|
- 2018
一个准模糊图拟阵的新特征
|
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
[1] | GOETSCHEL R, VOXMAN W. Fuzzy Circuits[J]. Fuzzy Sets and Systems, 1989, 32(1): 35-43. DOI:10.1016/0165-0114(89)90086-9 |
[2] | GOETSCHEL R, VOXMAN W. Bases of Fuzzy Matroids[J]. Fuzzy Sets and Systems, 1989, 32(2): 253-261. |
[3] | 吴德垠. 准模糊图拟阵[J]. 重庆大学学报(自然科学版), 1996, 19(5): 100-109. |
[4] | 李安贵, 张志宏, 孟艳, 等. 模糊数学及其应用[M]. 2版. 北京: 冶金工业出版社, 2005: 19-27. |
[5] | 刘桂真, 陈庆华. 拟阵[M]. 长沙: 国防科技大学出版社, 1994. |
[6] | GOETSCHEL R, VOXMAN W. Fuzzy matroids[J]. Fuzzy Sets and Systems, 1988, 27(3): 291-302. DOI:10.1016/0165-0114(88)90055-3 |