Convergence and aperiodicity in fuzzy cellular automata: revisiting rule 90

Convergence and Aperiodicity in Fuzzy Cellular Automata: Revisiting Rule 90

In this paper we consider a continuous version of cellular automata (Fuzzy CA) obtained by “fuzzification” of the disjunctive normal form which describes the corresponding Boolean rule. We concentrate on Fuzzy rule 90, whose Boolean version has deserved some attention for the complex patterns it generates. We show that the behavior of Fuzzy rule 90 is very simple, in that the system always conv...

Edge Detection Based On Nearest Neighbor Linear Cellular Automata Rules and Fuzzy Rule Based System

 Edge Detection is an important task for sharpening the boundary of images to detect the region of interest. This paper applies a linear cellular automata rules and a Mamdani Fuzzy inference model for edge detection in both monochromatic and the RGB images. In the uniform cellular automata a transition matrix has been developed for edge detection. The Results have been compared to the ...

Edge Detection Based On Nearest Neighbor Linear Cellular Automata Rules and Fuzzy Rule Based System

 Edge Detection is an important task for sharpening the boundary of images to detect the region of interest. This paper applies a linear cellular automata rules and a Mamdani Fuzzy inference model for edge detection in both monochromatic and the RGB images. In the uniform cellular automata a transition matrix has been developed for edge detection. The Results have been compared to the ...

On Density and Convergence of Fuzzy Cellular Automata

Fuzzy cellular automata (FCA) are cellular automata where the local rule is defined as the “fuzzification" of the local rule of the corresponding Boolean cellular automaton in disjunctive normal form. In this paper we are interested in two separate issues: the relationship between Boolean and fuzzy models, and the asymptotic behavior of elementary fuzzy cellular automata. On the first issue, we...

Aperiodicity in Tree Automata