Fuzzy Logic Representation for Student Modelling

Case Study on Geometry
  • Gagan Goel
  • Sébastien Lallé
  • Vanda Luengo
Part of the Lecture Notes in Computer Science book series (LNCS, volume 7315)

Abstract

Our aim is to develop a Fuzzy Logic based student model which removes the arbitrary specification of precise numbers and facilitates the modelling at a higher level of abstraction. Fuzzy Logic involves the use of natural language in the form of If-Then statements to demonstrate knowledge of domain experts and hence generates decisions and facilitates human reasoning based on imprecise information coming from the student-computer interaction. Our case study is in geometry. In this paper, we propose a fuzzy logic representation for student modelling and compare it with the Additive Factor Model (AFM) algorithm implemented on DataShop. Two rule-based fuzzy inference systems have been developed that ultimately predict the degree of error a student makes in the next attempt to the problem. Results indicate the rule-based systems achieve levels of accuracy matching that of the AFM algorithm.

Keywords

Student model fuzzy inference system rule-base 

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Copyright information

© Springer-Verlag Berlin Heidelberg 2012

Authors and Affiliations

  • Gagan Goel
    • 1
  • Sébastien Lallé
    • 2
  • Vanda Luengo
    • 2
  1. 1.Electronics and Communication Engineering DepartmentNational Institute of Technology (NIT)HamirpurIndia
  2. 2.Laboratoire Informatique de Grenoble (LIG METAH)Université Joseph FourierGrenoble Cedex 9France

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