Fuzzy operator

Abstract EN

In this paper, we introduce an algebra of special kind of fuzzy numbers( which we call it finite level fuzzy numbers) and also we introduce three kinds of fuzzy functions [4].

The integral and differential of fuzzy function was defined in the literature [4,5], but we generalize these concepts (fuzzy integral and fuzzy differential) by constructing the functional of fuzzy function.

Using Zadeh's extension principle, the operator of fuzzy function is defined.

Fuzzy Laplace transform is considered as a fuzzy operator, and the problem of linearity is addressed.

Finally, we show that the convolution theorem can be extended in fuzzy theory.