α-模糊向量空间

α-Fuzzy Vector Spaces

给出了α－模糊向量空间的定义，讨论了α－模糊向量空间的一些性质，给出了向量空间Ｖ的一个模糊子集成为α－模糊向量空间的充分必要条件．最后给出了α－模糊线性无关的定义，推广了有关文献中的结果．

Definition of α-fuzzy vector space is given. some properties of α-fuzzy vector space are discussed. Sufficient and necessary conditions that a fuzzy subset of a vector space makes a α-fuzzy vector space are proposed. Finally, concepts of α-fuzzy linear independence is given, which generalizes some results of related references.