Final answer:
The supervisor's behavior of demanding complete obedience and allowing no intervention from subordinates aligns with an autocratic leadership style.
Step-by-step explanation:
The description provided in the question indicates that the supervisor is highly controlling, requires complete obedience, dictates tasks, and does not welcome intervention from his subordinates. This form of leadership is categorized as autocratic. An autocratic leader, also sometimes associated with authoritarian or dictatorial styles, demands unilateral decision-making and expects strict compliance with orders. This style stands in contrast to democratic and laissez-faire leadership styles, which involve more participation and autonomy for group members, respectively.