Whys and Hows in Uncertainty Modelling

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.

Inhalt

How to Utilize the Anti-Optimization Analysis to Treat Uncertainty in Seismic Excitation? (A. Baratta, G. Zuccaro).- What are the Random and Fuzzy Sets and How to Use them for Uncertainty Modelling in Engineering Systems? (A. Bernardini).- What is Ellipsoidal Modelling and How to Use it for Control and State Estimation? (F. L. Chernousko).- What is Differential Stochastic Calculus? (M. Di Paola).- Are Probabilistic and Anti-Optimization Approaches Compatible? (I. Elishakoff).- How to Develop and Utilize Numerical Algorithms with Automatic Result Verification? (U. Kulisch).