Skip to main content

Intuitionistic Fuzzy Evaluations for the Analysis of a Student’s Knowledge in University e-Learning Courses

  • Chapter
  • First Online:
Intuitionistic Fuzziness and Other Intelligent Theories and Their Applications

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.

This is a preview of subscription content, log in via an institution to check access.

Access this chapter

Subscribe and save

Springer+ Basic
$34.99 /Month
  • Get 10 units per month
  • Download Article/Chapter or eBook
  • 1 Unit = 1 Article or 1 Chapter
  • Cancel anytime
Subscribe now

Buy Now

Chapter
USD 29.95
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
USD 99.00
Price excludes VAT (USA)
  • Available as EPUB and PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD 129.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info
Hardcover Book
USD 129.99
Price excludes VAT (USA)
  • Durable hardcover edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Purchases are for personal use only

Institutional subscriptions

Similar content being viewed by others

References

  1. Atanassov, K., Generalized Nets. World Scientific, 1991.

    Google Scholar 

  2. Atanassov, K., On Generalized Nets Theory. Prof. M. Drinov Academic Publishing House, Sofia, 2007.

    Google Scholar 

  3. Atanassov, K., Intuitionistic Fuzzy Sets, Springer Physica-Verlag, Berlin, 1999.

    Google Scholar 

  4. Atanassov, K., Intuitionistic fuzzy sets. Fuzzy Sets and Systems, Vol. 20, 1986, 87–96.

    Google Scholar 

  5. 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.

    Google Scholar 

  6. 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.

    Google Scholar 

  7. 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.

    Google Scholar 

  8. 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.

    Google Scholar 

  9. 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.

    Google Scholar 

  10. 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.

    Google Scholar 

  11. 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.

    Google Scholar 

  12. 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.

    Google Scholar 

  13. 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.

    Google Scholar 

  14. 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.

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to Evdokia Sotirova .

Editor information

Editors and Affiliations

Rights and permissions

Reprints and permissions

Copyright information

© 2019 Springer International Publishing AG, part of Springer Nature

About this chapter

Check for updates. Verify currency and authenticity via CrossMark

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

Publish with us

Policies and ethics