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.

Klappentext

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.

Inhalt

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.