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Neutrosophic valued neutrosophic crisp sets

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2022
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Abstract (EN)

In this master's thesis, which consists of four chapters, neutrosophic valued neutrosophic crisp sets are defined as a generalization of neutrosophic crisp sets. In the first chapter, which is the introduction, basic information about fuzzy set, neutrosophic set, and neutrosophic crisp set structures is given and the history of these structures is mentioned. In the second chapter, which contains general information, the definitions of fuzzy sets, intuitionistic fuzzy set, neutrosophic set, single valued neutrosophic set and the neutrosophic crisp set are exemplified. In the third chapter, neutrosophic valued neutrosophic crisp set structure and types are defined and examples are given. Neutrosophic valued neutrosophic crisp sets are described and exemplified along with the basic types of set operations such as inclusion, complement, intersection, union, difference and Cartesian product. Again, theorems such as single force property, commutative property, union property and De Morgan's rules for neutrosophic valued neutrosophic crisp sets are obtained and their proofs are given. In the last chapter, the results obtained from the studies carried out in the thesis are given.

Author

Sinan İbrahim Karagülle

How to Cite

Sinan İbrahim Karagülle (Master Thesis). Neutrosophic valued neutrosophic crisp sets, 2022, Gaziantep University.

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