Evaluating students answerscripts based on interval-valued intuitionistic fuzzy sets
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 ? determined by an evaluator is used, where ??[0, 1]. The larger the value of ?, the more optimistic is the evaluator. The smaller the value of ?, the more pessimistic is the evaluator. Moreover, an index of uncertainty ? is calculated denoting the degree of uncertainty of an interval-valued intuitionistic fuzzy mark, where ??[0, 1]. The larger the value of ?, 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.
interval-valued intuitionistic fuzzy set intuitionistic fuzzy set answerscripts evaluation education grading system fuzzy grade sheet generalized fuzzy grade sheet