Rough convergence of a sequence of fuzzy numbers

摘要

We define the concept of rough limit set of a sequence of fuzzy numbers and obtain the relation between the set of rough limit and the extreme limit points of a sequence of fuzzy numbers. Finally, we investigate some properties of the rough limit set. The set of fuzzy numbers is denoted L(R), and d denotes the supremum metric on L(R). Now let r be a nonnegative real number. Then we say that a sequence {X;} of fuzzy numbers is r—convergent to a fuzzy number X, and we write.