Neutrosophic Algebraic Mathematical Morphology.

In this paper, we introduce and study the NeutroAlgebra structure and many of operations and properties of the mathematical morphology. This is a generalization of the operations of fuzzy and classical mathematical morphology. An explanation of the new given operations is provided through several examples and experimental results. Since mathematical morphology deals with forms and is used in image processing, we consider in this research the Indeterminate Image (i.e. image with missing, unclear, or overlapping pixels), whose basic morphological operator's dilation, erosion, opening and closing transform an indeterminate image into another indeterminate image. Therefore, in fact, we deal with neutro-dilation, neutro-erosion, neutro-opening and neutro-closing. For a determinate image (i.e. image with no indeterminacy), the classical morphological operators transform it also into a determinate image, while the neutro-morphological operators into an indeterminate image. All work from below is available for both the indeterminate and determinate image. [ABSTRACT FROM AUTHOR]