  In recent years, descriptive evaluation has been introduced as a new model
for educational evaluation of Iranian students. The current descriptive
evaluation method is based on four-valued logic. Assessing all students with
only four values is led to a lack of relative justice and the creation of
unrealistic equality. Also, the complexity of the evaluation process in the
current method increases teacher errors likelihood. As a suitable solution, in
this paper, a fuzzy descriptive evaluation system has been proposed. The
proposed method is based on fuzzy logic, which is an infinite-valued logic and
it can perform approximate reasoning on natural language propositions. By the
proposed fuzzy system, student assessment is performed over the school year
with infinite values instead of four values. But to eliminate the diversity of
assigned values to students, at the end of the school year, the calculated
values for each student will be rounded to the nearest value of the four
standard values of the current descriptive evaluation system. It can be
implemented easily in an appropriate smartphone app, which makes it much easier
for the teachers to evaluate the evaluation process. In this paper, the
evaluation process of the elementary third-grade mathematics course in Iran
during the period from the beginning of the MEHR (The Seventh month of Iran) to
the end of BAHMAN (The Eleventh Month of Iran) is examined by the proposed
system. To evaluate the validity of this system, the proposed method has been
simulated in MATLAB software.
