A detailed investigation on the neutral-neutral and neutral-ion collision integrals is reported for Y2O3-Ar plasma, an important system of functional material with unique properties having a wide range of processing applications. The calculated integrals are indispensible pre-requisite for the estimation of transport properties needed in CFD modelling of associated plasma processes. Polarizability plays an important role in determining the integral values. Ambiguity in selecting appropriate polarizability data available in the literature and calculating effective number of electrons in the ionized species contributing to the polarizability are addressed. The integrals are evaluated using Lennard-Jones like phenomenological potential up to (l,s) = (4,4). Used interaction potential is suitable for both neutral-neutral and neutral-ion interactions. For atom-parent ion interactions, contribution coming from the inelastic resonant charge transfer process has been accounted properly together with that coming from the elastic counterpart. A total of 14 interacting species and 60 different interactions are considered. Key contributing factors like basic electronic properties of the interacting species and associated polarizability values are accounted carefully. Adopted methodology is first benchmarked against data reported in the literature and then applied to the Y2O3-Ar plasma system for estimating the collision integrals. Results are presented in the temperature range of 100 K–100 000 K.