Titlebook: Analysis and Decision Making in Uncertain Systems; Zdzislaw Bubnicki Book 2004 Springer-Verlag London 2004 Analysis.computer.decision supp

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Application of Uncertain Variables,nty distributions given by an expert. In the non-parametric case, the plant is described by the conditional certainty distribution characterizing the expert’s knowledge of the plant. The considerations are analogous to those for the random variables in Chapter 3.

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Fuzzy Variables, Analogies and Soft Variables,he form needed to formulate our problems and to indicate analogies for non-parametric problems based on random, uncertain and fuzzy variables. These analogies lead to a generalization in the form of soft variables and their applications to non-parametric decision problems.

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Pattern Recognition,hods based on probabilistic description and new approaches (application of uncertain variables are the learning process consisting in the knowledge validation and updating) are presented and discussed in a uniform way, as specific analysis and decision problems with the descriptions of the uncertainty considered in Chapters 3, 5, 6, 7, 11.

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Relational Systems,he function 0 considered in Sect. 1.3. Consequently, for the given relation, the output is not determined by the input. The analysis problem consists in finding the . (or the set of possible outputs) for the given . (or the given set of inputs), and the decision problem consists in finding the . (or

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Application of Random Variables, parameters in the function or in the relation describing the plant are assumed to be values of random variables with the given probability distributions. In the non-parametric case, the plant is described by the given conditional probability distribution. The foundations of random variables and pro