Generalized information theory for hints

Generalized information theory for hints

This paper develops a new uncertainty measure for the theory of hints that complies with the established semantics of statistical information theory and further satisfies all classical requirements for such a measure imposed in the literature. The proposed functional decomposes into conversant uncertainty measures and therefore discloses a new interpretation of the latters as well. By abstracti...

Information theory and generalized statistics

In this lecture we present a discussion of generalized statistics based on Rényi’s, Fisher’s and Tsallis’s measures of information. The unifying conceptual framework which we employ here is provided by information theory. Important applications of generalized statistics to systems with (multi–)fractal structure are examined.

An Update on Generalized Information Theory

The purpose of this paper is to survey recent developments and trends in the area of generalized information theory (GIT) and to discuss some of the issues of current interest in GIT regarding the measurement of uncertaintybased information for imprecise probabilities on finite crisp sets.

Generalized Information Theory for Engineering Modeling and Simulation

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 b...