Klir, George J.; Smith, Richard M. On measuring uncertainty and uncertainty-based information: recent developments. (English) Zbl 1314.68311 Ann. Math. Artif. Intell. 32, No. 1-4, 5-33 (2001). Summary: It is shown in this paper how the emergence of fuzzy set theory and the theory of monotone measures considerably expanded the framework for formalizing uncertainty and suggested many new types of uncertainty theories. The paper focuses on issues regarding the measurement of the amount of relevant uncertainty (predictive, prescriptive, diagnostic, etc.) in nondeterministic systems formalized in terms of the various uncertainty theories. It is explained how information produced by an action can be measured by the reduction of uncertainty produced by the action. Results regarding measures of uncertainty (and uncertainty-based information) in possibility theory, Dempster-Shafer theory, and the various theories of imprecise probabilities are surveyed. The significance of these results in developing sound methodological principles of uncertainty and uncertainty-based information is discussed. Cited in 21 Documents MSC: 68T37 Reasoning under uncertainty in the context of artificial intelligence 03E72 Theory of fuzzy sets, etc. Keywords:uncertainty; uncertainty-based information; nonspecificity; conflict; possibility theory; Dempster-Shafer theory; theories of imprecise probabilities; fuzzy sets; monotone measures; rough sets PDFBibTeX XMLCite \textit{G. J. Klir} and \textit{R. M. Smith}, Ann. Math. Artif. Intell. 32, No. 1--4, 5--33 (2001; Zbl 1314.68311) Full Text: DOI