Overview
First book that provides both theory and real world applications of fuzzy arithmetic in a comprehensive style
Readable for and aiming at students and researchers in mechanical engineering, geotechnical engineering, biomedical engineering, or control engineering
Includes supplementary material: sn.pub/extras
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Table of contents (9 chapters)
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Applications in the Engineering Sciences
Keywords
About this book
Applied Fuzzy Arithmetic 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 a resource for students, researchers, and practical engineers. The first part of the book gives an introduction to the theory of fuzzy arithmetic, which aims to present the subject in a well-organized and comprehensible form. The derivation of fuzzy arithmetic from the original fuzzy set theory and its evolution towards a successful implementation is presented with existing formulations of fuzzy arithmetic included and integrated in the overall context. The second part of the book presents a diversified exposition of the application of fuzzy arithmetic, addressing different areas of the engineering sciences, such as mechanical, geotechnical, biomedical, and control engineering.
Reviews
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)
Authors and Affiliations
Bibliographic Information
Book Title: Applied Fuzzy Arithmetic
Book Subtitle: An Introduction with Engineering Applications
Authors: Michael Hanss
DOI: https://doi.org/10.1007/b138914
Publisher: Springer Berlin, Heidelberg
eBook Packages: Engineering, Engineering (R0)
Copyright Information: Springer-Verlag Berlin Heidelberg 2005
Hardcover ISBN: 978-3-540-24201-7Published: 11 February 2005
Softcover ISBN: 978-3-642-06340-4Published: 14 October 2010
eBook ISBN: 978-3-540-27317-2Published: 27 December 2005
Edition Number: 1
Number of Pages: XIII, 256
Topics: Mathematical and Computational Engineering, Electrical Engineering, Artificial Intelligence, Mechanical Engineering, Control, Robotics, Mechatronics, Biomedical Engineering and Bioengineering