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


Affiliations
1 The H.H. Rajah's College, Pudukkottai, India
2 P. S. N. A. College of Engineering and Technology, Dindigul, India
     

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

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Authors

R. Muthuraj
The H.H. Rajah's College, Pudukkottai, India
P. M. Sithar Selvam
P. S. N. A. College of Engineering and Technology, Dindigul, India

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.