Mathematical foundations of possibility theory; measure-theoretic aspects of possibility theory; logical aspects of possibility theory; possibility theory in systems science - possibilistic (or fuzzy) systems and processes, possibilistic (of fuzzy) automata; the relation between possibility and other uncertainty models such as probability, plausibility and belief functions, etc.; the relation between possibility and fuzzy sets; practical applications of possibility theory in any field, and especially in energy production, environmental science, safety and reliability. (Part Contents).