Nötrosofi̇k üçlü g-metri̇k uzay

This master's thesis consists of four chapters. In the first chapter, which is the introduction, basic information about the fuzzy set, intuitionistic fuzzy set, neutrosophic set, neutrosophic triplet set, metric space, partial metric space, neutrosophic triplet metric space is given and the history of these structures is mentioned. In the second chapter, the fuzzy set, intuitionistic fuzzy set, neutrosophic set, neutrosophic triplet set, metric space, neutrosophic triplet metric space, neutrosophic partial metric space, g-metric space structures are introduced. In the third chapter, the neutrosophic triplet g-metric space structure is introduced and some examples are given to explain this structure. Theorems have been obtained showing that the neutrosophic triplet g-metric space is different and more general than the classical metric space and the neutrosophic triplet metric space. In the last section, the results obtained in the thesis are given.