双枝模糊粗集

Both-branch fuzzy rough sets

为进一步揭示模糊集、双枝模糊集与粗糙集的关系,在双枝模糊集及粗糙集的基础上,给出了上枝模糊粗集,下枝模糊粗集及双枝模糊粗集的概念;利用双枝模糊集及粗集的性质,讨论了下枝模糊粗集,上枝模糊粗集和双枝模糊粗集的性质.由讨论可知,双枝模糊集与粗集具有紧密的联系,由二者融合构成的双枝模糊粗集与模糊粗集具有类似的性质,双枝模糊粗集是模糊粗集的推广,而模糊粗集是双枝模糊粗集的特殊情况.

In order to reveal the relationships among the fuzzy sets, both-branch fuzzy sets and rough sets, the paper gave the concepts of the upper branch fuzzy rough sets, the lower branch fuzzy rough sets and both-branch fuzzy rough set based on branch fuzzy sets and rough sets; by using double branch concept of fuzzy sets and rough sets, the paper discussed the properties among the lower branch fuzzy rough sets, the branch fuzzy rough sets and both branch fuzzy rough set. The conclusions show both-branch fuzzy sets and rough sets have close ties, and also there is a similar nature between the two fusion branch fuzzy rough sets and fuzzy rough sets. Branch fuzzy rough sets are generalization of the fuzzy rough sets, and fuzzy rough sets are a special case of two-branch fuzzy rough sets.