Uncertainty and information: Foundations to generalized information theory

___________________________________________________________________________ The book studies “Generalized Information Theory” (GIT), being generalizations of, basically, two theories: possibility based uncertainty theory and probability based uncertainty theory. In the whole book, information has to be considered as the reduction of uncertainty, the latter to be defined. Classical possibility based uncertainty theory is the simplest and the oldest of the two theories. It measures how possible an event is (given a universe X and a subset E X Ì being the set of all possibilities) if we are in a subset A X Ì . One defines the function