1Department of Mathematical Sciences, School of Technological Applications, Graduate Technological Educational Institute (T. E. I.) of Western Greece, Patras, Greece
American Journal of Applied Mathematics and Statistics.
2015,
Vol. 3 No. 5, 206-210
DOI: 10.12691/ajams-3-5-5
Copyright © 2015 Science and Education PublishingCite this paper: Michael Gr. Voskoglou. Defuzzification of Fuzzy Numbers for Student Assessment.
American Journal of Applied Mathematics and Statistics. 2015; 3(5):206-210. doi: 10.12691/ajams-3-5-5.
Correspondence to: Michael Gr. Voskoglou, Department of Mathematical Sciences, School of Technological Applications, Graduate Technological Educational Institute (T. E. I.) of Western Greece, Patras, Greece. Email:
mvosk@hol.grAbstract
In an earlier work, recently published in this journal, 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 two 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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