# O-theory: A probabilistic alternative to fuzzy set theory

Section II Approaches To Uncertainty A) Evidence Theory

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## Abstract

A hybrid uncertainty theory is developed to bridge the gap between fuzzy set theory and Dempster-Shafer theory. Its basis is the Dempster-Shafer formalism, which is extended to include a complete set of basic operations for handling uncertainties in a set-theoretic framework. The new operator theory, O-Theory, retains the probabilistic flavor of Dempster's original point-to-set mappings but includes the potential for defining a range of operators like those found in fuzzy set theory.

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## References

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## Copyright information

© Springer-Verlag Berlin Heidelberg 1987