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O-theory: A probabilistic alternative to fuzzy set theory

  • Section II Approaches To Uncertainty A) Evidence Theory
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Part of the book series: Lecture Notes in Computer Science ((LNCS,volume 286))

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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B. Bouchon R. R. Yager

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© 1987 Springer-Verlag Berlin Heidelberg

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Oblow, E.M. (1987). O-theory: A probabilistic alternative to fuzzy set theory. In: Bouchon, B., Yager, R.R. (eds) Uncertainty in Knowledge-Based Systems. IPMU 1986. Lecture Notes in Computer Science, vol 286. Springer, Berlin, Heidelberg. https://doi.org/10.1007/3-540-18579-8_10

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  • DOI: https://doi.org/10.1007/3-540-18579-8_10

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-18579-6

  • Online ISBN: 978-3-540-48020-4

  • eBook Packages: Springer Book Archive

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