SINGLE VALUED NEUTROSOPHIC NUMBER VALUED GENERALIZED NEUTROSOPHIC TRIPLET GROUPS AND ITS APPLICATIONS FOR DECISION MAKING APPLICATIONS

Neutrosophy is a branch of philosophy. Neutrosophy is based on neutrosophic logic, neutrosophic probability and neutrosophic set. Neutrosophic triplet theory is new structure in neutrosophic set theory. In this study; we introduced notion of generalized neutrosophic triplet group. We defined contrary element for generalized neutrosophic triplet group. The contrary element is different from anti element. Contrary element is useful in decision making applications. Then we defined a neutral similarity measure and a contrary similarity measure for single valued neutrosophic number. We studied properties of neutral similarity measure and contrary similarity measure. Also, we introduced single valued neutrosophic number valued generalized neutrosophic triplet set and single valued neutrosophic number valued generalized neutrosophic triplet group by using neutral similarity measure and contrary similarity measure. So we obtained a new structure by using neutrosophic set theory and neutrosophic triplet set theory for the first time. Furthermore, we introduced o new method for decision making application.