| I-fuzzy拓扑线性空间中的零元平衡重域系 |
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| 引用本文： | 李慧,王瑞英,耿俊.I-fuzzy拓扑线性空间中的零元平衡重域系[J].模糊系统与数学,2020(3):19-25. |
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| 作者姓名： | 李慧 王瑞英 耿俊 |
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| 作者单位： | 内蒙古师范大学数学科学学院 |
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| 基金项目： | 国家自然科学基金资助项目(11761055)。 |
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| 摘 要： | 本文首先引入I-fuzzy拓扑线性空间的概念,并在该空间中利用连续值逻辑语义的方法研究了任意Fuzzy点重域系的性质;其次讨论了零元平衡重域系的结构及其性质;最后建立了零元的平衡重域系对I-fuzzy拓扑线性空间的刻画定理。
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| 关 键 词： | 模糊逻辑 I-fuzzy拓扑线性空间 重域 I-fuzzy平衡 |
The Balanced Q-neighborhood Systems of Zero Element in I-fuzzy Topological Vector Spaces |
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| LI Hui,WANG Rui-ying,GENG Jun.The Balanced Q-neighborhood Systems of Zero Element in I-fuzzy Topological Vector Spaces[J].Fuzzy Systems and Mathematics,2020(3):19-25. |
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| Authors: | LI Hui WANG Rui-ying GENG Jun |
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| Institution: | (Mathematics Science College,Inner Mongolia Normal University,Hohhot 010022,China) |
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| Abstract: | In this paper,we introduce the concept of I-fuzzy topological vector space,and use semantic method of continuous-valued logic to research the properties of Q-neighborhood systems of discretional fuzzy point in I-fuzzy topological vector spaces.Next we discuss the structures and properties of the balanced Q-neighborhood systems of zero element.Finally,the characterising theorem of the balanced Q-neighborhood systems of zero element for I-fuzzy topological vector spaces is established. |
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| Keywords: | Fuzzy Logic I-fuzzy Topological Vector Spaces Q-neighborhood Systems I-fuzzy Balance |
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