Journal of Neutrosophic and Fuzzy Systems JNFS 2771-6449 2771-6430 10.54216/JNFS https://www.americaspg.com/journals/show/958 2021 2021 Islamic University Of Gaza, Palestine Katy D. Ahmad Gaziantep University, Turkey Mikail Bal Malath Aswad, Albaath university, Syria Malath Aswad The aim of this paper is to define  the concept of kernel subgroup of a fuzzy group and anti-fuzzy group respectively. Also, we prove that these kernels are groups in the ordinary algebraic meaning, as well as presenting many results about fuzzy groups and anti-fuzzy groups. 2021 2021 48 54 10.54216/JNFS.010105 https://www.americaspg.com/articleinfo/24/show/958