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Document Type |
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Thesis |
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Document Title |
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Neutrosophic Fuzzy Soft Sets Based on Algebraic Structures تطبيق مفهوم المجموعات الناعمة الفازية النيوتروسوفكية على بنية جبرية |
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Subject |
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Faculty of Science |
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Document Language |
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Arabic |
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Abstract |
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The aim of this dissertation is to introduce a new method of images fusion using neutrosophic fuzzy sets, study of the neutrosophic fuzzy soft sets based on BCK-modules and investigate their properties.
In chapter 1: The previous concepts of fuzzy sets, soft sets, BCK-algebras, BCK-modules and fuzzy BCK-modules are introduced. Also, some of the properties, theories and results are reviewed in order to take advantage of them in the coming chapters of the thesis.
In chapter 2: A simple and effective approach is introduced to fusion infrared and visual images using neutrosophic fuzzy sets in order to extract target details from infrared images and improve visibility in the performance of surveillance systems. Experimental results are applied to evaluate the performance of this approach and compare it to the recent image fusion methods using several objective evaluation criteria. These experiments demonstrate that the proposed method achieves outstanding visual performance and excellent objective indicators.
In chapter 3: The notion of neutrosophic soft sets is applied to the theory of BCK-modules by introducing the notion of neutrosophic fuzzy soft BCK-submodules and deriving their basic properties. Also, translations and multiplications of neutrosophic fuzzy soft BCK-submodules are discussed. Extensions of neutrosophic fuzzy soft BCK-submodules are introduced. Relation between translations and extensions of neutrosophic fuzzy soft BCK-submodules are presented. Finally, in the last section an application of neutrosophic fuzzy soft sets in decision making is investigated and an example demonstrating the successfully application of this method
is provided.
The outcomes of this dissertation are the following papers:
1. R. S. Alghamdi and N. O. Alshehri. Contemporary Concepts of Neutrosophic Fuzzy Soft BCK-submodules, Computational Analysis and Applications, 2020, Vol. 28, No. 4, 745-762.
2. R. S. Alghamdi and N. O. Alshehri. Neutrosophic Fuzzy Soft BCK-submodules, Neutrosophic Sets and Systems, 2020, Vol. 33, 145-156.
3. R. S. Alghamdi and N. O. Alshehri. Fusion of Infrared and Visible Images Using Neutrosophic Fuzzy Sets, Multimedia Tools and Applications. submitted. |
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Supervisor |
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Prof. Noura Omair Alshehri |
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Thesis Type |
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Doctorate Thesis |
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Publishing Year |
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1442 AH
2020 AD |
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Added Date |
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Saturday, February 27, 2021 |
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Researchers
| رانية سعيد الغامدي | Alghamdi, Rania Saeed | Researcher | Doctorate | |
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