Fuzzy sets, fuzzy transforms, approximation, fuzzy partition, partial differential equations.

The method of fuzzy transforms has been introduced by I. Perfilieva as a good technique of approximate representation of continuous functions. It suits also to be applied in solution of differential equations. This fact was verified on some problems from different areas of research. A new idea of solving partial differential equations rises on. So, this method had to be extended for functions with more variables to approximate and solve partial differential equations. The extension of fuzzy transforms for functions with two variables is presented as a first step of this task.

The method of fuzzy transforms has been introduced by I. Perfilieva as a good technique of approximate representation of continuous functions. It suits also to be applied in solution of differential equations. This fact was verified on some problems from different areas of research. A new idea of solving partial differential equations rises on. So, this method had to be extended for functions with more variables to approximate and solve partial differential equations. The extension of fuzzy transforms for functions with two variables is presented as a first step of this task.