Whys and Hows in Uncertainty Modelling: Probability, Fuzziness and Anti-Optimization (CISM International Centre for Mechanical Sciences, 388)

This book presents, as a single package, three semingly contradictory and often competitive approaches to deal with ever present uncertainty in science and engineering. The book describes, as a unique view, probabilistic, fuzzy sets based and antioptimization based approaches, in order to remedy the present "tower ob Babel” situation, in which researchers in competing fields do not communicate. Integrative approach will attract scientists and engineers alike and provide a strong impetus towards integrative, hybrid approaches. Front Matter....Pages ii-viii How to Utilize the Anti-Optimization Analysis to Treat Uncertainty in Seismic Excitation?....Pages 1-61 What are the Random and Fuzzy Sets and How to Use Them for Uncertainty Modelling in Engineering Systems?....Pages 63-125 What is Ellipsoidal Modelling and How to Use It for Control and State Estimation?....Pages 127-188 What is Differential Stochastic Calculus?....Pages 189-262 Are Probabilistic and Anti-Optimization Approaches Compatible?....Pages 263-355 How to Develop and Utilize Numerical Algorithms with Automatic Result Verification?....Pages 357-393