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