Set-models of information-gap uncertainty: axioms and an inference scheme
✍ Scribed by Yakov Ben-Haim
- Publisher
- Elsevier Science
- Year
- 1999
- Tongue
- English
- Weight
- 188 KB
- Volume
- 336
- Category
- Article
- ISSN
- 0016-0032
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✦ Synopsis
The sparsity and complexity of information in many technological situations has led to the development of new methods for quantifying uncertain evidence, and new schemes of inference from uncertain data. This paper deals with set-models of information-gap uncertainty which employ geometrical rather than measure-theoretic tools, and which are radically di!erent from both probability and fuzzy-logic possibility models. The "rst goal of this paper is the construction of an axiomatic basis for info-gap models of uncertainty. The result is completely di!erent from Kolmogorov's axiomatization of probability. Once we establish an axiomatically distinct framework for uncertainty, we arrive at a new possibility for inference and decision from uncertain evidence. The development of an inference scheme from info-gap models of uncertainty is the second goal of this paper. This inference scheme is illustrated with two examples: a logical riddle and a mechanical engineering design decision.