Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Preview
Unable to display preview. Download preview PDF.
References
C. E. P. Alchourrón, P. Gärdenfors, D. Makinson (1985) On the logic of theory change: Partial meet functions for contraction and revision. Journal of Symbolic Logic, 50, 513–530.
N. Ben Amor, S. Benferhat (2005) Graphoid properties of qualitative possibilistic independence relations. International Journal of Uncertainty, Fuzziness and Knowledge-Based Systems 13(1), 59–96.
N. Ben Amor, K. Mellouli, S. Benferhat, D. Dubois, H. Prade (2002) A theoretical framework for possibilistic independence in a weakly ordered setting. International Journal of Uncertainty, Fuzziness and Knowledge-Based Systems 10(2): 117–155.
S. Benferhat, D. Dubois, O. Papini (1999) A sequential reversible belief revision method based on polynomials. Proc. National American AI Conference (AAAI-99), Orlando, Florida (USA) AAAI Press/The MIT Press, 733–738.
S. Benferhat, D. Dubois, H. Prade (1992) Representing default rules in possibilistic logic. Proc. of the 3rd Inter. Conf. on Principles of Knowledge Representation and Reasoning (KR’92), Cambridge, MA, 673–684.
S. Benferhat, D. Dubois, H. Prade (1997) Nonmonotonic reasoning, conditional objects and possibility theory. Artificial Intelligence, 92, 259–276.
S. Benferhat, D. Dubois, H. Prade (1999) Possibilistic and standard probabilistic semantics of conditional knowledge. Journal of Logic and Computation, 9, 873–895.
C. Boutilier M. Goldszmidt (1995) Revision by conditional beliefs. In: Conditionals: From Philosophy to Computer Sciences, (G. Crocco, L. Fariñas del Cerro, A. Herzig, eds.), Oxford University Press, Oxford, UK, 267–300.
R. Carnap (1945) Two concepts of probability, Philosophy and Phenomenological Research, 5, 513–532.
W. K. Clifford (1877) The ethics of belief. Contemporary Review. Reprinted in Lectures and Essays1879), and in The Ethics of Belief and Other Essays (Prometheus Books, 1999).
L. J. Cohen (1973) A note on inductive logic. The Journal of Philosophy, LXX, 27–40.
L. J. Cohen (1977) The Probable and the Provable. Clarendon Press, Oxford.
L. J. Cohen (1989) Belief and acceptance. Mind, XCVIII, (391), 367–390.
A. Darwiche, J. Pearl (1997) On the logic of iterated belief revision. Artificial Intelligence, 89, 1–29.
G. De Cooman (1997) Possibility theory — Part I: Measure- and integral-theoretics groundwork; Part II: Conditional possibility; Part III: Possibilistic independence. International Journal of General Systems, 25(4), 291–371.
De Cooman G., Aeyels D. (1999). Supremum-preserving upper probabilities. Information Sciences, 118, 173–212.
B. de Finetti (1936) La logique de la probabilité, Actes Congrès Int. de Philos. Scient., Paris 1935, Hermann et Cie Editions, Paris, IV1–IV9.
D. Dubois (1986) Belief structures, possibility theory and decomposable confidence measures on finite sets. Computers and Artificial Intelligence (Bratislava), 5(5), 403–416.
D. Dubois (2008) Three Scenarios for the revision of epistemic states. Journal of Logic and Computation, 18(5), 721–738.
D. Dubois, H. Fargier, P. Perny, H. Prade (2002) Qualitative decision theory: From Savage’s axioms to nonmonotic reasoning . Journal of the ACM, 49 (4),455–495.
D. Dubois, H. Fargier, H. Prade (2004) Ordinal and probabilistic representations of acceptance. Journal of Artificial Intelligence Research (JAIR), 22, 23–56.
D. Dubois, H. Fargier, H. Prade (2005) Acceptance, conditionals, and belief revision. In : Conditionals, Information, and Inference: International Workshop, WCII 2002 Revised Selected Papers, Hagen, Germany, May 13–15, 2002 (G. Kern-Isberner, W. Rödder, F. Kulmann, eds.), LNCS 3301, Springer-Verlag, Berlin, 38–58.
D. Dubois, L. Farinas, A. Herzig, H. Prade (1999) A roadmap of qualitative independence. In: Fuzzy Sets, Logics and Reasoning about Knowledge (Dubois, D., Prade, H., Klement, E.P., eds.), Kluwer Academic Publishers, Dordrecht, 325–350.
D. Dubois, P. Hajek, H. Prade (2000) Knowledge-Driven versus data-driven logics. Journal of Logic, Language, and Information, 9, 65–89.
