SINGLE VALUED NEUTROSOPHIC NUMBER VALUED GENERALIZED NEUTROSOPHIC TRIPLET GROUPS AND ITS APPLICATION

Neutrosophy is a philosophical branch. The foundations of neutrosophy are neutrosophic logic, neutrosophic probability, and the neutrosophic set. In neutrosophic set theory, neutrosophic triplet theory is a new structure. We presented the concept of a generalised neutrosophic triplet group in this paper. For the generalised neutrosophic triplet group, we defined a contradictory element. The opposite element is distinct from the anti element. In decision-making applications, the opposing element is useful. Then, for single-valued neutrosophic numbers, we defined a neutral similarity measure and a contradictory similarity measure. The features of neutral and opposing similarity measures were investigated. We also used neutral and opposing similarity measures to introduce single valued neutrosophic number valued generalised neutrosophic triplet set and single valued neutrosophic number valued generalised neutrosophic triplet group. For the first time, we used neutrosophic set theory and neutrosophic triplet set theory to create a new structure. In addition, a novel way for decision-making application was introduced.

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