Uncertain Rule-Based Fuzzy Logic Systems: Introduction and New Directions
暫譯: 不確定規則基模糊邏輯系統:導論與新方向
Jerry M. Mendel
- 出版商: Prentice Hall
- 出版日期: 2001-01-01
- 售價: $1,064
- 語言: 英文
- 頁數: 576
- 裝訂: Paperback
- ISBN: 0130409693
- ISBN-13: 9780130409690
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商品描述
- Type-2 fuzzy logic: Breakthrough techniques for modeling uncertainty
- Key applications: digital mobile communications, computer networking, and video traffic classification
- Detailed case studies: Forecasting time series and knowledge mining
- Contains 90+ worked examples, 110+ figures, and brief introductory primers on fuzzy logic and fuzzy sets
Breakthrough fuzzy logic techniques for handling real-world uncertainty.
The world is full of uncertainty that classical fuzzy logic can't model. Now, however, there's an approach to fuzzy logic that can model uncertainty: "type-2" fuzzy logic. In this book, the developer of type-2 fuzzy logic demonstrates how it overcomes the limitations of classical fuzzy logic, enabling a wide range of applications from digital mobile communications to knowledge mining. Dr. Jerry Mendel presents a bottom-up approach that begins by introducing traditional "type-1" fuzzy logic, explains how it can be modified to handle uncertainty, and, finally, adds layers of complexity to handle increasingly sophisticated applications. Coverage includes:
- The sources of uncertainty and the role of membership functions
- Type-2 fuzzy sets: operations, properties, and centroids
- Singleton, non-singleton, and TSK Type 2 fuzzy logic systems
- Comparing "type-2" and "type 1" results
- Extensive applications coverage: digital mobile communications, computer networking, and video traffic classification
- Two start-to-finish case studies: Forecasting time series and knowledge mining
Carefully balanced between theory and design, the book contains over 90 worked examples and more than 110 figures. It is ideal for engineers, scientists, computer science researchers, and mathematicians interested in AI, rule-based systems, and modeling uncertainty. Since it contains brief introductory primers on fuzzy logic and fuzzy sets, it's accessible to virtually anyone with an undergraduate B.S. degree—including computing professionals designing and implementing rule-based systems.
SOFTWARE RESOURCES
Online software includes more than 30 companion MATLAB m-files for implementing a wide variety of type-1 and type-2 fuzzy logic systems
Table of Contents
I: PRELIMINARIES.
3. Membership Functions and Uncertainty.
4. Case Studies.
6. Non-Singleton Type-1 Fuzzy Logic Systems.
III: TYPE-2 FUZZY SETS.
7. Operations on and Properties of Type-2 Fuzzy Sets.
8. Type-2 Relations
and Compositions.
9. Centroid of a Type-2 Fuzzy Set: Type-Reduction.
IV: TYPE-2 FUZZY LOGIC SYSTEMS.
10. Singleton Type-2 Fuzzy Logic Systems.
11. Type-1 Non-Singleton Type-2
Fuzzy Logic Systems.
12. Type-2 Non-Singleton Type-2 Fuzzy Logic Systems.
13. TSK Fuzzy Logic Systems.
14. Epilogue.
A. Join,
Meet, and Negation Operations For Non-Interval Type-2 Fuzzy Sets.
B.
Properties of Type-1 and Type-2 Fuzzy Sets.
C. Computation.
References.
Index.
商品描述(中文翻譯)
- 類型-2 模糊邏輯:處理不確定性的突破性技術
- 主要應用:數位行動通信、計算機網絡和視頻流量分類
- 詳細案例研究:時間序列預測和知識挖掘
- 包含90多個實例、110多幅圖形,以及模糊邏輯和模糊集合的簡要入門介紹
突破性的模糊邏輯技術,用於處理現實世界的不確定性。
世界充滿了古典模糊邏輯無法建模的不確定性。然而,現在有一種可以建模不確定性的模糊邏輯方法:'類型-2' 模糊邏輯。在本書中,類型-2 模糊邏輯的開發者展示了它如何克服古典模糊邏輯的限制,使其能夠應用於從數位行動通信到知識挖掘的廣泛應用。Jerry Mendel 博士提出了一種自下而上的方法,首先介紹傳統的 '類型-1' 模糊邏輯,解釋如何修改它以處理不確定性,最後增加複雜性以處理日益精緻的應用。內容包括:
- 不確定性的來源和隸屬函數的角色
- 類型-2 模糊集合:運算、性質和重心
- 單點、非單點和 TSK 類型-2 模糊邏輯系統
- 比較 '類型-2' 和 '類型-1' 的結果
- 廣泛的應用涵蓋:數位行動通信、計算機網絡和視頻流量分類
- 兩個從頭到尾的案例研究:時間序列預測和知識挖掘
本書在理論和設計之間仔細平衡,包含90多個實例和110多幅圖形。它非常適合對人工智慧、基於規則的系統和不確定性建模感興趣的工程師、科學家、計算機科學研究人員和數學家。由於它包含模糊邏輯和模糊集合的簡要入門介紹,因此幾乎任何擁有本科學位的人都能輕鬆理解,包括設計和實施基於規則系統的計算專業人士。
軟體資源
線上軟體包括30多個伴隨的 MATLAB m-files,用於實現各種類型-1 和類型-2 模糊邏輯系統
目錄
I: 前言
1. 介紹
2. 不確定性的來源
3. 隸屬函數和不確定性
4. 案例研究
II: 類型-1 模糊邏輯系統
5. 單點類型-1 模糊邏輯系統:無不確定性
6. 非單點類型-1 模糊邏輯系統
III: 類型-2 模糊集合
7. 類型-2 模糊集合的運算和性質
8. 類型-2 關係和組合
9. 類型-2 模糊集合的重心:類型縮減
IV: 類型-2 模糊邏輯系統
10. 單點類型-2 模糊邏輯系統
11. 類型-1 非單點類型-2 模糊邏輯系統
12. 類型-2 非單點類型-2 模糊邏輯系統
13. TSK 模糊邏輯系統
14. 結語
A. 非區間類型-2 模糊集合的聯接、交會和否定運算
B. 類型-1 和類型-2 模糊集合的性質
C. 計算
參考文獻
索引