Construction of neutrosophic soft vektor spaces with (T, S)-norms

The main purpose of this thesis is to examine the construction of neutrosophic soft vector space and neutrosophic soft subvector space structures with (t, s)-norms, the specify the basic properties of these structures and to evaluate the obtained results. The study consists of six main sections. The first section is devoted to an introduction that includes a comprehensive literature review designed to establish the theoretical foundation of the thesis topic. This section also explains the purpose, importance, and scope of the research. The second section includes general information, including some definitions and theorems that form the basis of the study. The third section presents the materials and methods used in the study. The fourth section presents the research findings. This section primarily introduces the concepts of neutrosophic soft vector space and neutrosophic soft subvector space, concretizing the topic with various theorems and examples related to these structures. Furthermore, the concepts of neutrosophic soft field and neutrosophic soft vector are discussed, and some fundamental properties of these structures are examined. The fifth section presents the conclusions drawn from the findings and suggestions for future research. The sixth section lists the sources utilized in the thesis.