| Summary: | This study employs the notions of t-norms and t-co-norms to define a group of <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mi mathvariant="script">T</mi></semantics></math></inline-formula>-neutrosophic sub-groups and normal <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mi mathvariant="script">T</mi></semantics></math></inline-formula>-neutrosophic subgroups. Furthermore, the different properties of these sub-groups have been investigated. After that, the <i>t</i>-norm and the <i>t</i>-co-norm were applied to the finite direct product of the group.
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