# In Case of Interval (or More General) Uncertainty, No Algorithm Can Choose the Simplest Representative

In Case of Interval (or More General) Uncertainty, No Algorithm Can Choose the Simplest... When we only know the interval of possible values of a certain quantity (or a more general set of possible values), it is desirable to characterize this interval by supplying the user with the “simplest” element from this interval, and by characterizing how different from this value we can get. For example, if, for some unknown physical quantity x, measurements result in the interval [1.95, 2.1] of possible values, then, most probably, the physicist will publish this result as y ≈ 2. Similarly, a natural representation of the measurement result x ∈ [3.141592, 3.141593] is x ≈ π. http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png Reliable Computing Springer Journals

# In Case of Interval (or More General) Uncertainty, No Algorithm Can Choose the Simplest Representative

, Volume 8 (3) – Oct 13, 2004
15 pages

/lp/springer_journal/in-case-of-interval-or-more-general-uncertainty-no-algorithm-can-N0Ey4R3Ue9
Publisher
Subject
Mathematics; Numeric Computing; Approximations and Expansions; Computational Mathematics and Numerical Analysis; Mathematical Modeling and Industrial Mathematics
ISSN
1385-3139
eISSN
1573-1340
D.O.I.
10.1023/A:1015513329566
Publisher site
See Article on Publisher Site

### Abstract

When we only know the interval of possible values of a certain quantity (or a more general set of possible values), it is desirable to characterize this interval by supplying the user with the “simplest” element from this interval, and by characterizing how different from this value we can get. For example, if, for some unknown physical quantity x, measurements result in the interval [1.95, 2.1] of possible values, then, most probably, the physicist will publish this result as y ≈ 2. Similarly, a natural representation of the measurement result x ∈ [3.141592, 3.141593] is x ≈ π.

### Journal

Reliable ComputingSpringer Journals

Published: Oct 13, 2004

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