Abstract

Recent natural disasters and major technological accidents, as well as intensification of human activities prove the strategic necessity for the effective use of results of natural and technological object monitoring and its integration within the national economic processes. This paper discusses the possibility of combining modern social technologies and the process of ground-space monitoring of natural and technological objects, as well as improving the efficiency and social importance of this process, by involving public representatives to the dissemination and use of the monitoring data.

Highlights

  • Probabilistic evaluations represent occurrence chances of random events

  • It is supposed that a true probability function is between those boundary probability functions

  • The section considers basics of the theory of evidence and Dempster’s belief combination rule that makes it possible to solve the task in a standard way

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Summary

Alternative Methods for Combining Probability Boxes

Abstract – Probability boxes (p-boxes) are used as a tool for modeling uncertainty regarding probability distributions in the sets of relevant elements (random events, values of the random variable etc.). To combine information produced by two or more p-boxes, Dempster’s rule for belief combination is commonly used. There are plenty of other rules for belief combination developed within the theory of evidence. The purpose of this paper is to present and analyze some widespread rules of that kind as well as examine their potentialities regarding combining the information provided by probability boxes. Keywords – Basic probability assignments, belief combination rules, p-boxes, theory of evidence

INTRODUCTION
BASICS OF THE THEORY OF EVIDENCE
ALTERNATIVE METHODS FOR THE COMBINATION OF PROBABILITY BOXES
CONCLUSION

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