American Journal of Applied Mathematics and Statistics
ISSN (Print): 2328-7306 ISSN (Online): 2328-7292 Website: http://www.sciepub.com/journal/ajams Editor-in-chief: Mohamed Seddeek
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American Journal of Applied Mathematics and Statistics. 2015, 3(4), 146-150
DOI: 10.12691/ajams-3-4-2
Open AccessArticle

Use of the Triangular Fuzzy Numbers for Student Assessment

Michael Gr. Voskoglou1,

1Department of Mathematical Sciences, School of Technological Applications, Graduate Technological Educational Institute (T. E. I.) of Western Greece, Patras, Greece

Pub. Date: July 21, 2015

Cite this paper:
Michael Gr. Voskoglou. Use of the Triangular Fuzzy Numbers for Student Assessment. American Journal of Applied Mathematics and Statistics. 2015; 3(4):146-150. doi: 10.12691/ajams-3-4-2

Abstract

The social demand not only to educate, but also to classify students according to their qualifications, makes the student assessment one of the most important components of the educational process. Fuzzy logic, due to its nature of characterizing a case with multiple values, offers rich resources for the ssessment purposes. This gave us several times in past the impulse to apply principles of fuzzy logic for assessing human skills using as tools the corresponding system’s total uncertainty, the COG defuzzification technique and recently developed variations of it. In the present paper we use the Triangular Fuzzy Numbers (TFNs) as an alternative tool for the same purpose and we compare this approach with the assessment methods of the bivalent and fuzzy logic that we have already used in earlier works. Our ambition for this paper is to be easily understood by the non expert on fuzzy logic reader and therefore the TFNs and the arithmetic operations defined on them are presented in a simple way, by giving examples and by avoiding, as much as we can, the excessive mathematical severity.

Keywords:
student assessment fuzzy logic Fuzzy Numbers triangular fuzzy numbers

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