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Titlebook: Uncertain Logics, Variables and Systems; Zdzislaw Bubnicki Book 2002 Springer-Verlag Berlin Heidelberg 2002 Mathematica.calculus.dynamical

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Analysis and Decision Making for Static Plants,ed by a function . = .(.), the analysis problem consists in finding the value . for the given value .. Consider now the plant described by . = .(.) where . ∈ . is an unknown vector parameter which is assumed to be a value of an uncertain variable .with the certainty distribution . .(.) given by an e
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Relational Systems,not reduced to functions. Let us consider a static plant with input vector . ∈ . and output vector . ∈ ., where . and . are real number vector spaces. The plant is described by a relation .which may be called a . of the plant. It is an extension of the traditional functional model . = .(.) considere
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Special and Related Problems, the object belongs; . ∈ {1, 2, ..., .} ≜ . is a number of the classes. The set of the objects may be described by a relational knowledge representation . (.) ∈ . × . which is reduced to the sequence of sets .Assume that as a result of the observation it is known that . ∈ . . ⊂ .. The recognition pr
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Book 2002is mo- graph is to present basic concepts, definitions and results concerning the uncertain variables and their applications to analysis and decision problems in uncertain systems described by traditional mathematical models and by knowledge rep- sentations. I hope that the book can be useful for gr
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Uncertain Logics and Variables,.. The crisp property defines a set.Consider now a universal set ., . ∈ ., a set . which is assumed to be a metric space, a function . → ., and a crisp property .(.) in the set .. The property . and the function . generate the crisp property . (.) in .: “For the value .assigned to . the property . is satisfied”, i.e.
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Analysis and Decision Making for Static Plants,ere . ∈ . is an unknown vector parameter which is assumed to be a value of an uncertain variable .with the certainty distribution . .(.) given by an expert. Then . is a value of an uncertain variable .and for the fixed ., .is the function of .
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