Numerical possibility measures can be interpreted as systems of upper betting rates for events. As such, they have a special part in the unifying behavioural theory of imprecise probabilities, proposed by Walley. On this interpretation, they should arguably satisfy certain rationality, or consistenc
Integration and Conditioning in Numerical Possibility Theory
โ Scribed by Gert de Cooman
- Book ID
- 110353694
- Publisher
- Springer Netherlands
- Year
- 2001
- Tongue
- English
- Weight
- 247 KB
- Volume
- 32
- Category
- Article
- ISSN
- 1012-2443
No coin nor oath required. For personal study only.
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The general order-norm-based approach of defining the conditional possibility H(AIB ) as the greatest solution of the equation ยฐoยฐJ(x, H(B)) = H(A fq B), with oj-a t-norm, and of defining the conditional necessity N(A I B) as the smallest solution of the equation 6a(x, N(co B))= N(A U co B), with ~
A powerful and accurate numerical three-dimensional integration scheme was developed especially for molecular orbital calculations. A multicenter integral is decomposed into the sum of single-center integrals using nuclear weight functions and calculated using Gaussian quadrature rules. The decompos