模糊集合论及其应用(第4版) [Fuzzy Set Theory and Its Applications Fourth Edition]

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发表于2024-11-22

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图书介绍

出版社: 世界图书出版公司
ISBN:9787510035081
版次:4
商品编码:10914280
包装:平装
外文名称:Fuzzy Set Theory and Its Applications Fourth Edition
开本:24开
出版时间:2011-06-01
用纸:胶版纸
页数:514
正文语种:英文


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内容简介

Since its inception 20 years ago, the theory of fuzzy sets has advanced in a variety of ways and in many disciplines. Applications of this theory can be found, for example, in artificial intelligence, computer science, control engineering, deci-sion theory, expert systems, logic, management science, operations research,pattern recognition, and robotics. Theoretical advances have been made in many directions. In fact it is extremely difficult for a newcomer to the field or for some-body who wants to apply fuzzy set theory to his problems to recognize properly the present "state of the art." Therefore, many applications use fuzzy set theory on a much more elementary level than appropriate and necessary. On the other hand, theoretical publications are already so specialized and assume such a back-ground in fuzzy set theory that they are hard to understand. The more than 4,000 publications that exist in the field are widely scattered over many areas and in many journals. Existing books are edited volumes containing specialized contri-butions or monographs that focus only on specific areas of fuzzy sets, such as pattern recognition [Bezdek 1981], switching functions [Kandel and Lee 1979],or decision making [Kickert 1978]. Even the excellent survey book by Dubois and Prade [1980a] is primarly intended as a research compendium for insiders rather than an introduction to fuzzy set theory or a textbook. This lack of a com-prehensive and modern text is particularly recognized by newcomers to the field and bv those who want to teach fuzzy set theory and its applications.

内页插图

目录

List of Figures
List of Tables
Foreword
Preface
Preface to the Fourth Edition
Introduction to Fuzzy Sets
Crispness, Vagueness, Fuzziness, Uncertainty

Fuzzy Set Theory
Fuzzy Mathematics
Fuzzy Sets-Basic Definitions
Basic Definitions
Basic Set-Theoretic Operations for Fuzzy Sets

Extensions
Types of Fuzzy Sets
Further Operations on Fuzzy Sets
Algebraic Operations
Set-Theoretic Operations
Criteria for Selecting Appropriate Aggregation Operators

Fuzzy Measures and Measures of Fuzziness
Fuzzy Measures
Measures of Fuzziness

The Extension Principle and Applications
The Extension Principle
Operations for Type 2 Fuzzy Sets
Algebraic Operations with Fuzzy Numbers
Special Extended Operations
Extended Operations for LR-Representation of Fuzzy Sets

Fuzzy Relations and Fuzzy Graphs
Fuzzy Relations on Sets and Fuzzy Sets
Compositions of Fuzzy Relations
Properties of the Min-Max Composition

Fuzzy Graphs
Special Fuzzy Relations
Fuzzy Analysis
Fuzzy Functions on Fuzzy Sets
Extrema of Fuzzy Functions
Integration of Fuzzy Functions
Integration of a Fuzzy Function over a Crisp Interval
Integration of a (Crisp) Real-Valued Function over a Fuzzy
Interval
Fuzzy Differentiation

Uncertainty Modeling
Application-oriented Modeling of Uncertainty
Causes of Uncertainty
Type of Available Information
Uncertainty Methods
Uncertainty Theories as Transformers of Information
Matching Uncertainty Theory and Uncertain Phenomena
Possibility Theory
Fuzzy Sets and Possibility Distributions
Possibility and Necessity Measures
Probability of Fuzzy Events
Probability of a Fuzzy Event as a Scalar
Probability of a Fuzzy Event as a Fuzzy Set
Possibility vs. Probability

Applications of Fuzzy Set Theory
Fuzzy Logic and Approximate Reasoning
Linguistic Variables
Fuzzy Logic
Classical Logics Revisited
Linguistic Truth "rabies
Approximate and Plausible Reasoning
Fuzzy Languages
Support Logic Programming and Fril
Introduction
Fril Rules
Inference Methods in Fril
FrU Inference for a Single Rule
Multiple Rule Case
Interval and Point Semantic Unification
Least Prejudiced Distribution and Learning
Applications of Fril

Fuzzy Sets and Expert Systems
Fuzzy Control
Fuzzy Data Bases and Queries
Fuzzy Data Analysis
Decision Making In Fuzzy Environments
Applications of Fuzzy Sets in Engineering and Management
Empirical Research in Fuzzy Set Theory
Future Perspectives

精彩书摘

situation and is meant to be a mapping of a problem, a system, or a process. In contrast to a scientific theory, containing scientific laws as hypotheses, a model normally does not assert invariance with respect to time and space but requires modifications whenever the specific context for which the model was constructed changes.
In the following, we will concentrate on models rather than on theories. Real-izing that there is quite a variety of types of models, we do not think that it is important and necessary for our purposes to distinguish models by their language (mathematics or logic is considered to be a modeling language), by area, by problem type, by size, and so on. One classification, however, seems to be impor-tant: the distinction of models by their character. Scientific theories were already divided into formal theories and factual theories.
……

前言/序言



模糊集合论及其应用(第4版) [Fuzzy Set Theory and Its Applications Fourth Edition] 下载 mobi epub pdf txt 电子书 格式

模糊集合论及其应用(第4版) [Fuzzy Set Theory and Its Applications Fourth Edition] mobi 下载 pdf 下载 pub 下载 txt 电子书 下载 2024

模糊集合论及其应用(第4版) [Fuzzy Set Theory and Its Applications Fourth Edition] 下载 mobi pdf epub txt 电子书 格式 2024

模糊集合论及其应用(第4版) [Fuzzy Set Theory and Its Applications Fourth Edition] 下载 mobi epub pdf 电子书
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用户评价

评分

不错不错不错不错不错不错不错不错

评分

很喜欢,模糊集理论介绍的比较全面

评分

包装挺好,书不错。

评分

很喜欢,模糊集理论介绍的比较全面

评分

6666666666666666666666666666666

评分

通俗易懂,就是英文的,读起来有点慢

评分

东西不错,希望一直好用。

评分

其次,模糊性是精确性的对立面,但不能消极地理解模糊性代表的是落后的生产力,恰恰相反,我们在处理客观事物时,经常借助于模糊性。例如,在一个有许多人的房间里,找一位“年老的高个子男人”,这是不难办到的。这里所说的“年老”、“高个子”都是模糊概念,然而我们只要将这些模糊概念经过头脑的分析判断,很快就可以在人群中找到此人。如果我们要求用计算机查询,那么就要把所有人的年龄,身高的具体数据输入计算机,然后我们才可以从人群中找这样的人。

评分

开学买的教材,趁京东打折时买的,很划算

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