It is a Fundamental Limitation to Base Probability Theory on Bivalent Logic

  • Lotfi A. Zadeh
Conference paper
Part of the Advances in Soft Computing book series (AINSC, volume 19)


Probability theory has long played—and is continuing to play—the role of the principal tool for dealing with problems in which uncertainty is a significant factor. The history of probability theory is a history of important advances in our understanding of decision-making in uncertain environments. But what we see alongside the brilliant successes are problem areas in which progress has been elusive. An example is the class of problems in which probabilities, utilities and relations are ill-defined in ways that put such problems well beyond the reach of existing methods.


Fundamental Limitation Uncertain Environment Possibility Distribution Maximum Entropy Principle Imprecise Probability 
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Copyright information

© Springer-Verlag Berlin Heidelberg 2003

Authors and Affiliations

  • Lotfi A. Zadeh
    • 1
  1. 1.Berkeley Initiative in Soft Computing (BISC) Computer Science Division and the Electronics Research Laboratory Department of EECSUniversity of CaliforniaBerkeleyUSA

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