Mathematical Analysis of Dempster-Shafer Theory

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Department of Cybernetics

Synopsis:

Dempster-Shafer theory (DST) presents a model for uncertainty quantification and processing in knowledge-based systems. The belief function, which is the main numerical characteristic of uncertainty introduced and investigated in this theory, can be taken as a generalization of probability measure. The model of DST will be presented. Generalizations to infinite spaces will be also explained as well as to the case when only a fragment of the outcoming knowledge demanded by the classical DST is at our disposal. Belief function taking non-numerical, in particular, Boolean values will be also briefly mentioned. The intended goal of the course is to offer a solid basis for the practical and critical applications of DST in various fields of application oriented toward decision making under uncertainty.

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