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題名 Artificial Intelligence Approach to Evaluate Students` Answerscripts Based on the Similarity Measure between Vague Sets
作者 Wang, Hui-Yu;Chen, Shyi-Ming
貢獻者 教育學系
關鍵詞 Similarity functions; Students’ answerscripts; Vague grade sheets; Vague membership values; Vague sets; Index of optimism
日期 2007
上傳時間 24-Mar-2015 16:33:57 (UTC+8)
摘要 In this paper, we present two new methods for evaluating students` answerscripts based on the similarity measure between vague sets. The vague marks awarded to the answers in the students` answerscripts are represented by vague sets, where each element u[subscript i] in the universe of discourse U belonging to a vague set is represented by a vague value. The grade of membership of u[subscript i] in the vague set A is bounded by a subinterval [t[subscript A](u[subscript i]), 1 - f[subscript A] (u[subscript i])] of [0, 1]. It indicates that the exact grade of membership [mu][subscript A](u[subscript i]) of u[subscript i] belonging the vague set A is bounded by t[subscript A](u[subscript i]) [less than or equal to] [mu][subscript A](u[subscript i]) [less than or equal to] 1 - f[subscript A](u[subscript i]), where t[subscript A](u[subscript i]) is a lower bound of the grade of membership of u[subscript i] derived from the evidence for u[subscript i], f[subscript A](u[subscript i]) is a lower bound of the negation of u[subscript i] derived from the evidence against u[subscript i], t[subscript A](u[subscript i]) + f[subscript A](u[subscript i]) [less than or equal to] 1, and u[subscript i][is an element of] U. An index of optimism [lambda] determined by the evaluator is used to indicate the degree of optimism of the evaluator, where [lambda] [is an element of] [0, 1]. Because the proposed methods use vague sets to evaluate students` answerscripts rather than fuzzy sets, they can evaluate students` answerscripts in a more flexible and more intelligent manner. Especially, they are particularly useful when the assessment involves subjective evaluation. The proposed methods can evaluate students` answerscripts more stable than Biswas`s methods (1995). (Contains 10 tables and 3 figures.)
關聯 Educational Technology & Society, 10(4), 224-241
資料類型 article
dc.contributor 教育學系
dc.creator (作者) Wang, Hui-Yu;Chen, Shyi-Ming
dc.date (日期) 2007
dc.date.accessioned 24-Mar-2015 16:33:57 (UTC+8)-
dc.date.available 24-Mar-2015 16:33:57 (UTC+8)-
dc.date.issued (上傳時間) 24-Mar-2015 16:33:57 (UTC+8)-
dc.identifier.uri (URI) http://nccur.lib.nccu.edu.tw/handle/140.119/73979-
dc.description.abstract (摘要) In this paper, we present two new methods for evaluating students` answerscripts based on the similarity measure between vague sets. The vague marks awarded to the answers in the students` answerscripts are represented by vague sets, where each element u[subscript i] in the universe of discourse U belonging to a vague set is represented by a vague value. The grade of membership of u[subscript i] in the vague set A is bounded by a subinterval [t[subscript A](u[subscript i]), 1 - f[subscript A] (u[subscript i])] of [0, 1]. It indicates that the exact grade of membership [mu][subscript A](u[subscript i]) of u[subscript i] belonging the vague set A is bounded by t[subscript A](u[subscript i]) [less than or equal to] [mu][subscript A](u[subscript i]) [less than or equal to] 1 - f[subscript A](u[subscript i]), where t[subscript A](u[subscript i]) is a lower bound of the grade of membership of u[subscript i] derived from the evidence for u[subscript i], f[subscript A](u[subscript i]) is a lower bound of the negation of u[subscript i] derived from the evidence against u[subscript i], t[subscript A](u[subscript i]) + f[subscript A](u[subscript i]) [less than or equal to] 1, and u[subscript i][is an element of] U. An index of optimism [lambda] determined by the evaluator is used to indicate the degree of optimism of the evaluator, where [lambda] [is an element of] [0, 1]. Because the proposed methods use vague sets to evaluate students` answerscripts rather than fuzzy sets, they can evaluate students` answerscripts in a more flexible and more intelligent manner. Especially, they are particularly useful when the assessment involves subjective evaluation. The proposed methods can evaluate students` answerscripts more stable than Biswas`s methods (1995). (Contains 10 tables and 3 figures.)
dc.format.extent 401343 bytes-
dc.format.mimetype application/pdf-
dc.relation (關聯) Educational Technology & Society, 10(4), 224-241
dc.subject (關鍵詞) Similarity functions; Students’ answerscripts; Vague grade sheets; Vague membership values; Vague sets; Index of optimism
dc.title (題名) Artificial Intelligence Approach to Evaluate Students` Answerscripts Based on the Similarity Measure between Vague Sets
dc.type (資料類型) articleen