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

摘要

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 λ determined by an evaluator is used, where λ ∈ [0, 1]. The larger the value of λ, the more optimistic is the evaluator. The smaller the value of λ, the more pessimistic is the evaluator. Moreover, an index of uncertainty β is calculated denoting the degree of uncertainty of an interval-valued intuitionistic fuzzy mark, where β ∈ [0, 1]. The larger the value of β, 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.