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研究生: 李登順
Teng-shun Li
論文名稱: 根據區間直覺模糊集合以評量學生答案卷之新方法
Evaluating Students’ Answerscripts Based on Interval-Valued Intuitionistic Fuzzy Sets
指導教授: 陳錫明
Shyi-ming Chen
口試委員: 呂永和
Yung-ho Leu
李惠明
Huey-ming Lee
李立偉
Li-wei Lee
學位類別: 碩士
Master
系所名稱: 電資學院 - 資訊工程系
Department of Computer Science and Information Engineering
論文出版年: 2012
畢業學年度: 100
語文別: 英文
論文頁數: 57
中文關鍵詞: 模糊分級表直覺模糊集合區間直覺模糊集合樂觀指數不確定指數
外文關鍵詞: Fuzzy grade sheets, Intuitionistic fuzzy set, Interval-valued intuitionistic fuzzy set, Index of optimism, Index of uncertainty
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近幾年來,有一些根據模糊集合以作學生答案卷評量之方法被提出來。在本論文中,我們根據區間直覺模糊集合提出一個新的學生答案卷評量方法,我們所提的方法根據兩個指標參數來評量學生答案卷,其中一個指標參數為評量者的樂觀指數λ,其代表評量者之個性樂觀程度,如果λ值越大,則代表評量者較樂觀;另一個指標參數為不確定指數β,其代表評量者之區間直覺模糊評分的不確定程度,如果β值越大,則代表評量者評分時較不確定。我們所提出的新方法可以克服目前已存在之的學生答案卷評量方法之缺點。另外,在論文中我們亦提出一個一般化之以區間直覺模糊集合以作學生答案卷評量之方法,在本論文中所提之新方法能夠以更有彈性及更具智慧的方式以評量學生之答案卷。


In recent years, some methods have been presented for students’ answerscripts evaluation base on fuzzy sets. In this thesis, we present a new method for evaluating students’ answerscripts 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. In the proposed method, we use two parameters to evaluate students’ answerscripts, where the one is the index of optimism determined by an evaluator indicating the degree of the optimistic of the evaluator. The larger the value of , the more the optimistic of the evaluator; the other one is the index of uncertainty denoting the degree of uncertainty of an interval-valued intuitionistic fuzzy mark. The larger the value of , the more the uncertainty of an interval-valued intuitionistic fuzzy mark. The proposed method can overcome the drawbacks of the existing methods for students’ answerscripts evaluation. Moreover, we also present a generalized method for students’ answerscripts evaluation using interval-valued intuitionistic fuzzy sets. The proposed methods can evaluate students’ answerscripts in a more flexible and more intelligent manner.

Abstract in Chinese ..................................i Abstract in English ..................................ii Acknowledgements.....................................iii Contents.............................................iv List of Figures and Tables...........................vi Chapter 1 Introduction.............................1 1.1 Motivation.......................................1 1.2 Related Literature...............................1 1.3 Organization of This Thesis......................3 Chapter 2 Preliminaries............................4 2.1 Fuzzy Sets and Interval-Valued Fuzzy Sets........4 2.2 Intuitionistic Fuzzy Sets and Interval-Valued Intuitionistic fuzzy Sets............................6 2.3 Summary..........................................8 Chapter 3 A Review of Existing Methods for Students’ Answerscripts Evaluation.............................9 3.1 Biswas’s Method [5].............................9 3.2 Chen and Wang’s Method [10].....................13 3.3 Summary..........................................19 Chapter 4 New Methods for Students’ Answerscripts Evaluation Using Interval-Valued Intuitionistic Fuzzy Sets.................................................20 4.1 A New Method for Students’ Answerscripts Evaluation Using Interval-Valued Intuitionistic Fuzzy Sets......20 4.2 A Generalized Method for Students’ Answerscripts Evaluation Using Interval-Valued Intuitionistic Fuzzy Sets.................................................36 4.3 Experimental Results.............................38 Chapter 5 Conclusions..............................42 5.1 Contributions of This Thesis....................42 5.2 Future Research.................................42 References...........................................43

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