模糊数级数的收敛性

Convergence of the Series of Fuzzy Numbers

在通常的序关系意义下,借助模糊数水平集的概念,研究模糊数级数的收敛性问题.对于正项、一般项以及Leibniz型模糊数级数,分别给出了相应的收敛判别法,从而推广了经典函数项级数的一些基本性质.

Using the concept of level sets of fuzzy numbers,we considered the convergence problems for the series of fuzzy numbers in the sense of the usual order relation.With regard to the convergence for the series of fuzzy numbers with positive terms,general terms and Leibniz-type,we obtained the corresponding convergence tests respectively,so as to extend some basic properties of the classic series.