الفهرس 
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Abstract
The main aim of this thesis is to provide a comprehensive overview of a neutrosophic approach for mathematical morphology. The new approach is considered to be an extension of the binary mathematical morphology and the fuzzy mathematical morphology, and proposed as a new tool for binary and gray images processing and analysis. We apply the concepts of the neutrosophic crisp sets and its operations as well as the neutrosophic fuzzy sets to the classical mathematical morphological operations; introducing what we call ”Neutrosophic Crisp Mathematical Morphology” and ”Neutrosophic Mathematical Morphology”. Several operators are to be developed, including the neutrosophic (crisp) dilation, the neutrosophic (crisp) erosion, the neutrosophic (crisp) opening and the neutrosophic (crisp) closing. Moreover, we extend the definition of some morphological filters using the neutrosophic (crisp) sets concept. For instance, we introduce the neutrosophic (crisp) boundary extraction, the neutrosophic (crisp) Top-hat and the neutrosophic (crisp) Bottom-hat filters. The idea behind the new introduced operators and filters is to act on the image in the neutrosophic (crisp) domain instead of the spatial domain. Moreover, we introduce an investigation for some algebraic properties of the introduced operations and we use some different combinations of these basic operations to produce some more advanced neutrosophic filters for boundary extraction. Explanation of the proposed operations is also provided through several examples and experimental results conducted over real life binary and grayscale images. Furthermore, we demonstrate the efficiency of the proposed operator in one of the most important image processing application. ”Image threshold” the experimental results show a slight improvement when we used the new operators when comparing with the operators from both the classical and fuzzy mathematical morphology.