Sentence examples for fuzzy equation from inspiring English sources

We consider the fuzzy equation (3.40).

Consider the fuzzy equation (1.6) for (3.61).

Using (3.41) and (3.44) we have that zero is a solution of the fuzzy equation (3.40).

Therefore, from (3.45) is a solution of the fuzzy equation (3.40).

Consider the fuzzy equation (3.61) where is a fuzzy number such that (3.68).

Based on these definitions, direct computation of fuzzy inverse matrix is done using fuzzy arithmetic and fuzzy equation system.

Nieto and Rodríguez-López in [8, 10] used Tarski's theorem to show the existence of solutions for fuzzy equations and fuzzy differential equations, respectively.

In [6, 8], Nieto and Rodríguez-López used Tarski's theorem to show the existence of solutions for fuzzy equations and fuzzy differential equations, respectively.

Tarski's theorem is used in [25] to show the existence of solutions for fuzzy equations and in [27] to prove existence theorems for fuzzy differential equations.

In 2005, the well-known Tarski theorem [4] was used in [5] to study the existence of solutions for fuzzy equations and to prove existence theorems for fuzzy differential equations.

The method has been applied to initial boundary value problems [4 9], fractal initial value problems [10, 11], q-difference equations [12] and fuzzy equations [13 15], etc.