A new approach for evaluating students` answerscripts based on interval-valued fuzzy sets

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 λε [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. © Springer-Verlag Berlin Heidelberg 2007.