Applied fuzzy arithmetic : an introduction with engineering applications /

Hanss (Universitat Stuttgart) has written a nice treatment of the mathematical foundations of fuzzy arithmetic and the theory of fuzzy sets, including several applications in various areas of engineering. The book is divided into two parts. The first begins with an introduction to set theory (classical and fuzzy), followed by an introduction to fuzzy arithmetic. Topics include fuzzy numbers, fuzzy vectors, arithmetical operations, the transformation method, defuzzification, and measure. The second discusses applications from mechanical, geotechnical and biomedical engineering, and control theory; these include analysis of structural joint connections, frequency response of a clamped plate, engine hood vibrations, contaminant flow, hydraulic conductivities in porous media, human glucose metabolism, and an invert double pendulum. The book is well written--indeed, enjoyable to read--with 142 references. No exercises. ^BSumming Up: Highly recommended. Upper-division undergraduates through professionals. J. D. Fehribach Worcester Polytechnic Institute