Final answer:
WLM or Workload Manager controls TSO, batch job, and started task priority assignments in z/OS.
Step-by-step explanation:
The z/OS component that controls TSO, batch job, and started task priority assignments is WLM or Workload Manager.
WLM is a resource manager that allows administrators to manage and allocate system resources based on defined policies. It determines the priority of different workloads and allocates system resources accordingly.
For example, if a TSO session is running multiple batch jobs, WLM can assign higher priority to interactive TSO sessions to ensure a better user experience, while allocating resources to batch jobs in a fair and efficient manner.