Evaluating students' answerscripts based on interval-valued fuzzy grade sheets

  • Authors:
  • Shyi-Ming Chen;Hui-Yu Wang

  • Affiliations:
  • Department of Computer Science and Information Engineering, National Taiwan University of Science and Technology, Taipei, Taiwan, ROC and Department of Computer Science and Information Engineering ...;Department of Education, National Chengchi University, Taipei, Taiwan, ROC

  • Venue:
  • Expert Systems with Applications: An International Journal
  • Year:
  • 2009

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Abstract

In this paper, we propose two new methods for evaluating students' answerscripts based on interval-valued fuzzy grade sheets. The marks awarded to the answers in the students' answerscripts are represented by interval-valued fuzzy sets. Each element in the universe of discourse belonging to an interval-valued fuzzy set is represented by an interval between zero and one. The degree of similarity between an interval-valued fuzzy mark and a standard interval-valued fuzzy set is calculated by a similarity function. An index of optimism @l determined by the evaluator is used to indicate the degree of optimism of the evaluator, where @l@?[0,1]. The experimental results show that the proposed methods are more stable than Biswas's method for students' answerscripts evaluation. They can evaluate students' answerscripts in a more flexible and more intelligent manner.