结构元线性生成的模糊数列极限与级数收敛性

The Limit and Convergence of a Sequence of Structural-element Generation Fuzzy Numbers

定义了一种基于结构元线性生成的模糊数的距离,在此基础上研究了模糊数序列极限、模糊数项级数,同时给出了相关性质及定理的证明,并把模糊数与实数有机地联系起来,得到了一些类似于实数绝对值、实数序列极限、实数项级数收敛发散的性质。

Based on the structural-element, the fuzzy distance is defined. Then, the limit and the convergence of a fuzzy number sequence are studied. At the same time, it gives the correlative property, theorem and its proof. Moreover, in the proof, the fuzzy number and the real number are contacted, then some properties of fuzzy number are gotten and generated by structural-element.