【摘要】 在K.Atanassov引进直觉模糊集概念的基础上,利用直觉模糊点研究直觉模糊仿射空间与直觉模糊子空间,证明了向量空间E上的直觉模糊集是E上的直觉模糊子空间或直觉模糊仿射集的充要条件以及线性映射将直觉模糊子空间映射为直觉模糊子空间的定理,给出了直觉模糊线性变换和直觉模糊仿射变换的概念,并研究了直觉模糊线性变换和直觉模糊仿射变换之间的关系,从而使模糊空间和模糊变换的基本理论得到进一步的推广。更多还原

【Abstract】 On the basis of the concept of the intuitionistic fuzzy set introduced by K.Atanassov,the intuitionistic fuzzy affine spaces and intuitionistic fuzzy subspaces are investigated by using intuitionistic fuzzy point,a necessary and sufficient condition for an intuitionistic fuzzy set is an intuitionistic fuzzy subspace or an intuitionistic affine set of vector space E and a theorem of linear map transforming an intuitionistic fuzzy subspace to another intuitionistic fuzzy subspace are proved.The definition of intuitionistic fuzzy linear transformation and intuitionistic fuzzy affine transformation are proposed,and the relations between them are studied.The basic theorems of fuzzy sets are popularized in this paper.更多还原