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Interpolation in Normal Extensions of the Brouwer Logic

100%

Kostrzycka Z.

Bulletin of the Section of Logic

2016

tom 45

nr 3/4

The Craig interpolation property and interpolation property for deducibility are considered for special kind of normal extensions of the Brouwer logic.

Beta fuzzy logic systems approximation properties in the mimo case

75%

Alimi A. M., Hassine R., Selmi M.

International Journal of Applied Mathematics and Computer Science

2003

tom 13

nr 2

225-238

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 Fuzzy Logic Systems (BFLS). We show that BFLSs are universal approximators. We also prove that they possess the best approximation property and the interpolation characteristic.

Ograniczanie wyników

1 Bulletin of the Section of Logic

1 International Journal of Applied Mathematics and Computer Science

1 Alimi A. M.

1 Hassine R.

1 Kostrzycka Z.

1 Selmi M.

1 2016

1 2003

Wyniki wyszukiwania

Interpolation in Normal Extensions of the Brouwer Logic

Beta fuzzy logic systems approximation properties in the mimo case