Some neutrosophic triplet structures based on neutrosophic quadruple sets

This thesis consists of six chapters. In the first chapter, in which the introduction is given, the historical process of fuzzy sets, intuitionistic fuzzy sets, neutrosophic sets, neutrosophic triplet sets and neutrosophic quadruple sets is given. In the second chapter, in which general information is given, the definitions of fuzzy sets, neutrosophic sets, neutrosophic triplet sets and neutrosophic quadruple sets, which we will use in the thesis, are introduced. In the third chapter, neutrosophic triplet groups based on set valued neutrosophic quadruple numbers are examined. The basic definitions and properties of this structure, which together provide the neutrosophic quadruple theory and the properties of neutrosophic triplet groups, are given. In the fourth chapter, neutrosophic triplet fields and neutrosophic triplet vector space based on set valued neutrosophic quadruple numbers are examined, and the basic properties of these structures are introduced. In the fifth chapter, neutrosophic triplet fields and neutrosophic triplet vector space based on set valued neutrosophic quadruple numbers are examined. In the sixth chapter, the results obtained from the thesis are given.