000			02023nam a2200193Ia 4500
999			_c5269 _d5269
005			20210125094906.0
008			160802s9999 xx 000 0 und d
020			_a9783642111891
041			_aeng
082			_a624 _bBER-B
100			_aBernardini, Alberto _940951
245			_aBounding uncertainty in civil engineering : _btheoretical background / _cby Alberto Bernardini
260			_bSpringer, _c2010. _aChennai:
300			_ax, 322 p.
505			_a1.Motivation -- 2.Review of Theory of Probability and Notation -- 3.Random Sets and Imprecise Probabilities -- 4.Random Relations -- 5.Inclusion and Mapping of Random Sets/Relations -- 6.Approximate Reasoning.
520			_aTaking 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.
650			_aCivil engineering --Mathematics. _940966
942			_cBK