Uncertainty and Information Measures for Imprecise Probabilities: An Overview

The paper deals with basic issues regarding the measurement of relevant types of uncertainty and uncertainty-based information in theories that represent imprecise probabilities of various types. Existing results and encountered difficulties regarding these issues, primarily in evidence theory and possibility theory, are presented. Some important open questions and unexplored areas of research in this domain are also discussed. Keywords. Imprecise probabilities, uncertainty measures, uncertainty-based information, evidence theory, possibility theory, Hartley-like measure, Shannon-like measure 1 Uncertainty and Uncertainty-Based Information The concepts of uncertainty and information, as understood in this paper, are intimately connected. Uncertainty involved in any problem-solving situation is a result of some information deficiency. Information pertaining to the situation can be obtained via any action by which the uncertainty is reduced. Viewing the concept of uncertainty as primary...

• Type: Conference
• Year: 1999
• Where: ISIPTA
• Authors: George J. Klir
• Keywords: Evidence Theory, ISIPTA 1999, Mathematics, Possibility Theory, Uncertainty-based Information