Introducing a new evaluation model using fuzzy and gray uncertainty approaches in the educational system

Document Type : Original Article

Authors

1 Teacher

2 Mathematics ِDepartment, University of Payam e Noor, Tehran, Iran

Abstract

Proper assessment of the learner in the educational system is one of the most important challenges facing all professors and teachers. Due to the ambiguity in some criteria or answering the questions, we will always face uncertainty in the evaluations. Therefore, in this article, two important issues in the results of the evaluation of the educational system in competitive exams when there is uncertainty for acceptance or selection based on academic record. Our proposal for problem solving is an approach based on soft computing techniques. Usually in exams, a answer sheet is evaluated based on the assignment of a score of one. Here, the main purpose of evaluation is the answer instructions from different perspectives of decision makers.From fuzzy sets to model the qualitative characteristics of questions and identify the problem of coefficient of educational importance of each academic year in different courses, by educational decision makers and from gray numbers to obtain the results of evaluating the learner's answer sheet and ranking them using methods Several gray criteria have been used. The use of a combination of different approaches to dealing with uncertainty that can cover the weakness of each approach is one of the future research of the authors.

Keywords

References

[1] Bai, S.-M., Chen, S.-M. (2008a). Automatically constructing grade membership functions of fuzzy rules for students’ evaluation. Expert Systems with Applications, 353, 1408–1414.
 
[2] Bai, S.-M., Chen, S.-M. (2008b). Evaluating students’ learning achievement using fuzzy membership functions and fuzzy rules. Expert Systems with Applications, 34, 399–410.
 
[3] Biswas, R. (1995). An application of fuzzy sets in students’ evaluation. Fuzzy Sets and Systems, 742, 187–194.
 
[4] Chen, S. M., Lee, C. H. (1999). New methods for students’ evaluating using fuzzy sets. Fuzzy Sets and Systems, 1042, 209–218.
 
[5] Echauz, J. R., Vachtsevanos, G. J. (1995). Fuzzy grading system. IEEE Transactions on Education, 382, 158–165.
 
[6] Law, C. K. (1996). Using fuzzy numbers in education grading system. Fuzzy Sets and Systems, 833, 311–323.
 
[7] Ma, J., Zhou, D. (2000). Fuzzy set approach to the assessment of student-centered learning. IEEE Transactions on Education, 43(2), 237–241
 
 [8] Wang, H. Y., Chen, S. M. (2008). Evaluating students’ answerscripts using fuzzy numbers associated with degrees of confidence. IEEE Transactions on Fuzzy Systems, 162, 403–415.
 
[9] Weon, S., Kim, J. (2001). Learning achievement evaluation strategy using fuzzy membership function. In Proceedings of the 31st ASEE/IEEE frontiers in education conference, Reno, NV (Vol. 1, pp. 19–24).
 
[10] Ju-Long, D. (1982). Control Problems of Grey Systems. Systems Control Letters, 15, 288-294.
 
[11] Julong, D. (1989). Introduction to Grey System Theory. The Journal of Grey System, 11, 1-24.
 
[12] Huang, S . J ., C hiu, N . H ., Chen, L . W . ( 2008). I ntegration of the Grey Relational Analysis with Genetic Algorithm for Software Effort Estimation. European Journal of Operational Research, 1883, 898-909.
 
[13] Wei, G . ( 2011). G rey Relational Analysis Model for Dynamic Hybrid Multiple Attribute Decision Making. Knowledge-Based Systems, 245, 672- 679.
 
[14] Ertugrul-I, Oztas-T, Ozcil-A.(2016). Grey Relational Analysis Approach In Academic Performance Comparison Of University -( European Scientific),1857-7881.
 
[15] Xiaoying-Z, Xiuying -Y, Jing- Y(2021). Teaching Evaluation Algorithm Based on Grey Relational Analysis,5596518,9.
 
 [16] Annabestani –M , Rowhanimanesh –A , Mizani- A Rezaei- A(2019). Descriptive evaluation of students using fuzzy approximate reasoning.
Fuzzy Systems and its Applications
Volume 5, Issue 2 - Serial Number 11
January 2023
Pages 181-201

Files

History

  • Receive Date: 25 May 2022
  • Revise Date: 15 August 2022
  • Accept Date: 23 September 2022

Share

How to cite

Statistics