Fuzzy logic and probability

  • Authors:
  • Petr Hájek;Lluís Godo;Francesc Esteva

  • Affiliations:
  • Institute of Computer Science, Academy of Science, Prague, Czech Republic;Institut d'Investigació en Intelligencia Artificial, Spanish Council for Scientific Research, Bellaterra, Spain;Institut d'Investigació en Intelligencia Artificial, Spanish Council for Scientific Research, Bellaterra, Spain

  • Venue:
  • UAI'95 Proceedings of the Eleventh conference on Uncertainty in artificial intelligence
  • Year:
  • 1995

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Abstract

In this paper we deal with a new approach to probabilistic reasoning in a logical frame work. Nearly allmost all logics of probability that have been proposed in the literature are based on classical two-valued logic. After making clear the differences between fuzzy logic and probability theory, here we propose a fuzy logic of probability for which completeness results (in a probabilistic sense) are provided. The main idea behind this approach is that probability values of crisp propositions can be understood as truth-values of some suitable fuzzy propositions associated to the crisp ones. Moreover, suggestions and examples of how to extend the formalism to cope with conditional probabilities and with other uncertainty formalisms are also provided.