G-直觉模糊等价关系

G-intuitionistic Fuzzy Equivalent Relation

给出了一种新型的直觉模糊等价关系（称之为Ｇ－直觉模糊等价关系），讨论了Ｇ－直觉模糊等价关系的分类，研究了集合Ｘ上的所有Ｇ－直觉模糊等价关系的集合Ｅ（Ｘ）的一些性质及Ｇ－直觉模糊等价关系在平衡映射之下的象和逆象．

Definition of G-intuitionistic fuzzy equivalent relation is given. Equivalent class of G-intuitionistic fuzzy equivalent relation is discussed. Some properties of set E(X) of G-inturtionistic fuzzy equivalent relation and image and preimage of G-intuitionistic fuzzy equivalent relation under ballanced mapping are studied.