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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No time-table has been prepared for this course

The course is a part of the following study plans:

• Doctoral studies, daily studies (compulsory elective course)
• Doctoral studies, combined studies (compulsory elective course)