| 广义模糊数及其序列的极限 |
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| 引用本文： | 张德利,郭彩梅,李晓萍.广义模糊数及其序列的极限[J].数学的实践与认识,2021(7):176-186. |
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| 作者姓名： | 张德利 郭彩梅 李晓萍 |
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| 作者单位： | 长春师范大学数学学院;长春大学理学院;天津师范大学管理学院 |
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| 基金项目： | 国家自然科学基金(1127063);吉林省自然科学基金(20190201014JC) |
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| 摘 要： | 重新定义了广义模糊数,引入了"序"、"运算"及"度量",得到了一些基本性质,并研究了广义模糊数序列的极限及性质,给出了单调收敛、闭区间套等重要定理,使模糊数对应理论得以拓广.
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| 关 键 词： | 模糊数 广义模糊数 度量 序列 极限 |
Generalized Fuzzy Numbers and Its Limit of Sequences |
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| ZHANG De-li,GUO Cai-mei,LI Xiao-ping.Generalized Fuzzy Numbers and Its Limit of Sequences[J].Mathematics in Practice and Theory,2021(7):176-186. |
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| Authors: | ZHANG De-li GUO Cai-mei LI Xiao-ping |
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| Institution: | (College of Mathematics,Changchun Normal University,Changchun 130032,China;College of Sciences,Changchun University,Changchun 130022,China;Management College,Tianjin Normal University,Tianjin 300387,China) |
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| Abstract: | In the paper,the generalized fuzzy number is redefined,the order,operations and metrics are induced on it,some basic properties are obtained.The limit and properties of sequences of generalized fuzzy numbers are discussed,some important theorems such as monotone convergence theorems,closed interval set theorem are given,these have make the corresponding theory of fuzzy numbers extend. |
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| Keywords: | fuzzy number generalized fuzzy number metric sequence limit |
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