模糊数级数的收敛性

J4 ›› 2012, Vol. 50 ›› Issue (01): 35-43.

模糊数级数的收敛性

赵治涛¹, 吴从炘², 郝翠霞¹

1. 黑龙江大学数学科学学院, 哈尔滨 150080|2. 哈尔滨工业大学理学院, 哈尔滨 150001

收稿日期:2011-03-03 出版日期:2012-01-26 发布日期:2012-03-06
通讯作者: 赵治涛 E-mail:zhaozhitao0808@126.com

Convergence of the Series of Fuzzy Numbers

ZHAO Zhitao¹, WU Congxin², HAO Cui\|xia¹

1. School of Mathematical Sciences, Heilongjiang University, Harbin 150080, China;
2. College of Science, Harbin Institute of Technology, Harbin 150001, China

Received:2011-03-03 Online:2012-01-26 Published:2012-03-06
Contact: ZHAO Zhitao E-mail:zhaozhitao0808@126.com

摘要/Abstract

摘要：

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.

关键词: 模糊数；模糊数级数；收敛；收敛判别法

Abstract:

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.

Key words: fuzzy number, series of fuzzy numbers, convergence, convergence test

中图分类号:

O159

赵治涛, 吴从炘, 郝翠霞. 模糊数级数的收敛性[J]. J4, 2012, 50(01): 35-43.

ZHAO Zhitao, WU Congxin, HAO Cui xia. Convergence of the Series of Fuzzy Numbers[J]. J4, 2012, 50(01): 35-43.