D. Dubois, S. Moral, H. Prade (1998) Belief change rules in ordinal and numerical uncertainty theories. In: Belief Change, (D. Dubois H. Prade, eds.), Vol. 3 of the Handbook on Defeasible Reasoning and Uncertainty Management Systems, Kluwer Academic Publishers, Dordrecht, 311–392.
D. Dubois, H. Prade (1980) Fuzzy Sets and Systems: Theory and Applications. Academic Press, New York.
D. Dubois, H. Prade (1988) Possibility Theory: An Approach to Computerized Processing of Uncertainty, Plenum Press, New York.
D. Dubois, H. Prade (1991) Epistemic entrenchment and possibilistic logic. Artificial Intelligence, 50, 223–239.
D. Dubois, H. Prade (1992a) When upper probabilities are possibility measures. Fuzzy Sets and Systems, 49, 65–74.
D. Dubois, H. Prade (1992b) Belief change and possibility theory. In: Belief Revision (P. Gärdenfors, ed.), Cambridge University Press, Cambridge, UK, 142–182.
D. Dubois, H. Prade (1995a) Numerical representation of acceptance. Proc. of the 11th Conf. on Uncertainty in Artificial Intelligence, Montréal, Quebec, 149–156.
D. Dubois, H. Prade (1995b) Conditional objects, possibility theory and default rules. In: Conditionals: From Philosophy to Computer Science, (G. Crocco, L. Farinas del Cerro, A. Herzig eds.), Oxford University Press, UK, 311–346.
D. Dubois, H. Prade (1997) Focusing vs. belief revision: A fundamental distinction when dealing with generic knowledge. In: Qualitative and Quantitative Practical Reasoning (Proc. of the 1st Inter. Joint Conf. ECSQARU/FAPR’97, Bad Honnef, Germany, June 9–12, 1997) (D.M. Gabbay, R. Kruse, A. Nonnengart, H.J. Ohlbach, eds.), Lecture Notes in Artificial Intelligence, Vol. 1244, Springer Verlag, Berlin, 96–107.
D. Dubois, H. Prade (1997) A synthetic view of belief revision with uncertain inputs in the framework of possibility theory. International Journal of Approximate Reasoning, 17(2/3), 295–324.
D. Dubois, H. Prade (1998) Possibility theory: Qualitative and quantitative aspects. In: Quantified Representation of Uncertainty and Imprecision (Ph. Smets, ed.), Vol. 1 of the Handbook of Defeasible Reasoning and Uncertainty Management Systems (D. M. Gabbay and Ph. Smets, series eds.), Kluwer Academic Publishers, Dordrecht 169–226.
D. Dubois, H. Prade (2001) Possibility theory, probability theory and multiple-valued logics: A clarification. Annals of Mathematics and Artificial Intelligence, 32, 35–66.
D. Dubois, H. Prade, R. Sabbadin (2001) Decision-theoretic foundations of qualitative possibility theory. European Journal of Operational Research, 128, 459–478.
D. Dubois, H. Prade and P. Smets (2001) “Not impossible” vs. “guaranteed possible” in fusion and revision. Proc. 6th Europ. Conf. on Symbolic and Quantitative Approaches to Reasoning with Uncertainty (ECSQARU’01), LNAI 2143, 522–531.
N. Friedman, J. Halpern (1996) Plausibility measures and default reasoning. Proc. of the 13th National Conf. on Artificial Intelligence (AAAI’96), Portland, OR, 1297–1304.
P. Gärdenfors (1988) Knowledge in Flux. MIT Press, Cambridge, MA.
P. Gärdenfors (1990) Belief revision and irrelevance, PSA, 2, 349–356.
P. Gärdenfors, D. Makinson (1994) Nonmonotonic inference based on expectations. Artificial Intelligence, 65, 197–245.
A. Grove (1988) Two modellings for theory change. Journal of Philosophical Logic, 17, 157–170.
J. Halpern (1997) Defining relative likelihood in partially-ordered preferential structures. Journal of Artificial Intelligence Research, 7, 1–24.
K. Kraus, D. Lehmann, M. Magidor (1990) Nonmonotonic reasoning, preferential models and cumulative logics. Artificial Intelligence, 44, 167–207.
H. E. Kyburg (1961) Probability and the Logic of Rational Belief. Wesleyan University Press. Middletown, Ct.
H. E. Kyburg (1988) Knowledge. In: Uncertainty in Artificial Intelligence, vol 2, (J. F. Lemmer and L. N. Kanal,eds.), Elsevier, Amsterdam, 263–272.
