Uncertainty in Artificial Intelligence
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Fuzzy Logic and Probability
Petr Hajek, Lluis Godo, Francesc Esteva
Abstract:
In this paper we deal with a new approach to probabilistic reasoning in a logical framework. Nearly almost 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 {em 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 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.
Keywords: Fuzzy logic, logics of probability, rational Pavelka's logic, probabilistic complete
Pages: 237-244
PS Link: http://www.iiia.csic.es/Reports/1995/flpro-uai95.ps
PDF Link: /papers/95/p237-hajek.pdf
BibTex:
@INPROCEEDINGS{Hajek95,
AUTHOR = "Petr Hajek and Lluis Godo and Francesc Esteva",
TITLE = "Fuzzy Logic and Probability",
BOOKTITLE = "Proceedings of the Eleventh Conference Annual Conference on Uncertainty in Artificial Intelligence (UAI-95)",
PUBLISHER = "Morgan Kaufmann",
ADDRESS = "San Francisco, CA",
YEAR = "1995",
PAGES = "237--244"
}


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