Abstract
In the paper is proposed a method for evaluation of 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 and interval valued 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 and for all units.
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References
Atanassov, K.: Generalized Nets. World Scientific (1991)
Atanassov, K.: Intuitionistic Fuzzy Sets. Springer, Heidelberg (1999)
Atanassov, K.: On Intuitionistic Fuzzy Sets Theory. Springer, Berlin (2012)
Atanassov, K.: Intuitionistic fuzzy logics as tools for evaluation of data mining processes. Knowl. Based Syst. 80, 122–130 (2015)
Kensington-Miller, J. Novak, T. Evans. Just do it: flipped lecture, determinants and debate. Int. J. Math. Educ. Sci. Technol. 47(6), 853–862 (2016)
Melo-Pinto, P., Kim, T., Atanassov, K., Sotirova, E., Shannon, A., Krawczak, M.: Generalized net model of e-learning evaluation with intuitionistic fuzzy estimations. In: Issues in the Representation and Processing of Uncertain and Imprecise Information, Warszawa, pp. 241–249 (2005)
Kim, T., Sotirova, E., Shannon, A., Atanassova, V., Atanassov, Kr., Jang, L.-C.: Interval Valued intuitionistic fuzzy evaluations for analysis of a student’s knowledge in university e-learning courses. Int. J. Fuzzy Logic Intell. Syst. 18(3), 190–195
Shannon, A., Langova-Orozova, D., Sotirova, E., Petrounias, I., Atanassov, K., Krawczak, M., Melo-Pinto, P., Kim, T.: Generalized Net Modelling of University Processes. KvB Visual Concepts Pty Ltd., Sydney (2005)
Shannon, A., Atanassov, K., Sotirova, E., Langova-Orozova, D., Krawczak, M., Melo-Pinto, P., Petrounias, I., Kim, T.: Generalized Nets and Information Flow Within a University, Warszawa (2007)
Shannon, A., Sotirova, E., Petrounias, I., Atanassov, K., Krawczak, M., Melo-Pinto, P., Kim, T.: Intuitionistic fuzzy estimations of lecturers’ evaluation of student work. In: First International Workshop on Intuitionistic Fuzzy Sets, Generalized Nets & Knowledge Engineering, University of Westminster, London, pp. 44–47, 6–7 Sept 2006
Shannon, A., Sotirova, E., Petrounias, I., Atanassov, K., Krawczak, M., Melo-Pinto, P., Kim, T.: Generalized net model of lecturers’ evaluation of student work with intuitionistic fuzzy estimations. In: Second International Workshop on Intuitionistic Fuzzy Sets. Notes on IFS, Banska Bystrica, Slovakia, vol. 12(4), pp. 22–28, 3 Dec 2006
Shannon, A., Sotirova, E., Atanassov, K., Krawczak, M., Melo-Pinto, P., Kim, T.: Generalized net model for the reliability and standardization of assessments of student problem solving with intuitionistic fuzzy estimations. In: Developments in Fuzzy Sets, Generalized Nets and Related Topics. Applications, vol. 2, pp. 249–256. System Research Institute, Polish Academy of Science (2008)
Shannon, A., Dimitrakiev, D., Sotirova, E., Krawczak, M., Kim, T.: Towards a model of the digital university: generalized net model of a lecturer’s evaluation with intuitionistic fuzzy estimations. Cybern. Inform. Technol. 9(2), 69–78 (2009)
Shannon, A., Sotirova, E., Hristova, M., Kim, T.: Generalized net model of a student’s course evaluation with intuitionistic fuzzy estimations in a digital university, vol. 13(1), pp. 31–38. In: Proceedings of the Jangjeon Mathematical Society (2010)
Sotirova, E., Atanassov, K., Shannon, A., Kim, T., Krawczak, M., Melo-Pinto, P., Riečan, B.: Intuitionistic fuzzy evaluations for analysis of a student’s knowledge of mathematics in the university e-learning courses. In: IEEE 8th International Conference on Intelligent Systems, pp. 535–537 (2016)
Sotirova, E., Shannon, A., Kim, T., Krawczak, M., Melo-Pinto, P., Riečan, B.: Intuitionistic fuzzy evaluations for the analysis of a student’s knowledge in university e-learning courses. In: Studies in Computational Intelligence, vol. 757, pp. 95–100 (2018)
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This work was supported by the Bulgarian Ministry of Education and Science under the National Research Programme “Information and Communication Technologies for a Digital Single Market in Science, Education and Security” approved by DCM # 577/17.08.2018.
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Sotirova, E., Shannon, A., Atanassova, V., Atanassov, K., Bureva, V. (2020). Interval Valued Intuitionistic Fuzzy Evaluations for Analysis of Students’ Knowledge. In: Castillo, O., Melin, P., Kacprzyk, J. (eds) Intuitionistic and Type-2 Fuzzy Logic Enhancements in Neural and Optimization Algorithms: Theory and Applications. Studies in Computational Intelligence, vol 862. Springer, Cham. https://doi.org/10.1007/978-3-030-35445-9_6
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