Fractal dimension for multi-fuzzy fractal sets with three objects

One of the generalization approaches to the fuzzy metric space (FMS) is a fuzzy fractal space (FFS). The important properties of the FFS provide advantages when approximating and analyzing images and many other objects. A finite number of FFSs collected via a Cartesian product generates a new space...

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Bibliographic Details
Main Authors: Mohammed, Arkan Jassim, Abdul-Wahed, Hussam Yahya
Format: Conference Proceeding
Language:English
Subjects:
Cartesian coordinates
Fractal geometry
Fuzzy sets
Metric space
Online Access:Get full text
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Summary:One of the generalization approaches to the fuzzy metric space (FMS) is a fuzzy fractal space (FFS). The important properties of the FFS provide advantages when approximating and analyzing images and many other objects. A finite number of FFSs collected via a Cartesian product generates a new space known as multi-fuzzy fractal space (MFFS). However, finding the dimension of the MFFS is a challenge, is constructed based on the dimensions of the FFSs. In this paper, we proposed a new technique to prove the existence of the fractal dimension for the multi-fuzzy fractal set (MFF-set) generate by different fuzzy iterated function system (FIFS) consisting of 3 objects.
ISSN:0094-243X
1551-7616
DOI:10.1063/5.0121689