Convergence and Deduction of Complex Fuzzy-Valued Function Series

殷凤; 王鹏飞

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Convergence and Deduction of Complex Fuzzy-Valued Function Series

更新时间：2026-09-14

- Convergence and Deduction of Complex Fuzzy-Valued Function Series
- 复模糊值函数级数的收敛及其推论
- Vol. 34, Issue 4, Pages: 372-375(2013)
- 作者机构：
  
  忻州师范学院数学系
- 作者简介：
- 基金信息：
- DOI：
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- Published：2013
- 稿件说明：
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殷凤, 王鹏飞. Convergence and Deduction of Complex Fuzzy-Valued Function Series[J]. 2013, 34(4): 372-375.
DOI：

殷凤, 王鹏飞. Convergence and Deduction of Complex Fuzzy-Valued Function Series[J]. 2013, 34(4): 372-375. DOI：

摘要

利用区间值函数级数、模糊数的序关系和分解定理讨论了复模糊值函数级数收敛性与发散性

给出了复模糊值函数级数收敛、一致收敛、绝对收敛的充要条件

并得到了复模糊值函数级数收敛的线性性及复模糊值函数级数收敛、发散的比较定理.所得结论拓展了模糊数学的基本概念

丰富了复模糊值函数级数的基本理论.

Abstract

Interval value function series

order relation of fuzzy number and decomposition theorem were drawn on in this article to discuss the convergence and divergence of the series of complex fuzzy-valued function.Necessary and sufficient conditions of the convergence

uniform convergence and absolute convergence for the series of complex fuzzy-valued functions were provided.The linear character of the convergence of the complex fuzzy-valued functions and the comparison theorem of the convergence and divergence of the series of the complex fuzzy-valued functions were obtained.The conclusions extend the basic concepts of fuzzy mathematics

and enrich the basic theory of complex fuzzy-valued function series.

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references

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