAlOxNy and its sub-oxynitrides. It is also observed that Y2O3 bulk has negative fixed charges (nox,bulk) with a magnitude that depends on film densification upon thermal annealing treatment.