Abstract
In the paper is proposed a method for evaluation of the student’s knowledge obtained in the university e-learning courses. For the assessment of the student’s solution of the respective assessment units the theory of intuitionistic fuzzy sets is used. The obtained intuitionistic fuzzy estimations reflect the degree of each student’s good performances, or poor performances, for each assessment unit. We also consider a degree of uncertainty that represents such cases where the student is currently unable to solve the problem. The method presented here provides the possibility for the algorithmization of the process of forming the student’s evaluations.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Similar content being viewed by others
References
Atanassov, K., Generalized Nets. World Scientific, 1991.
Atanassov, K., On Generalized Nets Theory. Prof. M. Drinov Academic Publishing House, Sofia, 2007.
Atanassov, K., Intuitionistic Fuzzy Sets, Springer Physica-Verlag, Berlin, 1999.
Atanassov, K., Intuitionistic fuzzy sets. Fuzzy Sets and Systems, Vol. 20, 1986, 87–96.
Kensington-Miller, J. Novak, T. Evans, Just do it: flipped lecture, determinants and debate. International Journal of Mathematical Education in Science and Technology, 47 (2016), No.6, 853–862.
Melo-Pinto, P., T. Kim, K. Atanassov, E. Sotirova, A. Shannon and M. Krawczak, Generalized net model of e-learning evaluation with intuitionistic fuzzy estimations, Issues in the Representation and Processing of Uncertain and Imprecise Information, Warszawa, 2005, 241–249.
Shannon, A., D. Langova-Orozova, E. Sotirova, I. Petrounias, K. Atanassov, M. Krawczak, P. Melo-Pinto, T. Kim, Generalized Net Modelling of University Processes. KvB Visual Concepts Pty Ltd, Monograph No. 7, Sydney, 2005.
Shannon, A., K. Atanassov, E. Sotirova, D. Langova-Orozova, M. Krawczak, P. Melo-Pinto, I. Petrounias, T. Kim, Generalized Nets and Information Flow Within a University, Warszawa, 2007.
Shannon, A., E. Sotirova, I. Petrounias, K. Atanassov, M. Krawczak, P. Melo-Pinto, T. Kim, Intuitionistic fuzzy estimations of lecturers’ evaluation of student work, First International Workshop on Intuitionistic Fuzzy Sets, Generalized Nets and Knowledge Engineering, University of Westminster, London, 6–7 September 2006, 44–47.
Shannon, A., E. Sotirova, I. Petrounias, K. Atanassov, M. Krawczak, P. Melo-Pinto, T. Kim, Generalized net model of lecturers’ evaluation of student work with intuitionistic fuzzy estimations, Second International Workshop on Intuitionistic Fuzzy Sets, Banska Bystrica, Slovakia, 3 December 2006, Notes on IFS, Vol. 12, 2006, No. 4, 22–28.
Shannon, A., E. Sotirova, K. Atanassov, M. Krawczak, P. Melo-Pinto, T. Kim, Generalized Net Model for the Reliability and Standardization of Assessments of Student Problеm Solving with Intuitionistic Fuzzy Estimations, Developments in Fuzzy Sets, Generalized Nets and Related Topics. Applications. Vol. 2, System Research Institute, Polish Academy of Science, 2008, 249–256.
Shannon, A., D. Dimitrakiev, E. Sotirova, M. Krawczak, T. Kim, Towards a Model of the Digital University: Generalized Net Model of a Lecturer’s Evaluation with Intuitionistic Fuzzy Estimations, Cybernetics and Information Technologies, Bulgarian Academy of Sciences, Vol. 9, 2009 No 2, 69–78.
Shannon, A., E. Sotirova, M. Hristova, T. Kim, Generalized Net Model of a Student’s Course Evaluation with Intuitionistic Fuzzy Estimations in a Digital University, Proceedings of the Jangjeon Mathematical Society, 13 (2010), No 1, 31–38.
Sotirova, E., K, Atanassov, A. Shannon, M. Krawczak, Melo-Pinto, B. Riečan, T. Kim, Intuitionistic Fuzzy Evaluations for Analysis of a Student’s Knowledge of mathematics in the University e-Learning Courses, 2016 IEEE 8th International Conference on Intelligent Systems, 535–537.
Author information
Authors and Affiliations
Corresponding author
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 2019 Springer International Publishing AG, part of Springer Nature
About this chapter
Cite this chapter
Sotirova, E., Shannon, A., Kim, T., Krawczak, M., Melo-Pinto, P., Riečan, B. (2019). Intuitionistic Fuzzy Evaluations for the Analysis of a Student’s Knowledge in University e-Learning Courses. In: Hadjiski, M., Atanassov, K. (eds) Intuitionistic Fuzziness and Other Intelligent Theories and Their Applications. Studies in Computational Intelligence, vol 757. Springer, Cham. https://doi.org/10.1007/978-3-319-78931-6_6
Download citation
DOI: https://doi.org/10.1007/978-3-319-78931-6_6
Published:
Publisher Name: Springer, Cham
Print ISBN: 978-3-319-78930-9
Online ISBN: 978-3-319-78931-6
eBook Packages: Intelligent Technologies and RoboticsIntelligent Technologies and Robotics (R0)