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On Intuitionistic Fuzzy Order of an Element of a Group


Affiliations
1 P.G. Department of Mathematics, D.A.V. College, Jalandhar City, Punjab, India
 

In this paper an attempt has been made to define the notion of intuitionistic fuzzy order of an element in intuitionistic fuzzy subgroup. Here we prove that every element of a group and its inverse have the same intuitionistic fuzzy order. We also define the order of intuitionistic fuzzy subgroup and prove the Lagrange's Theorem in the intuitionistic fuzzy case. Some properties of the intuitionistic fuzzy order of an element has been discussed.

Keywords

Intutionistic Fuzzy Subgroup (IFSG), Intuitionistic Fuzzy Normal Subgroup (IFNSG), Intuitionistic Fuzzy Order.
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  • On Intuitionistic Fuzzy Order of an Element of a Group

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Authors

P. K. Sharma
P.G. Department of Mathematics, D.A.V. College, Jalandhar City, Punjab, India

Abstract


In this paper an attempt has been made to define the notion of intuitionistic fuzzy order of an element in intuitionistic fuzzy subgroup. Here we prove that every element of a group and its inverse have the same intuitionistic fuzzy order. We also define the order of intuitionistic fuzzy subgroup and prove the Lagrange's Theorem in the intuitionistic fuzzy case. Some properties of the intuitionistic fuzzy order of an element has been discussed.

Keywords


Intutionistic Fuzzy Subgroup (IFSG), Intuitionistic Fuzzy Normal Subgroup (IFNSG), Intuitionistic Fuzzy Order.