NÖTROSOFİK KÜMELER VE NÖTROSOFİK ÜÇLÜ NORMLU UZAYLAR

This thesis consists of six chapters. In the first chapter, in which the introduction is given, the historical process of some classical metrics, fuzzy sets, neutrosophic sets and neutrosophic triplet sets is given. In the second chapter, in which general information is given, the definitions and properties of some classical metrics, fuzzy sets, neutrosophic sets and neutrosophic triplet sets that we will use in the thesis are reviewed. In addition, the definitions of some neutrosophic triplet structures and application studies using neutrosophic sets are also included in this section. In the third chapter, which includes the studies, a decision-making application was obtained by using a new neutrosophic similarity measure to evaluate professional competencies. In the fourth chapter, which includes the studies, some neutrosophic triplet metric spaces are defined and some properties of these spaces are given. In addition, these neutrosophic triplet metric spaces and classical metric spaces are compared and the relationship between them is given. In the fifth chapter, which includes the last of the studies, some neutrosophic triplet normed spaces are defined and the general properties of these spaces are given. In addition, these neutrosophic triplet normed spaces and classical normed spaces are compared and the relationship between them is given. In addition, the relations between the neutrosophic triplet metric spaces in the third section and the neutrosophic triplet normed spaces in the fourth section are given. Finally, in the sixth chapter, the results obtained in the thesis are given and suggestions for new studies are made.