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Beta fuzzy logic systems approximation properties in the mimo case

Adel Alimi, Radhia Hassine, Mohamed Selmi (2003)

International Journal of Applied Mathematics and Computer Science

Many researches have been interested in the approximation properties of Fuzzy Logic Systems (FLS), which, like neural networks, can be seen as approximation schemes. Almost all of them tackled the Mamdani fuzzy model, which was shown to have many interesting approximation features. However, only in few cases the Sugeno fuzzy model was considered. In this paper, we are interested in the zero-order Multi-Input-Multi-Output (MIMO) Sugeno fuzzy model with Beta membership functions. This leads to Beta...

Bilateral polynomial equations with unimodular right-hand-side matrices

Tadeusz Kaczorek (2003)

International Journal of Applied Mathematics and Computer Science

Necessary and sufficient conditions are established for the existence of a solution to some bilateral polynomial matrix equations with unimodular right-hand-side matrices. A procedure for the computation of the solution is derived and illustrated by a numerical example. Two examples of applications of bilateral polynomial matrix equations are presented.

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