Use of the Triangular Fuzzy Numbers for Student Assessment
July 12, 2015 Β· Declared Dead Β· π arXiv.org
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Authors
Michael Voskoglou
arXiv ID
1507.03257
Category
cs.AI: Artificial Intelligence
Citations
27
Venue
arXiv.org
Last Checked
4 months ago
Abstract
In an earlier work we have used the Triangular Fuzzy Numbers (TFNs)as an assessment tool of student skills.This approach led to an approximate linguistic characterization of the students' overall performance, but it was not proved to be sufficient in all cases for comparing the performance of two different student groups, since tywo TFNs are not always comparable. In the present paper we complete the above fuzzy assessment approach by presenting a defuzzification method of TFNS based on the Center of Gravity (COG) technique, which enables the required comparison. In addition we extend our results by using the Trapezoidal Fuzzy Numbers (TpFNs) too, which are a generalization of the TFNs, for student assessment and we present suitable examples illustrating our new results in practice.
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