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Bounding Uncertainty in Civil Engineering - Theoretical Background (Hardcover, 2010 ed.)
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Bounding Uncertainty in Civil Engineering - Theoretical Background (Hardcover, 2010 ed.)
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Taking an engineering, rather than a mathematical, approach,
Bounding uncertainty in Civil Engineering - Theoretical Background
deals with the mathematical theories that use convex sets of
probability distributions to describe the input data and/or the
final response of systems. The particular point of view of the
authors is centered on the applications to civil engineering
problems, and the theory of random sets has been adopted as a basic
and relatively simple model. However, the authors have tried to
elucidate its connections to the more general theory of imprecise
probabilities, Choquet capacities, fuzzy sets, p-boxes, convex sets
of parametric probability distributions, and approximate reasoning
both in one dimension and in several dimensions with associated
joint spaces. If choosing the theory of random sets may lead to
some loss of generality, it has, on the other hand, allowed for a
self-contained selection of the topics and a more unified
presentation of the theoretical contents and algorithms. With over
80 examples worked out step by step, the book should assist
newcomers to the subject (who may otherwise find it difficult to
navigate a vast and dispersed literature) in applying the
techniques described to their own specific problems.
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