D. Lehmann, M. Magidor (1992) What does a conditional knowledge base entail? Artificial Intelligence, 55, 1–60.
I. Levi (1966) On potential surprise. Ratio, 8, 117–129.
I. Levi (1967) Gambling with Truth, chapters VIII and IX, Knopf, New York
I. Levi (1979) Support and surprise: L. J. Cohen’s view of inductive probability. British Journal for the Philosophy of Science, 30, 279–292.
D. L. Lewis (1973) Counterfactuals. Basil Blackwell, Oxford, UK.
J. Lukasiewicz (1930) Philosophical remarks on many-valued systems of propositional logic. Reprinted in Selected Works (Borkowski, ed.), Studies in Logic and the Foundations of Mathematics, North-Holland, Amsterdam, 1970, 153–179.
D. Makinson, P. Gärdenfors (1991) Relations between the logic of theory change and nonmonotonic reasoning. In: The Logic of Theory Change (A. Fürmann, M. Morreau, eds.), LNAI 465, Springer Verlag, Berlin, 185–205.
J. Pearl (1990) System Z: a natural ordering of defaults with tractable applications to default reasoning. Proc. of the 3rd Conf. on the Theoretical Aspects of Reasoning About Knowledge (TARK’90), Morgan and Kaufmann, San Mateo, CA., 121–135.
D. Poole (1991) The effect of knowledge on belief: conditioning, specificity and the lottery paradox in defaut reasoning. Artificial Intelligence, 49, 281–307.
H. Reichenbach (1938) Experience and Prediction, : an Analysis of the Foundations and the Structure of Knowledge. University of Chicago Press, USA.
N. Rescher (1976) Plausible Reasoning. Van Gorcum, Amsterdam.
G. L. S. Shackle (1949) Expectation in Economics. Cambridge University Press, Cambridge, UK. 2nd edition, 1952.
G. L. S. Shackle (1961) Decision Order and Time in Human Affairs. 2nd edition, Cambridge University Press, Cambridge, UK.
G. Shafer (1976) A Mathematical Theory of Evidence. Princeton University Press, Princeton.
Y. Shoham (1988). Reasoning About Change — Time and Causation from the Standpoint of Artificial Intelligence, Cambridge, MA : The MIT Press.
P. Snow (1999) Diverse confidence levels in a probabilistic semantics for conditional logics. Artificial Intelligence, D. Reidel, Dordrecht, The Netherlands, 113, 269–279.
W. Spohn (1988) Ordinal conditional functions: a dynamic theory of epistemic states. In: Causation in Decision, Belief Change and Statistics, vol. 2, (W. Harper, B. Skyrms, eds.), 105–134.
P. Walley (1991). Statistical Reasoning with Imprecise Probabilities, Chapman and Hall, Canada.
P. Walley P. (1996) Measures of uncertainty in expert systems. Artificial Intelligence, 83, 1–58.
J. Weisbrod (1998) A new approach to fuzzy reasoning, Soft Computing, 2, 89–99.
M.A. Williams (1994) Transmutations of knowledge systems. Proc. of the 4th Inter. Conf. on Principles of Knowledge Representation and Reasoning (KR’94), (J. Doyle, E. Sandewall, P. Torasso, eds.), Bonn, Germany, 619–629.
L. A. Zadeh (1965) Fuzzy sets. Information and Control, 8, 338–353.
L. A. Zadeh (1978) Fuzzy sets as a basis for a theory of possibility. Fuzzy Sets and Systems, 1,3–28.
L. A. Zadeh (1981). Possibility theory and soft data analysis. In: Mathematical Frontiers of Social and Policy Sciences (Cobb L. and Thrall R.M., eds.), Westview Press, Boulder, Colo. 69–129.
Author information
Authors and Affiliations
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 2009 Springer Science+Business Media B.V.
About this chapter
Cite this chapter
Dubois, D., Prade, H. (2009). Accepted Beliefs, Revision and Bipolarity in the Possibilistic Framework. In: Huber, F., Schmidt-Petri, C. (eds) Degrees of Belief. Synthese Library, vol 342. Springer, Dordrecht. https://doi.org/10.1007/978-1-4020-9198-8_7
Download citation
DOI: https://doi.org/10.1007/978-1-4020-9198-8_7
Publisher Name: Springer, Dordrecht
Print ISBN: 978-1-4020-9197-1
Online ISBN: 978-1-4020-9198-8
eBook Packages: Humanities, Social Sciences and LawPhilosophy and Religion (R0)