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Fuzzy logic and probability

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Francesc EstevaAuthors Info & Claims

UAI'95: Proceedings of the Eleventh conference on Uncertainty in artificial intelligence

Pages 237 - 244

Published: 18 August 1995 Publication History

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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.

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Cited By

Corsi EFermüller C(2019)Connecting fuzzy logic and argumentation frames via logical attack principlesSoft Computing - A Fusion of Foundations, Methodologies and Applications10.1007/s00500-018-3513-223:7(2255-2270)Online publication date: 1-Apr-2019
https://dl.acm.org/doi/10.1007/s00500-018-3513-2
Savi NDoder DOgnjanovi Z(2017)Logics with lower and upper probability operatorsInternational Journal of Approximate Reasoning10.1016/j.ijar.2017.05.01388:C(148-168)Online publication date: 1-Sep-2017
https://dl.acm.org/doi/10.1016/j.ijar.2017.05.013
Fermüller CMajer O(2015)Equilibrium Semantics for IF Logic and Many-Valued ConnectivesRevised Selected Papers of the 11th International Tbilisi Symposium on Logic, Language, and Computation - Volume 1014810.1007/978-3-662-54332-0_16(290-312)Online publication date: 21-Sep-2015
https://dl.acm.org/doi/10.1007/978-3-662-54332-0_16
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Fuzzy logic and probability

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Information & Contributors

Information

Published In

cover image Guide Proceedings

UAI'95: Proceedings of the Eleventh conference on Uncertainty in artificial intelligence

August 1995

590 pages

ISBN:1558603859

Editors:
Philippe Besnard
IRISA, Rennes, France
,
Steve Hanks
University of Washington, Seattle

Sponsors

Rockwell Science Center: Rockwell Science Center
Lumina Decision Systems: Lumina Decision Systems, Inc.

Publisher

Morgan Kaufmann Publishers Inc.

San Francisco, CA, United States

Publication History

Published: 18 August 1995

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Cited By

Corsi EFermüller C(2019)Connecting fuzzy logic and argumentation frames via logical attack principlesSoft Computing - A Fusion of Foundations, Methodologies and Applications10.1007/s00500-018-3513-223:7(2255-2270)Online publication date: 1-Apr-2019
https://dl.acm.org/doi/10.1007/s00500-018-3513-2
Savi NDoder DOgnjanovi Z(2017)Logics with lower and upper probability operatorsInternational Journal of Approximate Reasoning10.1016/j.ijar.2017.05.01388:C(148-168)Online publication date: 1-Sep-2017
https://dl.acm.org/doi/10.1016/j.ijar.2017.05.013
Fermüller CMajer O(2015)Equilibrium Semantics for IF Logic and Many-Valued ConnectivesRevised Selected Papers of the 11th International Tbilisi Symposium on Logic, Language, and Computation - Volume 1014810.1007/978-3-662-54332-0_16(290-312)Online publication date: 21-Sep-2015
https://dl.acm.org/doi/10.1007/978-3-662-54332-0_16
Perović ADoder DOgnjanović Z(2012)On real-valued evaluation of propositional formulasProceedings of the 7th international conference on Foundations of Information and Knowledge Systems10.1007/978-3-642-28472-4_15(264-277)Online publication date: 5-Mar-2012
https://dl.acm.org/doi/10.1007/978-3-642-28472-4_15
Kraipeerapun PFung C(2009)Binary classification using ensemble neural networks and interval neutrosophic setsNeurocomputing10.1016/j.neucom.2008.07.01772:13-15(2845-2856)Online publication date: 1-Aug-2009
https://dl.acm.org/doi/10.1016/j.neucom.2008.07.017
Běhounek L(2008)On the difference between traditional and deductive fuzzy logicFuzzy Sets and Systems10.1016/j.fss.2007.12.004159:10(1153-1164)Online publication date: 1-May-2008
https://dl.acm.org/doi/10.1016/j.fss.2007.12.004
Hájek P(2007)Complexity of fuzzy probability logics IIFuzzy Sets and Systems10.1016/j.fss.2007.07.001158:23(2605-2611)Online publication date: 1-Dec-2007
https://dl.acm.org/doi/10.1016/j.fss.2007.07.001
Booth RRichter E(2002)On revising fuzzy belief basesProceedings of the Nineteenth conference on Uncertainty in Artificial Intelligence10.5555/2100584.2100594(81-88)Online publication date: 7-Aug-2002
https://dl.acm.org/doi/10.5555/2100584.2100594

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