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-  2018 

一个准模糊图拟阵的新特征
The New Character of Quasi-Fuzzy Graph Matroids

DOI: 10.13718/j.cnki.xdzk.2018.02.006

Keywords: 拟阵, 模糊拟阵, 准模糊图拟阵, 模糊基集, 模糊基公理, 元好
matroid
, fuzzy matroid, quasi-fuzzy graph matriod, fuzzy base set, axiom of fuzzy bases, good-element

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Abstract:

首先定义模糊拟阵的“元好”概念,并构造了具有“元好”性质的闭模糊拟阵模糊基的结构定理;然后,证明了闭模糊拟阵为准模糊图拟阵的充要条件就是“元好”;最后,用“元好”概念,构建了准模糊图拟阵的又一个模糊基公理.
First, the concept of 'good-element' in fuzzy matroids is defined in this paper, and the structure theorem of fuzzy bases in closed fuzzy matroids of good-element is constructed. Then, it is proved that 'good-element' is the necessary and sufficient condition for a closed fuzzy matroid being a quasi-fuzzy graph matriod. Finally, with the help of the concept 'good-element', another axiom of fuzzy bases is formed for quasi-fuzzy graph matroids

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