摘要
利用模糊直线定义模糊仿射集 ,研究其有关性质。在此基础上 ,定义模糊向量子空间 ,证明一个模糊集为模糊仿射集的充要条件是该模糊集是一个模糊子空间的平移。
A definition of an affine fuzzy sets based on fuzzy line is presented. The properties of the affine set are discussed. According to the above discussion, the notion of a fuzzy subspace is introduced, it is shown that a fuzzy set is an affine fuzzy set if and only if this fuzzy set is a translate of a fuzzy subspace.
出处
《模糊系统与数学》
CSCD
2003年第2期39-42,共4页
Fuzzy Systems and Mathematics
基金
国家自然科学基金资助项目 (6 0 2 74 0 16 )
