Evaluating students' answerscripts based on interval-valued intuitionistic fuzzy sets

  • Authors:

  • Shyi-Ming Chen;Teng-Shun Li

  • Affiliations:

  • Department of Computer Science and Information Engineering, National Taiwan University of Science and Technology, Taipei, Taiwan, ROC;Department of Computer Science and Information Engineering, National Taiwan University of Science and Technology, Taipei, Taiwan, ROC

  • Venue:
  • Information Sciences: an International Journal
  • Year:
  • 2013

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Abstract

In this paper, we present a new method for students' answerscripts evaluation based on interval-valued intuitionistic fuzzy sets, where the fuzzy marks awarded to the answers of students' answerscripts are represented by interval-valued intuitionistic fuzzy sets. An index of optimism @l determined by an evaluator is used, where @l@?[0, 1]. The larger the value of @l, the more optimistic is the evaluator. The smaller the value of @l, the more pessimistic is the evaluator. Moreover, an index of uncertainty @b is calculated denoting the degree of uncertainty of an interval-valued intuitionistic fuzzy mark, where @b@?[0, 1]. The larger the value of @b, the more the uncertainty of an interval-valued intuitionistic fuzzy mark. We also present a generalized method for students' answerscripts evaluation using interval-valued intuitionistic fuzzy sets. The proposed method can overcome the drawbacks of the existing methods for students' answerscripts evaluation. The proposed methods can evaluate students' answerscripts in a more flexible and more intelligent manner.