Neutrosophic Soft Sets in One And Two-Dimensions Using Iteration Method

This paper introduces a different perspective of Neutrosophic Fractals and Neutrosophic Soft Fractals, merging the principles of Neutrosophic Logic, Soft set theory, and Fractal Geometry to address indeterminacy in complex, self-similar structures specifically the Von Koch curve and the Sierpinski triangle. It sightsees the complex qualities of Neutrosophic soft sets by incorporating attributes of falsification, indefiniteness, and truth into union and intersection operations. The research elucidates the interplay between Neutrosophic Logic and fractal geometry, leading to more precise modeling of complex systems. Proving theorems and providing examples examine the intricate interactions between membership characteristics in these fractal structures, demonstrating self-similarity. Fractal geometry is applied innovatively to improve the representation of uncertainty, indeterminacy, and falsity in Neutrosophic Logic, enhancing mathematical modeling techniques. Results show that the Sierpinski triangle provides a better representation than the Koch curve.