Malaysian Journal of Mathematical Sciences 16(2): 351–361 (2022) https://doi.org/10.47836/mjms.16.2.11 Malaysian Journal of Mathematical Sciences Journal homepage: https://einspem.upm.edu.my/journal Some Properties on Sensitivity, Transitivity and Mixing of Set-Valued Dynamical Systems Wong, K. S. and Salleh, Z. ∗ Department of Mathematics, Faculty of Ocean Engineering Technology and Informatics, Universiti Malaysia Terengganu, Malaysia E-mail: zabidin@umt.edu.my ∗ Corresponding author Received: 30 May 2020 Accepted: 16 February 2022 Abstract In this paper, we study the dynamical properties of set-valued dynamical systems. Specifically, we focus on the sensitivity, transitivity and mixing of set-valued dynamical systems. Under the setting of set-valued case, we define sensitivity and investigate its properties. We also study the transitivity and mixing of set-valued dynamical systems that have been defined. We show that both transitivity and mixing are invariant under topological conjugacy. We also discuss some implication results on the product set-valued function constructed from two different set-valued functions equipped with various transitivity and mixing conditions. Keywords: set-valued dynamical systems; sensitive; topologically transitive; topologically mix- ing; product dynamical systems.