IFS on the multi-fuzzy fractal space.
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 Functi...
| Main Authors: | , , |
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| Format: | Article |
| Language: | English English |
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World Academy of Science, Engineering and Technology (WASET)
2009
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| Online Access: | http://psasir.upm.edu.my/id/eprint/15090/1/IFS%20on%20the%20multi.pdf |
| _version_ | 1796968776865939456 |
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| author | M.G. Al-Saidi , Nadia Md. Said, Mohamad Rushdan M. Ahmed, Adil |
| author_facet | M.G. Al-Saidi , Nadia Md. Said, Mohamad Rushdan M. Ahmed, Adil |
| author_sort | M.G. Al-Saidi , Nadia |
| collection | UPM |
| description | 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. |
| first_indexed | 2024-03-06T07:33:19Z |
| format | Article |
| id | upm.eprints-15090 |
| institution | Universiti Putra Malaysia |
| language | English English |
| last_indexed | 2024-03-06T07:33:19Z |
| publishDate | 2009 |
| publisher | World Academy of Science, Engineering and Technology (WASET) |
| record_format | dspace |
| spelling | upm.eprints-150902015-10-22T07:41:17Z http://psasir.upm.edu.my/id/eprint/15090/ IFS on the multi-fuzzy fractal space. M.G. Al-Saidi , Nadia Md. Said, Mohamad Rushdan M. Ahmed, Adil 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. World Academy of Science, Engineering and Technology (WASET) 2009 Article PeerReviewed application/pdf en http://psasir.upm.edu.my/id/eprint/15090/1/IFS%20on%20the%20multi.pdf 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 English |
| spellingShingle | M.G. Al-Saidi , Nadia Md. Said, Mohamad Rushdan M. Ahmed, Adil IFS on the multi-fuzzy fractal space. |
| title | IFS on the multi-fuzzy fractal space. |
| title_full | IFS on the multi-fuzzy fractal space. |
| title_fullStr | IFS on the multi-fuzzy fractal space. |
| title_full_unstemmed | IFS on the multi-fuzzy fractal space. |
| title_short | IFS on the multi-fuzzy fractal space. |
| title_sort | ifs on the multi fuzzy fractal space |
| url | http://psasir.upm.edu.my/id/eprint/15090/1/IFS%20on%20the%20multi.pdf |
| work_keys_str_mv | AT mgalsaidinadia ifsonthemultifuzzyfractalspace AT mdsaidmohamadrushdan ifsonthemultifuzzyfractalspace AT mahmedadil ifsonthemultifuzzyfractalspace |