In this paper, we first propose the model of multi-leader-follower games with fuzzy goals and involving fuzzy parameters and introduce its α-FNS equilibrium. Next, we shift our attention to the existence of α-FNS equilibrium and prove it by Kakutani’s fifixed point theorem. Finally, we illustrate an example to show that the equilibrium existence result is valid.
Mathematics Subject Classification. 91A06, 91A07, 91A10.