Citation
M.G. Al-Saidi , Nadia and Md. Said, Mohamad Rushdan and M. Ahmed, Adil
(2009)
IFS on the multi-fuzzy fractal space.
International Journal of Computational and Mathematical Sciences, 3 (2).
pp. 86-90.
ISSN 2070-3910
Abstract
The IFS is a scheme for describing and manipulating complex fractal attractors using simple mathematical models. More precisely, the most popular “fractal –based” algorithms
for both representation and compression of computer images have involved some implementation of the method of Iterated Function Systems (IFS) on complete metric spaces. In this paper a new generalized space called Multi-Fuzzy Fractal Space was constructed. On these spases a distance function is defined, and its completeness is proved. The completeness property of this space ensures the existence of a fixed-point theorem for the family of continuous
mappings. This theorem is the fundamental result on which the IFS methods are based and the fractals are built. The defined mappings are proved to satisfy some generalizations of the contraction condition.
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