Journals Information
Universal Journal of Applied Mathematics Vol. 2(9), pp. 305 - 311
DOI: 10.13189/ujam.2014.020902
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Fuzzy Assessment Methods
Igor Ya. Subbotin 1,*, Michael Gr. Voskoglou 2
1 Department of Mathematics and Natural Sciences, College of Letters and Sciences, National University, USA
2 Department of Mathematical Sciences, School of Technological Applications, Graduate Technological Educational Institute (T. E. I.) of Western Greece, Greece
ABSTRACT
Fuzzy logic due to its nature of characterizing each case with multiple values offers is a rich field of resources covering the assessment of situations characterized by a degree of fuzziness and/or uncertainty. In this paper, we present two different fuzzy assessment models: The Centre of Gravity (COG) model and Trapezoidal Fuzzy Assessment Model (TRFAM). The last one is a new model covering the ambiguous cases being at the boundaries between two successive assessment intervals. An application (students' assessment) is also presented, through which the above methods are compared to each other and also with two traditional assessment methods based on principles of bivalent logic (the calculation of means and of the GPA index). Some useful conclusions are drawn about the characteristics of the above fuzzy assessment models.
KEYWORDS
GPA Index, Fuzzy Sets, Centre of Gravity (COG) Defuzzification Technique, Trapezoidal Fuzzy Assessment Model (TRFAM)
Cite This Paper in IEEE or APA Citation Styles
(a). IEEE Format:
[1] Igor Ya. Subbotin , Michael Gr. Voskoglou , "Fuzzy Assessment Methods," Universal Journal of Applied Mathematics, Vol. 2, No. 9, pp. 305 - 311, 2014. DOI: 10.13189/ujam.2014.020902.
(b). APA Format:
Igor Ya. Subbotin , Michael Gr. Voskoglou (2014). Fuzzy Assessment Methods. Universal Journal of Applied Mathematics, 2(9), 305 - 311. DOI: 10.13189/ujam.2014.020902.