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This book consists of selected papers written by the founder of
fuzzy set theory, Lotfi A Zadeh. Since Zadeh is not only the
founder of this field, but has also been the principal contributor
to its development over the last 30 years, the papers contain
virtually all the major ideas in fuzzy set theory, fuzzy logic, and
fuzzy systems in their historical context. Many of the ideas
presented in the papers are still open to further development. The
book is thus an important resource for anyone interested in the
areas of fuzzy set theory, fuzzy logic, and fuzzy systems, as well
as their applications. Moreover, the book is also intended to play
a useful role in higher education, as a rich source of
supplementary reading in relevant courses and seminars.The book
contains a bibliography of all papers published by Zadeh in the
period 1949-1995. It also contains an introduction that traces the
development of Zadeh's ideas pertaining to fuzzy sets, fuzzy logic,
and fuzzy systems via his papers. The ideas range from his 1965
seminal idea of the concept of a fuzzy set to ideas reflecting his
current interest in computing with words — a computing in which
linguistic expressions are used in place of numbers.Places in the
papers, where each idea is presented can easily be found by the
reader via the Subject Index.
This book consists of selected papers written by the founder of
fuzzy set theory, Lotfi A Zadeh. Since Zadeh is not only the
founder of this field, but has also been the principal contributor
to its development over the last 30 years, the papers contain
virtually all the major ideas in fuzzy set theory, fuzzy logic, and
fuzzy systems in their historical context. Many of the ideas
presented in the papers are still open to further development. The
book is thus an important resource for anyone interested in the
areas of fuzzy set theory, fuzzy logic, and fuzzy systems, as well
as their applications. Moreover, the book is also intended to play
a useful role in higher education, as a rich source of
supplementary reading in relevant courses and seminars.The book
contains a bibliography of all papers published by Zadeh in the
period 1949-1995. It also contains an introduction that traces the
development of Zadeh's ideas pertaining to fuzzy sets, fuzzy logic,
and fuzzy systems via his papers. The ideas range from his 1965
seminal idea of the concept of a fuzzy set to ideas reflecting his
current interest in computing with words — a computing in which
linguistic expressions are used in place of numbers.Places in the
papers, where each idea is presented can easily be found by the
reader via the Subject Index.
This book is divided into fourteen chapters, with 18 appendices as
introduction to prerequisite topological and algebraic knowledge,
etc. The first seven chapters focus on local analysis. This part
can be used as a fundamental textbook for graduate students of
theoretical physics. Chapters 8-10 discuss geometry on fibre
bundles, which facilitates further reference for researchers. The
last four chapters deal with the Atiyah-Singer index theorem, its
generalization and its application, quantum anomaly, cohomology
field theory and noncommutative geometry, giving the reader a
glimpse of the frontier of current research in theoretical physics.
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