Intuitionistic fuzzy affine spaces and intuitionistic fuzzy subspaces
Zinan Liu · Journal of Liaoning Technical University · 2005
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.