三类拟阵粗糙模糊集模型

On Three Types of Matroid Based on Rough Fuzzy Sets

拟阵是图论与代数的结合,而粗糙模糊集是粗糙集与模糊集的结合.利用拟阵理论提出三类粗糙模糊集,通过模型中上下近似算子之间的关系,讨论拟阵粗糙模糊集的相关性质以及三类模型之间的区别与联系.最后给出了不同拟阵在第三类粗糙模糊集中生成相同上、下近似的充要条件.

Matroid connects graph and matrix, while rough fuzzy set is the combination of rough set and fuzzy set. First, this paper studies three kinds of rough fuzzy sets by using matroid. Through the relationship between the upper and lower approximation operators of the model, the paper then discusses some base attributes and the difference among three types of rough fuzzy sets. In the end, this paper presents necessary and sufficient conditions for generating the same upper and lower approximation operations by different matroid.