Author(s)

Yue Wang^1,2, Yan Yan^1,2*, Xinru Shang¹

¹College of Science, North China University of Science and Technology, Tangshan, China.
²Hebei Key Laboratory of Data Science and Application, Tangshan, China.

Fuzzy homomorphism is an important research content of fuzzy group theory, different fuzzy mappings will produce different fuzzy homomorphisms. In this paper, the fuzzy homomorphism of groups is generalized. Firstly, the $\theta$ -intuitionistic fuzzy mapping is defined, and the $\theta$ -intuitionistic fuzzy homomorphism of groups is obtained. The properties of intuitionistic fuzzy subgroups and intuitionistic fuzzy normal subgroups are studied under the $\theta$ -intuitionistic fuzzy homomorphism of groups, and the fundamental theorem of $\theta$ -intuitionistic fuzzy homomorphism is proved.

-Intuitionistic Fuzzy Homomorphism, Intuitionistic Fuzzy Subgroup, Intuitionistic Fuzzy Normal Subgroup

Wang, Y. , Yan, Y. and Shang, X. (2024) Research on θ -Intuitionistic Fuzzy Homomorphism Theory. Journal of Applied Mathematics and Physics, 12, 3579-3589. doi: 10.4236/jamp.2024.1210213.