Applied Fuzzy Arithmetic: An Introduction with Engineering Applications

by Michael Hanss

Overview

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.

Product Details

ISBN-13:	9783642063404
Publisher:	Springer Berlin Heidelberg
Publication date:	11/09/2010
Edition description:	Softcover reprint of hardcover 1st ed. 2005
Pages:	256
Product dimensions:	6.10(w) x 9.25(h) x 0.36(d)

Table of Contents

to Fuzzy Arithmetic.- The Theory of Fuzzy Sets.- Elementary Fuzzy Arithmetic.- Standard Fuzzy Arithmetic.- Advanced Fuzzy Arithmetic — The Transformation Method.- Addition to Fuzzy Arithmetic.- Applications in the Engineering Sciences.- Mechanical Engineering.- Geotechnical Engineering.- Biomedical Engineering.- Control Engineering.

Editorial 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)

From the Publisher