%0 Journal Article
%T Fuzzy Logic as a Tool for Assessing Students¡¯ Knowledge and Skills
%A Michael Gr. Voskoglou
%J Education Sciences
%D 2013
%I MDPI AG
%R 10.3390/educsci3020208
%X Fuzzy logic, which is based on fuzzy sets theory introduced by Zadeh in 1965, provides a rich and meaningful addition to standard logic. The applications which may be generated from or adapted to fuzzy logic are wide-ranging and provide the opportunity for modeling under conditions which are imprecisely defined. In this article we develop a fuzzy model for assessing student groups¡¯ knowledge and skills. In this model the students¡¯ characteristics under assessment (knowledge of the subject matter, problem solving skills and analogical reasoning abilities) are represented as fuzzy subsets of a set of linguistic labels characterizing their performance, and the possibilities of all student profiles are calculated. In this way, a detailed quantitative/qualitative study of the students¡¯ group performance is obtained. The centroid method and the group¡¯s total possibilistic uncertainty are used as defuzzification methods in converting our fuzzy outputs to a crisp number. According to the centroid method, the coordinates of the center of gravity of the graph of the membership function involved provide a measure of the students¡¯ performance. Techniques of assessing the individual students¡¯ abilities are also studied and examples are presented to illustrate the use of our results in practice.
%K fuzzy sets
%K fuzzy logic
%K defuzzification
%K students¡¯ assessment
%U http://www.mdpi.com/2227-7102/3/2/208