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模糊数级数的绝对收敛性
  • ISSN号：1001-7011
  • 期刊名称：《黑龙江大学自然科学学报》
  • 时间：0
  • 分类：O177.3[理学—数学;理学—基础数学]
  • 作者机构：[1]哈尔滨工业大学数学系,哈尔滨150001, [2]陕西理工学院数学系,汉中723000
  • 相关基金：国家自然科学基金资助项目（10571035）;陕西理工学院科研基金项目（SLG04020）
作者： 熊启才[1,2], 吴从炘[1]
关键词： 模糊数, 模糊数级数, 绝对收敛性, fuzzy number, fuzzy number series, absolute convergence
中文摘要：

利用吴从炘于2002年所得到的模糊数绝对值的一种表示式引入及运用模糊数的度量,讨论了模糊数级数的绝对收敛性,得到了模糊数级数绝对收敛的充要条件,并举反例说明模糊数级数的绝对收敛则模糊数级数收敛的逆命题是不成立的。

英文摘要：

The concept of the metric of fuzzy number is presented by using the fuzzy number absolute value of fuzzy number provided in [ Fuzzy Sets and Systems 129 （2002） , 83 -94 ]. The absolute convergence of fuzzy number series is discussed, and furthermore, a necessary and sufficient conditions under which the absolute convergence of fuzzy number series is obtained. It is also shown that the converse Proposition for absolute convergence of fuzzy number so convergence of fuzzy number series is untenable by given inverse example.

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期刊信息
  • 《黑龙江大学自然科学学报》
  • 北大核心期刊（2011版）
  • 主管单位:黑龙江省教育厅
  • 主办单位:黑龙江大学
  • 主编：霍丽华
  • 地址：哈尔滨市学府路74号
  • 邮编：150080
  • 邮箱：hdxb@vip.sohu.com
  • 电话：0451-86608818
  • 国际标准刊号：ISSN：1001-7011
  • 国内统一刊号：ISSN：23-1181/N
  • 邮发代号:14-114
  • 获奖情况:
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  • 被引量:4204