Titlebook: Uncertainty and Vagueness in Knowledge Based Systems; Numerical Methods Rudolf Kruse,Erhard Schwecke,Jochen Heinsohn Book 1991 Springer-Ver

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Reasoning with Mass Distributions,In this chapter we use the methods presented in Chaps. 5 and 6 to establish a reasoning scheme based on the concept of a mass distribution. The qualitative knowledge is again structured by using hypertrees.

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Mass Distributions,y frequentistic interpretation of uncertainty presented above, but allows also a “subjective” view. The practical value of the methods we develop in the sequel arises from the fact that they can be applied even if the underlying random set is unknown.

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Introduction,hly introduced. Moreover a simple example is presented, which will be referred to whenever new concepts have to be illustrated. Finally we return to the notions of uncertainty and vagueness, in order to clarify our . understanding of these phenomena.

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Probability Theory,und representation we always keep in mind a “relative frequency” interpretation or alternatively a degree of confirmation of probabilities. The main shortcoming of many textbooks is that the treatment of imprecise probabilities, which is important for obtaining suitable knowledge representation faci