Title :
Evaluating Students´ Answerscripts Using Fuzzy Numbers Associated With Degrees of Confidence
Author :
Wang, Hui-Yu ; Chen, Shyi-Ming
Author_Institution :
Nat. Chengchi Univ., Taipei
fDate :
4/1/2008 12:00:00 AM
Abstract :
This paper presents a new approach for evaluating students´ answerscripts using fuzzy numbers associated with degrees of confidence of the evaluator. The satisfaction levels awarded to the questions of students´ answerscripts are represented by fuzzy numbers associated with degrees of confidence between zero and one. The arithmetic operations between the alpha-cuts of fuzzy numbers are used to evaluate the total mark of each student, where alpha isin [0,1]. The proposed method can overcome the drawbacks of the methods presented by Biswas (1994) and Chen and Lee (1999). It can evaluate students´ answerscripts in a more flexible and more intelligent manner.
Keywords :
fuzzy set theory; arithmetic operations; fuzzy numbers; students answerscripts; Degrees of confidence; fuzzy grade sheets; fuzzy numbers; generalized fuzzy grade sheets; satisfaction levels;
Journal_Title :
Fuzzy Systems, IEEE Transactions on
DOI :
10.1109/TFUZZ.2007.895958