New methods for evaluating the answerscripts of students using fuzzy sets

Authors:
Hui-Yu Wang;Shyi-Ming Chen
Affiliations:
Department of Education, National Chengchi University, Taipei, Taiwan, R.O.C.;Department of Computer Science and Information Engineering, National Taiwan University of Science and Technology, Taipei, Taiwan, R.O.C.
Venue:
IEA/AIE'06 Proceedings of the 19th international conference on Advances in Applied Artificial Intelligence: industrial, Engineering and Other Applications of Applied Intelligent Systems
Year:
2006

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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.