Applied Fuzzy Arithmetic: An Introduction with Engineering Applications

✍ Scribed by Priv.-Doz. Dr.-Ing. habil. Michael Hanss (auth.)

• Publisher: Springer-Verlag Berlin Heidelberg
• Year: 2005
• Tongue: English
• Leaves: 260
• Edition: 1
• Category: Library

✦ Synopsis

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.

✦ Table of Contents

The Theory of Fuzzy Sets....Pages 3-44
Elementary Fuzzy Arithmetic....Pages 45-78
Standard Fuzzy Arithmetic....Pages 79-97
Advanced Fuzzy Arithmetic — The Transformation Method....Pages 99-126
Addition to Fuzzy Arithmetic....Pages 127-145
Mechanical Engineering....Pages 147-191
Geotechnical Engineering....Pages 193-215
Biomedical Engineering....Pages 217-230
Control Engineering....Pages 231-244

✦ Subjects

Appl.Mathematics/Computational Methods of Engineering; Artificial Intelligence (incl. Robotics); Mechanical Engineering; Control Engineering; Biomedical Engineering; Applications of Mathematics