|
验证会员
- 帖子
- 67
- 精华
- 15
- 积分
- 1
- 书币
- 554 枚
- 注册时间
- 07-4-13
- 最后登录
- 08-2-22
|
1#
大 中
小 发表于 07-4-13 15:02 只看该作者
Uncertainty and Information：Foundations of Generalized Information Theory
Uncertainty and Information：Foundations of Generalized Information Theory, Wiley Pub. |  | 收藏 | | | 作者 | George J. Klir | | ＩＳＢＮ | 0-471-74867-6 | | 出版日期/版本 | 2006 | | 格式 | ＰＤＦ Adobe Acrobat |
主题内容 | | The principal aim of this book is to provide the reader with a comprehensive
and in-depth overview of the two-dimensional framework by which the
research in GIT has been guided, and to present the main results that have been
obtained by this research. Also covered are the main features of two classical
information theories.One of them, covered in Chapter 3, is based on the concept
of probability.This classical theory is well known and is extensively covered in
the literature. The other one, covered in Chapter 2, is based on the dual
concepts of possibility and necessity. This classical theory is older and more
fundamental, but it is considerably less visible and has often been incorrectly
dismissed in the literature as a special case of the probability-based information
theory. These two classical information theories, which are formally
incomparable, are the roots from which distinct generalizations are
obtained.
Principal results regarding generalized uncertainty theories that are based
on classical set theory are covered in Chapters 4–6.While the focus in Chapter
4 is on the common properties of uncertainty representation in all these theories,
Chapter 5 is concerned with special properties of individual uncertainty
theories.The issue of how to measure the amount of uncertainty (and the associated
information) in situations formalized in the various uncertainty theories
is thoroughly investigated in Chapter 6. Chapter 7 presents a concise
introduction to the fundamentals of fuzzy set theory, and the fuzzification of
uncertainty theories is discussed in Chapter 8, in both general and specific
terms. Methodological issues associated with GIT are discussed in Chapter 9.
Finally, results and open problems emerging from GIT are summarized and
assessed in Chapter 10.
The book can be used in several ways and, due to the universal applicability
of GIT, it is relevant to professionals in virtually any area of human affairs.
While it is written primarily as a textbook for a one-semester graduate course,
its utility extends beyond the classroom environment. Due to the comprehensive
and coherent presentation of the subject and coverage of some previously
unpublished results, the book is also a useful resource for researchers.
Although the treatment of uncertainty and information in the book is mathematical,
the required mathematical background is rather modest: the reader
is only required to be familiar with the fundamentals of classical set theory,
probability theory and the calculus. Otherwise, the book is completely selfcontained,
and it is thus suitable for self-study.
While working on the book, clarity of presentation was always on my mind.
To achieve it, I use examples and visual illustrations copiously. Each chapter
is also accompanied by an adequate number of exercises, which allow readers
to test their understanding of the studied material.The main text is only rarely
interrupted by bibliographical, historical, or any other references. Almost all
references are covered in specific Notes, organized by individual topics and
located at the end of each chapter.These notes contain ample information for
further study.
For many years, I have been pursuing research on GIT while, at the same
time, teaching an advanced graduate course in this area to systems science students
at Binghamton University in New York State (SUNY-Binghamton).Due
to rapid developments in GIT, I have had to change the content of the course
each year to cover the emerging new results. This book is based, at least to
some degree, on the class notes that have evolved for this course over the
years. Some parts of the book, especially in Chapters 6 and 9, are based on my
own research.
It is my hope that this book will establish a better understanding of the very
complex concepts of information-based uncertainty and uncertainty-based
information, and that it will stimulate further research and education in the
important and rapidly growing area of generalized information theory. |
附件: 您的会员级别暂时无法下载附件，请注册成为会员或者提升论坛权限，相关信息请参考新手指南！
|
