Normed and metric spaces on neutrosophic triplet structure

This thesis consists of six chapters. In the first chapter, the historical process of neutrosophic sets is mentioned. In the second chapter, basic information about the concept of a fuzzy set is given. In continuation, the concept of the intuitive fuzzy set which is an upper generalization of the concept of a fuzzy set was examined and its general properties were reminded. In addition, the concepts of neutrosophic set, single-valued neutrosophic set, interval valued neutrosophic set which is an upper generalization of the concept of intuitive fuzzy sets was examined and its general properties and operations were reminded. In the third chapter, the definition of neutrosophic triplet sets and some concepts in neutrosophic triple set are examined. In the fourth chapter, some basic definitions n and theorems related to neutrosophic triple partial inner product space are given. In the fifth chapter, some basic definitions, examples and theorems about neutrosophic v-generalized metric space and neutrosophic partial v-generalized metric space are given. Finally, in the sixth chapter, suggestions were made about the study.