Some Approaches to Combining Probabilistic and Fuzzy Uncertainties
2012
Oleg Uzhga-Rebrov, Gaļina Kuļešova

Different types of uncertainty are widely spread in all areas of human activity. Probabilistic uncertainties are related to the chances of occurrence of random events. To deal with this kind of uncertainty, statistics and probability theory are successfully employed. Another kind of uncertainty, fuzzy uncertainties refer to imprecision and fuzziness of different kinds of measurements. To cope with this kind of uncertainty, the fuzzy set theory is used. This paper addresses widespread approaches to combining probabilistic and fuzzy uncertainties. The theoretical fundamentals of the approaches are considered within the context of the generalized theory of uncertainty (GTU).


Keywords
probabilistic uncertainty, fuzzy uncertainty, random variable, generalized constraint, fuzzy event, probability of fuzzy event, fuzzy probability distribution

Uzhga-Rebrov, O., Kuļešova, G. Some Approaches to Combining Probabilistic and Fuzzy Uncertainties. Information Technology and Management Science. Vol.15, 2012, pp.189-194. ISSN 2255-9086. e-ISSN 2255-9094.

Publication language
English (en)
The Scientific Library of the Riga Technical University.
E-mail: uzzinas@rtu.lv; Phone: +371 28399196