| 闭G-V模糊拟阵的模糊圈公理 |
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| 引用本文： | 吴德垠,杨高进. 闭G-V模糊拟阵的模糊圈公理[J]. 吉林大学学报(理学版), 2020, 58(2): 239-250. DOI: 10.13413/j.cnki.jdxblxb.2019044 |
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| 作者姓名： | 吴德垠 杨高进 |
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| 作者单位： | 重庆大学 数学与统计学院, 重庆 401331 |
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| 摘 要： | 采用类似拟阵圈公理的方法, 讨论闭G V模糊拟阵的模糊圈公理. 首先给出G-V模糊拟阵模糊圈的若干性质; 然后利用这些性质, 讨论如何利用初等模糊圈集确定G-V模糊拟阵; 最后提出并证明闭G V模糊拟阵的模糊圈公理. 由该公理可知, 一个初等模糊集族、 一组有限数列和一个模糊集映射, 在满足一定条件下可唯一确定一个闭G-V模糊拟阵.
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| 关 键 词： | 拟阵 圈公理 模糊拟阵 圈函数 圈区间 广义圈函数 圈范围 模糊圈公理 |
| 收稿时间： | 2019-02-25 |
Fuzzy Circuit Axioms of Closed G-V Fuzzy Matroids |
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| WU Deyin,YANG Gaojin. Fuzzy Circuit Axioms of Closed G-V Fuzzy Matroids[J]. Journal of Jilin University: Sci Ed, 2020, 58(2): 239-250. DOI: 10.13413/j.cnki.jdxblxb.2019044 |
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| Authors: | WU Deyin YANG Gaojin |
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| Affiliation: | College of Mathematics and Statistics, Chongqing University, Chongqing 401331, China |
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| Abstract: | Using the method similar to the circuit axioms of matroids, we discussed fuzzy circuit axioms of closed G V fuzzy matroids. Firstly, we gave some properties of fuzzy circuits of G-V fuzzy matroids. Secondly, using these properties, we discussed how to use elementary fuzzy circuit sets to determine G-V fuzzy matroids. Finally, we proposed and proved a fuzzy circuit axiom of closed G-V fuzzy matroids. According to this axiom, a collection of elementary fuzzy sets, a finite number sequence and a mapping of fuzzy sets could uniquely determine a closed G-V fuzzy matroid under certain conditions. |
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| Keywords: | matroid circuit axiom fuzzy matroid circuit function circuit interval generalized circuit function circuit range fuzzy circuit axiom
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