Applied Fuzzy Arithmetic: An Introduction with Engineering Applications / Edition 1

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Overview

First book that provides both theory and real world applications of fuzzy arithmetic in a comprehensive style.

Provides a well-structured compendium that offers both a deeper knowledge about the theory of fuzzy arithmetic and an extensive view on its applications in the engineering sciences making it useful for graduate courses, researchers and engineers.

Presents the basic definitions and fundamental principles of fuzzy arithmetic, derived from fuzzy set theory.

Summarizes the state-of-the-art stage of fuzzy arithmetic, offers a comprehensive composition of different approaches including their benefits and drawbacks, and finally, and presents a completely new methodology of implementation of fuzzy arithmetic with particular emphasis on its subsequent application to real-world systems.

Concentrates on the application of fuzzy arithmetic to the simulation, analysis and identification of systems with uncertain model parameters, as they appear in various disciplines of engineering science.

Focuses on mechanical engineering, geotechnical engineering, biomedical engineering, and control engineering.

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Editorial Reviews

From the Publisher
From the reviews:

"The book is an extensive, systematic and lucidly written treatise on the subject of fuzzy numbers, their processing, and applications. … Overall, the book brings a comprehensive and timely material on the important topic of processing fuzzy numbers and thus offers an interesting insight into the applied aspects of fuzzy sets." (Witold Pedrycz, Zentralblatt MATH, Vol. 1085, 2006)

"This book deals with the application of fuzzy set theory to mechanical engineering. … the presence of detailed accounts of such applications is a very important feature of this book, likely to attract the interest of mechanical or civil engineers and to bring these methods to their research areas. … is a noticeable step toward a mature processing of fuzzy intervals, namely, a better understanding of how to correctly handle them and what to do with them in practice." (Didier Dubois, SIAM Review, Vol. 49 (3), 2007)

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Product Details

  • ISBN-13: 9783540242017
  • Publisher: Springer Berlin Heidelberg
  • Publication date: 4/15/2005
  • Edition description: 2005
  • Edition number: 1
  • Pages: 256
  • Product dimensions: 6.36 (w) x 9.54 (h) x 0.79 (d)

Table of Contents

Part 1 Introduction to Fuzzy Arithmetic: The Theory of Fuzzy Sets; Elementary Fuzzy Arithmetic; Standard Fuzzy Arithmetic; Advanced Fuzzy Arithmetic; The Transformation Method; Additions to Fuzzy Arithmetic.- Part 2 Applications in the Engineering Sciences: Mechanical Engineering; Geotechnical Engineering; Biomedical Engineering; Control Engineering.

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