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Neutrosophic triplet bipolar metric spaces and neutrosophic triplet partial bipolar metric spaces

2021
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Advisor: Prof. Dr. Memet Şahin

Abstract (EN)

This master's thesis consists of five chapters. In the first chapter, which is the introduction, information is given about the neutrosophic sets, neutrosophic triplet sets, bipolar metric space structures and the history of these structures. In the second chapter, where general information is included, fuzzy set, intuitionistic fuzzy set, neutrosophic set, neutrosophic triplet set, metric space, neutrosophic triplet metric space, bipolar metric space structures are introduced. In the third chapter, the neutrosophic triplet bipolar metric space structure is introduced. Some examples are given to make this structure understandable. In addition, some theorems have been obtained proving that neutrosophic triplet bipolar metric space is more general than classical metric space, neutrosophic triplet metric space, bipolar metric space. In the fourth chapter, the neutrosophic triplet partial bipolar metric space structure is introduced. Theorems showing that the neutrosophic triplet partial bipolar metric space is different from the neutrosophic triplet metric space, neutrosophic triplet partial metric space and neutrosophic triplet bipolar metric space are given. In the last chapter, the results obtained in the thesis are given.

Author

Dr. Merve Sena Uz

How to Cite

Merve Sena Uz (Master Thesis). Neutrosophic triplet bipolar metric spaces and neutrosophic triplet partial bipolar metric spaces, 2021, Gaziantep University.

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