Homomorphism of Intuitionistic Fuzzy Groups

Intuitutionistic fuzzy sets (simply, JdegFS) are a generalization of Fuzzy sets. Defining operations of sets by JdegFS, a new type of intuitutionistic fuzzy groups (JdegFG) is obtained. However, a few of properties of structure of JdegFG are known. Aimed at this, this paper forwards four theorems about JdegFG :1. the condition of subset is subgroup in JdegFG; 2. JdegF homomorphic image of JdegF subgroup is JdegF subgroup; 3.a kernel of homomorphism is normal subgroup; 4. the JdegF homomorphic theorem. The work by this paper is different from the classical groups. In the former, the operations are JdegF operations. In the latter, the operations are classical. This paper enriches the structural properties of JdegFG.