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Original Articles

A PROBABILISTIC-PROPOSITIONAL FRAMEWORK FOR THE O-THEORY INTERSECTION RULE

Pages 187-201 | Received 21 Feb 1986, Accepted 29 Oct 1986, Published online: 19 Oct 2007

REFERENCES

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  • E. M. Oblow A hybrid uncertainty theory . Proc. 5th Int. Workshop Expert Systems and their Applications , May 1985 . ADI Press, Paris. See also O-theory A hybrid uncertainty theory. ORNL/TM-9759, Oak Ridge National Laboratory, Oct. 1985 .
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  • D. Dubois and H. Prade , “ A set-theoretic view of belief functions Logical operations and approximations by fuzzy sets . ” Int. J. Gen. Syst. , 12 , No. 3 , 1986 , p. 193 .
  • R. Yager , Arithmetic and other operations on Dempster-Shafer structures . MII-No. 508, Iona College, Machine Intelligent Institute , 1985 .
  • T. L. Fine , Theories of Probability . Academic Press , New York , 1973 .
  • A. Kolmogorov , Foundations of the Theory of Probability . Chelsea , New York , 1956 .
  • L. Zadeh , On the validity of Dempster's rule of combination of evidence . UCB/ERL Memo 79/24 , University of California , Berkeley , 1979 .
  • H. Prade and D. Dubois , Combinationpropagation of uncertainty with belief functionsA reexamination . Proc. of Ninth IJCAI , Aug. 1985 , p. 111 .
  • R. T. Cox , “ Probability, frequency and reasonable expectation .” Am. J. of Phys. , 14 , 1946 , p. 1 .
  • †Research sponsored by U.S. DOE Office of Basic Energy Sciences.

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