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Neutrosophic Extended Triplets
It is a classical group, with classical unit = 1, and each element (except 0) has an inverse. a) From a classical group point of view, we arrange the elements as: <element, classical neutral element, classical inverse of the element>,
and we get:
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<1,1,1>, <2,1,3>, <3,1,2>, <4,1,4>. b) Let's consider the 'neutrosophic triplets' (meaning that the neutral is not allowed to be equal to 1): <0,0,0>, <0,0,1>, <0,0,2>, <0,0,3>, <0,0,4>. c) Now let's consider the 'neutrosophic extended triplets' (meaning that the neutral is allowed to be equal to 1): <1,1,1>, <2,1,3>, <3,1,2>, <4,1,4>; <0,0,0>, <0,0,1>, <0,0,2>, <0,0,3>, <0,0,4>. The Neutrosophic Extended Triplet Group enriches the classical group, since the elements have more neutrals and more opposites besides.
Neutrosophic Extended Triplets
To W. B. Vasantha Kandasamy, Tèmítópé Gbóláhàn Jaíyéolá,
Mumtaz Ali, Mehmet Şahin, Abdullah Kargin I have thought at generalizing the Neutrosophic Triplets to
Neutrosophic Extended Triplets (NETs), by allowing the classical unitary element to be a neut(x), so enriching the structure of a classical group. See below the UNM website and the definition of NETs:
