| 结构元线性生成的模糊数列极限与级数收敛性 |
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| 引用本文： | 何波,郭嗣琮,孟毅.结构元线性生成的模糊数列极限与级数收敛性[J].科学技术与工程,2005,5(15):1053-1056. |
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| 作者姓名： | 何波 郭嗣琮 孟毅 |
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| 作者单位： | 辽宁工程技术大学运筹学与控制论研究所,阜新,123000;辽宁工程技术大学运筹学与控制论研究所,阜新,123000;辽宁工程技术大学运筹学与控制论研究所,阜新,123000 |
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| 基金项目： | 国家自然科学基金(50244015)和辽宁省教育厅高校科研项目(202183381)资助 |
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| 摘 要： | 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。
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| 关 键 词： | 模糊结构元 E-距离 Fuzzy序列极限 收敛 |
| 文章编号： | 1671-1815(2005)15-1053-04 |
| 修稿时间： | 2005年3月15日 |
The Limit and Convergence of a Sequence of Structural-element Generation Fuzzy Numbers |
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| HE Bo,GUO Sizong,MENG Yi Institute of Operation Research and Cybernetics,Liaoning Technical University,Fuxin.The Limit and Convergence of a Sequence of Structural-element Generation Fuzzy Numbers[J].Science Technology and Engineering,2005,5(15):1053-1056. |
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| Authors: | HE Bo GUO Sizong MENG Yi Institute of Operation Research and Cybernetics Liaoning Technical University Fuxin |
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| Institution: | HE Bo,GUO Sizong,MENG Yi Institute of Operation Research and Cybernetics,Liaoning Technical University,Fuxin 123000 |
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| Abstract: | 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. |
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| Keywords: | fuzzy structural-element E-distance the limit of a fuzzy numbers sequence convergence |
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