This paper deals with the competitive location problems using fuzzy sets. The basic notions on fuzzy optimization and linear programming using fuzzy sets are briefly reviewed. The standard leader-follower location problem and its linear mathematical programming formulation are described. The works appeared in the literature concerning the use of fuzzy sets are analyzed. Keywords-- Fuzzy Optimization, Competitive Location, LeaderFollower problem. 							
						
							
					 															
					Clara M. Campos, Lourdes Canós, Marí