A new approach for evaluating students' answerscripts based on interval-valued 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'07 Proceedings of the 20th international conference on Industrial, engineering, and other applications of applied intelligent systems
Year:
2007

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Abstract

In this paper, we present a new approach for evaluating students' answerscripts based on the similarity measure between interval-valued fuzzy sets. The marks awarded to the answers in the students' answerscripts are represented by interval-valued fuzzy sets, where each element in the universe of discourse belonging to an interval-valued fuzzy set is represented by an interval between zero and one. An index of optimism λ determined by the evaluator is used to indicate the degree of optimism of the evaluator, where λ∈ [0, 1]. The proposed approach using interval-valued fuzzy sets for evaluating students' answerscripts can evaluate students' answerscripts in a more flexible and more intelligent manner.