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

R. Muthuraj,, P.M. Sithar Selvam

Abstract


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.

Keywords


Fuzzy Set, Fuzzy Hx Group , Fuzzy Sub-Bi Hx Group , Fuzzy Normal Sub-Bi Hx Group, Bi Level Normal Sub Hx Groups. AMS Subject Classification (2000): 20N25, 03E72, 03F055 , 06F35, 03G25.

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