Intuitionistic fuzzy subspace based on 3-value fuzzy set
Zhang Shuai · Journal of Liaoning Technical University · 2010
In view of the new definition of cut set about intuitionistic fuzzy set-3-value fuzzy set,the theories of intuitionistic fuzzy subspace are revisited.In this paper,the definitions of intuitionistic fuzzy subspace and intuitionistic fuzzy affine set are given based on 3-value fuzzy set.Also,why an intuitionistic fuzzy set is the necessary and sufficient condition of intuitionistic fuzzy subspace or intuitionistic fuzzy affine set is discussed.The relationship between intuintionistc fuzzy affine set and intuitionistic fuzzy subspace is elaborated.In addition,the definition of intuitionistic fuzzy linear transformation and intuitionistic fuzzy affine transformation are proposed and their relationship is investigated.Under the definition of 3-value fuzzy set,the conclusions of intuitionistic fuzzy subspaces still hold.