模糊数序列的收敛性

On the Convergence of the Sequence of Fuzzy Numbers

通过对连续模糊数的定义,在模糊数序列的极限值为连续模糊数的条件下,证明了模糊数序列的度量收敛、水平收敛以及图收敛这3种收敛性相互等价,并在文中给出了相应的举例,说明其有效性。

In this paper we discuss the convergence of the sequence of fuzzy number, and find that the uniform metric convergence, convergence in level sets and graphs convergence are equivalent in some suitable conditions, which the limit of the sequence of fuzzy number is continous. At the end of paper, we give a suitable example.