BASES AND CIRCUITS OF FUZZIFYING MATROIDS
BASES AND CIRCUITS OF FUZZIFYING MATROIDS
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DOI：
10.22111/ijfs.2018.3755
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发表时间：
2017-07
影响因子：
1.8
通讯作者：
Shaojun Yang;F. Shi̇
中科院分区：
文献类型：
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作者：
Shaojun Yang;F. Shi̇
作为模糊拟阵的一个应用，本文提出了模糊化贪婪算法，并给出了一个实例。给出了模糊化拟阵的基公理和圈公理，它们分别是清晰拟阵基公理和圈公理的语义推广。证明了模糊化矩阵等价于满足基公理或圈公理的映射。
In this paper, as an application of fuzzy matroids, the fuzzifying greedy algorithm is proposed and an achievableexample is given. Basis axioms and circuit axioms of fuzzifying matroids, which are the semantic extension for thebasis axioms and circuit axioms of crisp matroids respectively, are presented. It is proved that a fuzzifying matroidis equivalent to a mapping which satisfies the basis axioms or circuit axioms.