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研究生: 毛安彬
ABDUL - MUNIF
論文名稱: 根據具有不同左高度及右高度之一般化模糊數排序法以作模糊風險之新方法
Fuzzy Risk Analysis Based on Ranking Generalized Fuzzy Numbers with Different Left Heights and Right Heights
指導教授: 陳錫明
Shyi-Ming Chen
口試委員: 李惠明
Hui-Ming Li
呂永和
Yong-He Lu
萬瑛東
Ying-Dong Wan
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: 2011
畢業學年度: 97
語文別: 英文
論文頁數: 61
中文關鍵詞: Right heightsRanking scoresRanking orderFuzzy risk analysisGeneralized fuzzy numbersLeft heights
外文關鍵詞: Left heights, Generalized fuzzy numbers, Fuzzy risk analysis, Ranking order, Ranking scores, Right heights
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  • In this thesis, we present a new method for fuzzy risk analysis based on ranking generalized fuzzy numbers with different left heights and right heights. First, we present a method for ranking generalized fuzzy numbers with different left heights and right heights. The proposed method considers the areas of the positive side, the areas of the negative side and the centroid values of generalized fuzzy numbers as the factors for calculating the ranking scores of generalized fuzzy numbers with different left heights and right heights. It can overcome the drawbacks of the existing fuzzy ranking methods. Based on the proposed fuzzy ranking method of generalized fuzzy numbers with different left heights and right heights, we propose a new method for dealing with fuzzy risk analysis problems. The proposed fuzzy risk analysis method provides us with a useful way to deal with fuzzy risk analysis problems based on generalized fuzzy numbers with different left heights and right heights.


    In this thesis, we present a new method for fuzzy risk analysis based on ranking generalized fuzzy numbers with different left heights and right heights. First, we present a method for ranking generalized fuzzy numbers with different left heights and right heights. The proposed method considers the areas of the positive side, the areas of the negative side and the centroid values of generalized fuzzy numbers as the factors for calculating the ranking scores of generalized fuzzy numbers with different left heights and right heights. It can overcome the drawbacks of the existing fuzzy ranking methods. Based on the proposed fuzzy ranking method of generalized fuzzy numbers with different left heights and right heights, we propose a new method for dealing with fuzzy risk analysis problems. The proposed fuzzy risk analysis method provides us with a useful way to deal with fuzzy risk analysis problems based on generalized fuzzy numbers with different left heights and right heights.

    CONTENTS Abstract ...... . i Acknowledgment ii Contents …..... iii List of Figures v List of Tables vi Chapter 1 Introduction 1 1.1 Motivation 1 1.2 Organization of This Thesis 2 Chapter 2 Preliminaries 3 2.1 Fuzzy Set Theory 3 2.2 Generalized Fuzzy Numbers, Fuzzy Numbers with Different Left Heights and Right Heights, and Their Arithmetic Operations 5 2.3 Some Existing Methods for Ranking Generalized Fuzzy Numbers 8 2.3.1 Yager’s Method 8 2.3.2 Murakami et al.’s Method 9 2.3.3 Chen’s Method 9 2.3.4 Cheng’s Method 9 2.3.5 Chu and Tsao’s Method 10 2.3.6 Chen and Chen’s Method 11 2.3.7 Chen and Chen’s Method 12 2.3.8 Chen and Chen’s Method 13 2.3.9 Chen and Sanguansat’s Method 14 2.4 Summary 16 Chapter 3 A New Method for Ranking Generalized Fuzzy Numbers with Different Left Heights and Right Heights 17 3.1 A New Method for Ranking Generalized Fuzzy Numbers 17 3.2 A Comparison of the Proposed Ranking Method with the Existing Methods 36 3.3 Summary 42 Chapter 4 Fuzzy Risk Analysis Based on the Proposed Fuzzy Ranking Method 43 4.1 A New Fuzzy Risk Analysis Algorithm Based on the Proposed Ranking Fuzzy Number 43 4.2 A Numerical Example 45 4.3 Summary 56 Chapter 5 Conclusions 57 5.1 Contributions of This Thesis 57 5.2 Future Research 57 References 59

    References
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