2012scholarworks - UTEP (The University of Texas at El Paso)Open access

Interval Uncertainty as the Basis for a General Description of Uncertainty: A Position Paper

Владик Крейнович

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Abstract

Uncertainty is ubiquitous. Depending on what information we have, we get different types of uncertainty. For each type of uncertainty, tech-niques have been developed for efficient representation and processing of this uncertainty. However, the plethora of different uncertainty techniques is often confusing for practitioners. The situation is especially difficult in frequent situations when we need to gauge the uncertainty of the result of complex multi-stage data processing, and different data inputs are known with different types of uncertainty. To avoid this problem, it is necessary to develop and implement a general approach to representing and process-ing different types of uncertainty. In this paper, we argue that the most appropriate foundation for this general approach is interval uncertainty. Uncertainty is ubiquitous. All the data comes either from measurements or from expert estimates. Neither measurements nor expert estimates are ab-solutely accurate, so we always have to deal with uncertainty; see, e.g., [8].

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Uncertainty is ubiquitous. Depending on what information we have, we get different types of uncertainty. For each type of uncertainty, tech-niques have been developed for efficient representation and processing of this uncertainty. However, the plethora of different uncertainty techniques is often confusing for practitioners. The situation is especially difficult in frequent situations when we need to gauge the uncertainty of the result of complex multi-stage data processing, and different data inputs are known with different types of uncertainty. To avoid this problem, it is necessary to develop and implement a general approach to representing and process-ing different types of uncertainty. In this paper, we argue that the most appropriate foundation for this general approach is interval uncertainty. Uncertainty is ubiquitous. All the data comes either from measurements or from expert estimates. Neither measurements nor expert estimates are ab-solutely accurate, so we always have to deal with uncertainty; see, e.g., [8].

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Available abstract

Uncertainty is ubiquitous. Depending on what information we have, we get different types of uncertainty. For each type of uncertainty, tech-niques have been developed for efficient representation and processing of this uncertainty. However, the plethora of different uncertainty techniques is often confusing for practitioners. The situation is especially difficult in frequent situations when we need to gauge the uncertainty of the result of complex multi-stage data processing, and different data inputs are known with different types of uncertainty. To avoid this problem, it is necessary to develop and implement a general approach to representing and process-ing different types of uncertainty. In this paper, we argue that the most appropriate foundation for this general approach is interval uncertainty. Uncertainty is ubiquitous. All the data comes either from measurements or from expert estimates. Neither measurements nor expert estimates are ab-solutely accurate, so we always have to deal with uncertainty; see, e.g., [8].

Key concepts: Uncertainty analysis, Sensitivity analysis, Measurement uncertainty, Uncertain data, Uncertainty quantification, Uncertainty reduction theory, Interval (graph theory), Propagation of uncertainty

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