prof. Ing. Mirko Navara, DrSc.

The classical probability theory studies only those random events which admit unlimited repetition. This assumption is violated not only in quantum theory, but also in sociology, psychology, medicine, etc. The corresponding mathematical theory brings many difficulties. Specialized computer algebra programs play an important role in this study. Thus the topic is appropriate both for theoreticians and for programmers capable of implementation of new procedures.

The classical probability theory studies only those random events which admit unlimited repetition. This assumption is violated not only in quantum theory, but also in sociology, psychology, medicine, etc. The corresponding mathematical theory brings many difficulties. Specialized computer algebra programs play an important role in this study. Thus the topic is appropriate both for theoreticians and for programmers capable of implementation of new procedures.

Fuzzy logic has a lot of successful applications in control, sometimes limited by the knowledge of the underlying mathematics. Recent theoretical results led to improvement of quality of fuzzy control. They are applicable more generally and could advance other fields, including machine learning, where uncertainty was mostly modeled by probabilistic models not including fuzziness. This topic combines the mathematical and engineering approach, thus is it particularly convenient for students of computer science who are keen on mathematics.

Probability and statistics study a relatively narrow field of applications satisfying the assumptions of the classical theory. Among others, they assume repeatable experiments with yes-no results described by the classical logic. In many applications, these assumptions are violated and the classical approach fails. The development of mathematical tools handling these more general situations meets many problems. It is desirable to contribute by building new mathematical theories, as well as their applications in sociology, psychology, medicine, etc.

Probability and statistics study a relatively narrow field of applications satisfying the assumptions of the classical theory. Among others, they assume repeatable experiments with yes-no results described by the classical logic. In many applications, these assumptions are violated and the classical approach fails. The development of mathematical tools handling these more general situations meets many problems. It is desirable to contribute by building new mathematical theories, as well as their applications in sociology, psychology, medicine, etc.

Fuzzy control has a lot of successful applications, sometimes restricted by only a partial knowledge of the underlying mathematical theory. A detailed analysis of the properties of fuzzy controllers leads to improvement of quality of control. This topic combines the mathematical and engineering approach, thus is it particularly convenient for those students of electrical engineering who are keen of mathematics.

Fuzzy control has a lot of successful applications, sometimes restricted by only a partial knowledge of the underlying mathematical theory. A detailed analysis of the properties of fuzzy controllers leads to improvement of quality of control. This topic combines the mathematical and engineering approach, thus is it particularly convenient for those students of electrical engineering who are keen of mathematics.

Fuzzy logic has a lot of successful applications, sometimes limited by our knowledge of the mathematical background; many theoretical questions remained open. New results and tools (including computer programs) enable a progress. This topic combines the mathematical and engineering approach with the use of modern computational tools.

Fuzzy logic has a lot of successful applications, sometimes limited by our knowledge of the mathematical background; many theoretical questions remained open. New results and tools (including computer programs) enable a progress. This topic combines the mathematical and engineering approach with the use of modern computational tools.