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.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.