Probability propagation in fuzzy Bayesian belief networks with nondeterministic states

Authors:
O. V. Verovka;I. N. Parasyuk
Affiliations:
V. M. Glushkov Cybernetics Institute, National Academy of Sciences of Ukraine, Kiev, Ukraine;V. M. Glushkov Cybernetics Institute, National Academy of Sciences of Ukraine, Kiev, Ukraine
Venue:
Cybernetics and Systems Analysis
Year:
2008

Citing 6
Cited 1

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Abstract

The conceptual basis of fuzzy Bayesian belief networks with nondeterministic states is considered. The concept of a fuzzy probability estimate as a fuzzy relation of special type is introduced and its geometrical interpretation is given. Functional transformations of fuzzy probability estimates are defined and a multidimensional linear interpolation procedure is developed. Fundamental aspects of information distribution in fuzzy Bayesian belief networks with nondeterministic states are considered.