AN APPLICATION OF FUZZY NUMBERS TO THE ASSESSMENT OF MATHEMATICAL MODELLING SKILLS

International Journal of Mathematical Modelling & Computations

مقاله 7، دوره 6، 1 (WINTER)، فروردین 2016، صفحه 83-103   

نویسندگان

Michael Gr. Voskoglou؛ Igor Ya. Subbotin

Graduate T.E.I. of Western Greece Professor Emeritus of Mathematical Sciences School of Technological Applications

چکیده

In this paper we use the Triangular and Trapezoidal Fuzzy Numbers as tools for assessing student Mathematical Modelling (MM) skills. Fuzzy Numbers play a fundamental role in fuzzy mathematics analogous to the role played by the ordinary numbers in classical mathematics, On the other hand, MM appears today as a dynamic tool for teaching and learning mathematics, because it connects mathematics with our everyday life giving the possibility to students to understand its usefulness in practice thus increasing their interest about mathematics. Therefore the subject of the present paper appears to be of great interest. Our results are illustrated by three examkples, through which the effectiveness of our new fuzzy assessment approach is validated compared to already established by the present authors in earlier works assessment methods of the classical (calculation of the means, GPA index) and the fuzzy logic (Trapezoidal Model).

کلیدواژه‌ها

Mathematical Modelling؛ Trapezoidal Fuzzy Assessment Model؛ fuzzy numbers

مراجع

Klir, J. G. and Folger, T. A., Fuzzy Sets, Uncertainty and Information, , Prentice-Hall, London, 1988