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

R. Muthuraj, K.H. Manikandan

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.

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References


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