Abstract
In this paper, we present new methods for evaluating the answerscripts of students, where the evaluating values are represented by fuzzy numbers, and an optimism index λ determined by the evaluator is used to indicate the degree of optimism of the evaluator for evaluating the answerscripts of students, where the value of λ is between zero and one. The universe of discourse is formed by a set of satisfaction levels. The fuzzy mark awarded to the answer of each question of the answerscript of a student is represented by a type-2 fuzzy set. The proposed methods can overcome the drawbacks of the existing methods. It can evaluate the answerscripts of students in a more flexible and more intelligent manner.
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References
Biswas, R.: An Application of Fuzzy Sets in Students Evaluation. Fuzzy Sets and Systems 74, 187–194 (1995)
Chang, D.F., Sun, C.M.: Fuzzy Assessment of Learning Performance of Junior High School Students. In: Proceedings of the 1993 First National Symposium on Fuzzy Theory and Applications, Hsinchu, Taiwan, Republic of China, pp. 10–15 (1993)
Chen, S.M.: A New Approach to Handling Fuzzy Decision making Problems. IEEE Transactions on Systems, Man, and Cybernetics 18, 1012–1016 (1988)
Chen, S.M.: Evaluating the Rate of Aggregative Risk in Software Development Using Fuzzy Set Theory. Cybernetics and Systems: An International Journal 30, 57–75 (1999)
Chen, S.M., Lee, C.H.: New Methods for Students Evaluating Using Fuzzy Sets. Fuzzy Sets and Systems 104, 209–218 (1999)
Chen, S.M., Wang, J.Y.: Document Retrieval Using Knowledge-Based Fuzzy Information Retrieval Techniques. IEEE Transactions on Systems, Man, and Cybernetics 25, 793–803 (1995)
Cheng, C.H., Yang, K.L.: Using Fuzzy Sets in Education Grading System. Journal of Chinese Fuzzy Systems Association 4, 81–89 (1998)
Chiang, T.T., Lin, C.M.: Application of Fuzzy Theory to Teaching Assessment. In: Proceedings of the 1994 Second National Conference on Fuzzy Theory and Applications, Taipei, Taiwan, Republic of China, pp. 92–97 (1994)
Frair, L.: Student Peer Evaluations Using the Analytic Hierarchy Process Method. In: Proceedings of 1995 Frontiers in Education Conference, vol. 2, pp. 4c3.1–4c3.5 (1995)
Echauz, J.R., Vachtsevanos, G.J.: Fuzzy Grading System. IEEE Transactions on Education 38, 158–165 (1995)
Kaburlasos, V.G., Marinagi, C.C., Tsoukalas, V.T.: PARES: A Software Tool for Computer-Based Testing and Evaluation Used in the Greek Higher Education System. In: Proceedings of the 2004 IEEE International Conference on Advanced Learning Technologies, pp. 771–773 (2004)
Kaufmann, A., Gupta, M.M.: Fuzzy Mathematical Models in Engineering and Management Science. North-Holland, Amsterdam (1988)
Law, C.K.: Using Fuzzy Numbers in Education Grading System. Fuzzy Sets and Systems 83, 311–323 (1996)
Ma, J., Zhou, D.: Fuzzy Set Approach to the Assessment of Student-Centered Learning. IEEE Transactions on Education 43, 237–241 (2000)
McMartin, F., Mckenna, A., Youssefi, K.: Scenario Assignments as Assessment Tools for Undergraduate Engineering Education. IEEE Transactions on Education 43, 111–119 (2000)
Pears, A., Daniels, M., Berglund, A., Erickson, C.: Student Evaluation in An International Collaborative Project Course. In: Proceedings of the 2001 Symposium on Applications and the Internet Workshops, pp. 74–79 (2001)
Wu, M.H.: A Research on Applying Fuzzy Set Theory and Item Response Theory to Evaluate Learning Performance, Master Thesis, Department of Information Management, Chaoyang University of Technology, Wufeng, Taichung County, Republic of China (2003)
Xingui, H.: Weighted Fuzzy Logic and Its Applications. In: Proceedings of the 12th Annual International Computer Software and Applications Conference, Chicago, Illinois, pp. 485–489 (1988)
Zadeh, L.A.: Fuzzy Sets. Information and Control 8, 338–353 (1965)
Zimmermann, H.-J.: Fuzzy Set Theory and Its Applications. Kluwer-Nijhoff, Dordrecht (1991)
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Wang, HY., Chen, SM. (2006). New Methods for Evaluating the Answerscripts of Students Using Fuzzy Sets. In: Ali, M., Dapoigny, R. (eds) Advances in Applied Artificial Intelligence. IEA/AIE 2006. Lecture Notes in Computer Science(), vol 4031. Springer, Berlin, Heidelberg. https://doi.org/10.1007/11779568_48
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DOI: https://doi.org/10.1007/11779568_48
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-540-35453-6
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