Fuzzy Normal Sub-Bi HX Group and its Bi Level Normal Sub-Bi HX Groups

In this paper, we define the concept of fuzzy normal sub-bi HX group and also define the bi level subsets of a fuzzy normal sub-bi HX group of a bi HX group and discussed the relation between a given fuzzy normal sub-bi HX group and its bi level normal sub HX groups. We also investigate the conditions under which a given normal HX group has a properly inclusive chain of normal sub HX groups. In particular, we formulate how to structure a fuzzy normal sub-bi HX group by a given chain of normal sub HX groups.