Original Research Article

Article volume = 2023 and issue = 1

Pages: 39–54

Article publication Date: December 27, 2022

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# Norms Over Intuitionistic Fuzzy Subgroups on Direct Product of Groups

#### Rasul Rasuli

Department of Mathematics, Payame Noor University (PNU), P. O. Box 19395-3697, Tehran, Iran.

##### Abstract:

In this paper, by using norms (t-norm T and s-norm S), the notion of intuitionistic fuzzy subgroups on direct product of groups will be introduced. Also intersection and normality of them will be defined and investigated some properties of them. Finally, some results of them under group homomorphisms will be provided.

##### Keywords:

Group theory, theory of fuzzy sets, intuitionistic fuzzy groups, norms, homomorphisms, intersection.

##### References:

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##### Cite this article as:

- Rasul Rasuli, Norms Over Intuitionistic Fuzzy Subgroups on Direct Product of Groups, Communications in Combinatorics, Cryptography & Computer Science, 2023(1), PP.39–54, 2022
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