Algebraic Structure of Union of Fuzzy (Anti-Fuzzy) Normal Subgroups, Fuzzy (Anti-Fuzzy) Normal Sub - Bigroups and Soon Fuzzy (Anti-Fuzzy) Normal Sub - N Groups

In this paper, union of Fuzzy subsets, definition of Fuzzy normal subgroup, definition of Fuzzy normal sub bi-group, definition of Fuzzy normal sub tri-group, definition of Fuzzy normal sub- Quadratic group, definition of fuzzy normal sub Pentant group and definition of Fuzzy normal sub–N group are derived. Moreover, some properties and theorems of union in fuzzy normal based on these have been derived.