Fuzzy logic and probability

نویسندگان

  • Petr Hájek
  • Lluis Godo
  • Francesc Esteva
چکیده

In this paper we deal with a new approach to probabilistic reasoning in a logical frame­ work. Nearly almost all logics of probabil­ ity that have been proposed in the litera­ ture are based on classical two-valued logic. After making clear the differences between fuzzy logic and probability theory, here we propose a fuzzy 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 as­ sociated to the crisp ones. Moreover, sug­ gestiotlS and examples of how to extend the formalism to cope with conditional probabil­ ities and with other uncertainty formalisms are also provided.

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تاریخ انتشار 1995