In this paper we use the Triangular and Trapezoidal Fuzzy Numbers as assessment tools. Fuzzy Numbers play a fundamental role in fuzzy mathematics analogous to the role played by the ordinary numbers in classical mathematics. Our results are illustrated by three examples, through which the effectiveness of our new fuzzy assessment approach is validated compared to already established in earlier author's works assessment methods of the classical logic (calculation of the means, GPA index) and of the fuzzy logic (Trapezoidal Model).