This paper presents a new method for evaluating students' answerscripts based on interval-valued intuitionistic fuzzy sets. The fuzzy marks awarded to the answers of students' answerscripts are represented by interval-valued intuitionistic fuzzy sets. An index of optimism A determined by an evaluator is used, where A E [0, I]. An index of uncertainty f3 is calculated denoting the degree of uncertainty of an interval-valued intuitionistic fuzzy mark, where f3 E [0, I]. 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.