An Ontological and Epistemological Perspective of Fuzzy Set Theory
暫譯: 模糊集合理論的本體論與認識論視角
I. Burhan Türksen
- 出版商: Morgan Kaufmann
- 出版日期: 2005-07-01
- 售價: $5,440
- 貴賓價: 9.5 折 $5,168
- 語言: 英文
- 頁數: 542
- 裝訂: Hardcover
- ISBN: 0444518916
- ISBN-13: 9780444518910
-
相關分類:
邏輯設計 Logic-design
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商品描述
Description
Fuzzy set and logic theory suggest that all natural language linguistic expressions are imprecise and must be assessed as a matter of degree. But in general membership degree is an imprecise notion which requires that Type 2 membership degrees be considered in most applications related to human decision making schemas. Even if the membership functions are restricted to be Type1, their combinations generate an interval – valued Type 2 membership. This is part of the general result that Classical equivalences breakdown in Fuzzy theory. Thus all classical formulas must be reassessed with an upper and lower expression that are generated by the breakdown of classical formulas.
Table of Contents
Preface
Table of Contents
0. Foundation
1. Introduction
2. Computing with Words
3. Measurement of Membership
4. Elicitation Methods
5. Fuzzy Clustering Methods
6. Classes of Fuzzy Set and Logic Theories
7. Equivalences in Two-Valued Logic
8. Fuzzy-Valued Set and Two-Valued Logic
9. Containment of FDCF in FCCF
10. Consequences of D(0,1), V(0,1) Theory
11. Compensatory "And"
12. Belief, Plausibility and Probability Measures on Interval-Valued Type 2 Fuzzy Sets
13. Veristic Fuzzy Sets of Truthoods
14. Approximate Reasoning
15. Interval-Valued Type 2 GMP
16. A Theoretical Application of Interval-Valued Type 2 Representation
17. A Foundation for Computing with Words: Meta-Linguistic Axioms
18. Epilogue
References
Subject Index
Author Index
商品描述(中文翻譯)
**描述**
模糊集合與邏輯理論表明,所有自然語言的語言表達都是不精確的,必須以程度來評估。但一般來說,隸屬度是一個不精確的概念,這要求在與人類決策模式相關的大多數應用中考慮類型2的隸屬度。即使隸屬函數被限制為類型1,它們的組合也會產生一個區間值的類型2隸屬度。這是模糊理論中經典等價關係失效的一部分。因此,所有經典公式必須重新評估,並生成由經典公式失效所產生的上限和下限表達。
### 目錄
前言
目錄
0. 基礎
1. 介紹
2. 用詞計算
3. 隸屬度的測量
4. 引出方法
5. 模糊聚類方法
6. 模糊集合與邏輯理論的類別
7. 二值邏輯中的等價關係
8. 模糊值集合與二值邏輯
9. FDCF 在 FCCF 中的包含
10. D(0,1)、V(0,1) 理論的後果
11. 補償性「與」
12. 區間值類型2模糊集合上的信念、合理性與概率測度
13. 真實度的驗證模糊集合
14. 近似推理
15. 區間值類型2 GMP
16. 區間值類型2表示的理論應用
17. 用詞計算的基礎:元語言公理
18. 結語
參考文獻
主題索引
作者索引