Fuzzy Models for Learning Assessment

The concept of learning is fundamental for the study of human cognitive action. In the current paper a Trapezoidal Fuzzy Assessment Model (TFAM) is developed for learning assessment. The TRAMF is a new variation of a special form of the commonly used in Fuzzy Mathematics Center of Gravity (COD) defuzzification technique that we have applied in earlier papers as an assessment method in various human activities. The TFAM’s new idea is the replacement of the rectangles appearing in the graph of the COG method by isosceles trapezoids sharing common parts, thus covering the ambiguous cases of students’ scores being at the limits between two successive grades (e.g. between A and B). A classroom application is also presented in which the outcomes of the COG and TRAFM methods are compared with those of other traditional assessment methods (calculation of means and GPA index) and explanations are provided for the differences appeared among these outcomes.