| 基于结构元理论的Fuzzy数项级数收敛性研究 |
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| 引用本文： | 张晓光,陈孝国,朱捷.基于结构元理论的Fuzzy数项级数收敛性研究[J].哈尔滨商业大学学报(自然科学版),2007,23(4):463-465. |
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| 作者姓名： | 张晓光 陈孝国 朱捷 |
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| 作者单位： | 黑龙江科技学院,数力系,哈尔滨,150027 |
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| 基金项目： | 黑龙江省教育厅科学技术研究项目
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黑龙江科技学院青年教师基金 |
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| 摘 要： | 研究了基于结构元理论的Fuzzy数项级数收敛性,特别是给出了绝对收敛的定义及相关定理.并把模糊数与实数有机地联系起来,得到了一些完全类似实数项级数收敛的性质.
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| 关 键 词： | 模糊结构元 模糊级数 收敛 |
| 文章编号： | 1672-0946（2007）04-0463-03 |
| 收稿时间： | 2006-11-20 |
| 修稿时间： | 2006-11-20 |
Research of fuzzy series based on structural-element theory |
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| ZHANG Xiao-guang,CHEN Xiao-guo,ZHU Jie.Research of fuzzy series based on structural-element theory[J].Journal of Harbin University of Commerce :Natural Sciences Edition,2007,23(4):463-465. |
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| Authors: | ZHANG Xiao-guang CHEN Xiao-guo ZHU Jie |
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| Institution: | Department of Mathematics and Mechanics,Heilongjiang Institute of Science and Technology,Harbin 150027,China |
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| Abstract: | Based on the theory of the structural-element,this paper discusses the convergence of fuzzy series,especially,concludes the define of absolute convergence and correlative theory.Moreover in the proof,the fuzzy number and the real number are contracted,some properties of fuzzy series that complete similar real number series are gotten. |
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| Keywords: | fuzzy structural-element fuzzy series convergence |
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