Fuzzy Systems

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Intuitionistic Q-Fuzzy HX Group and its < α, β >-Level Sub HX Groups


Affiliations
1 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 an intuitionistic Q-fuzzy HX group and also define the < α, β > - level subsets of an intuitionistic Q-fuzzy HX group and discussed the relation between a given an intuitionistic Q-fuzzy HX group and its   < α, β > - level sub HX groups and investigate the conditions under which a given sub HX group has a properly inclusive chain of sub HX groups. In particular, we formulate how to structure a intuitionistic Q-fuzzy HX group by a given chain of sub HX groups.

Keywords

Intuitionistic Fuzzy Set, Intuitionistic Q-Fuzzy set, Intuitionistic Fuzzy Subgroup, Intuitionistic Q-Fuzzy Subgroup, Intuitionistic Q-Fuzzy HX Subgroup and < α, β >-Level Sub HX Groups.
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  • Intuitionistic Q-Fuzzy HX Group and its < α, β >-Level Sub HX Groups

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Authors

R. Muthuraj
H.H. Rajah’s College, Pudukkottai, India
K. H. Manikandan
P. S. N. A. College of Engineering and Technology, Dindigul, India

Abstract


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

Keywords


Intuitionistic Fuzzy Set, Intuitionistic Q-Fuzzy set, Intuitionistic Fuzzy Subgroup, Intuitionistic Q-Fuzzy Subgroup, Intuitionistic Q-Fuzzy HX Subgroup and < α, β >-Level Sub HX Groups.