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

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VOSKOGLOU MICHAEL GR.; SUBBOTIN IGOR YA.

مرکز اطلاعات علمی Scientific Information Database (SID) - Trusted Source for Research and Academic Resources

Journal Paper

Paper Information

Journal: INTERNATIONAL JOURNAL OF MATHEMATICAL MODELLING & COMPUTATION Year:2016 | Volume:6 | Issue:1 Page(s): 83-103

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Title

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

Author(s)

VOSKOGLOU MICHAEL GR. | SUBBOTIN IGOR YA. | Issue Writer Certificate

Keywords

MATHEMATICAL MODELLING (MM)

GPA INDEX

FUZZY ASSESSMENT METHODS

TRAPEZOIDAL FUZZY ASSESSMENT MODEL (TPFAM)

FUZZY NUMBERS (FNS)

TRIANGULAR FUZZY NUMBERS (TFNS)

TRAPEZOIDAL FUZZY NUMBERS (TPFNS)

Abstract

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 examples, 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).

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APA: Copy

VOSKOGLOU, MICHAEL GR., & SUBBOTIN, IGOR YA.. (2016). AN APPLICATION OF FUZZY NUMBERS TO THE ASSESSMENT OF MATHEMATICAL MODELLING SKILLS. INTERNATIONAL JOURNAL OF MATHEMATICAL MODELLING & COMPUTATION, 6(1), 83-103. SID. https://sid.ir/paper/328336/en

Vancouver: Copy

VOSKOGLOU MICHAEL GR., SUBBOTIN IGOR YA.. AN APPLICATION OF FUZZY NUMBERS TO THE ASSESSMENT OF MATHEMATICAL MODELLING SKILLS. INTERNATIONAL JOURNAL OF MATHEMATICAL MODELLING & COMPUTATION[Internet]. 2016;6(1):83-103. Available from: https://sid.ir/paper/328336/en

IEEE: Copy

MICHAEL GR. VOSKOGLOU, and IGOR YA. SUBBOTIN, “AN APPLICATION OF FUZZY NUMBERS TO THE ASSESSMENT OF MATHEMATICAL MODELLING SKILLS,” INTERNATIONAL JOURNAL OF MATHEMATICAL MODELLING & COMPUTATION, vol. 6, no. 1, pp. 83–103, 2016, [Online]. Available: https://sid.ir/paper/328336/en

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