L. Zadeh, Fuzzy sets as a basis for a theory of possibility, Fuzzy Sets Syst, vol.112, pp.3-28, 1977.

L. Zadeh, PRUF?a meaning representation language for natural languages, International Journal of Man-Machine Studies, vol.10, issue.4, pp.395-460, 1978.
DOI : 10.1016/S0020-7373(78)80003-0

P. Bosc and O. Pivert, Fuzzy preference queries to relational databases, 2012.
URL : https://hal.archives-ouvertes.fr/hal-00736368

W. Lodwick and J. Kacprzyk, Fuzzy optimisation: Recent advances and applications, Studies in Fuzziness and Soft Computing, 2010.

D. Dubois and H. Prade, Fuzzy set and possibility theory-based methods in artificial intelligence, Artificial Intelligence, vol.148, issue.1-2, pp.1-9, 2003.
DOI : 10.1016/S0004-3702(03)00118-8
URL : http://doi.org/10.1016/s0004-3702(03)00118-8

D. Dubois, E. Kerre, R. Mesiar, and H. Prade, Fuzzy interval analysis Fundamentals of fuzzy sets. The handbooks of fuzzy sets series, pp.483-581, 2000.

D. Dubois and H. Prade, Possibility theory and its applications: where do we stand? handbook of computational intelligence, pp.31-60, 2015.
DOI : 10.1007/978-3-662-43505-2_3
URL : http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.411.3469

G. Shackle, The Expectational Dynamics of the Individual, Economica, vol.10, issue.38, pp.99-129, 1943.
DOI : 10.2307/2549459

G. Shackle, Expectation in Economics., The Philosophical Quarterly, vol.3, issue.13, 1949.
DOI : 10.2307/2217133

G. Shackle, Decision, order and time in human affairs, 1961.

D. Lewis, Counterfactuals and comparative possibility, Dordrecht, the Netherlands: D. Reidel, pp.418-446, 1973.
DOI : 10.1007/bf00262950

L. Zadeh, A note on similarity-based definitions of possibility and probability, Information Sciences, vol.267, pp.334-336, 2014.
DOI : 10.1016/j.ins.2014.01.046

R. Yager, An introduction to applications of possibility theory, Human Syst Manag, vol.3, pp.246-269, 1983.

D. Dubois and H. Prade, Possibility theory, 1988.
URL : https://hal.archives-ouvertes.fr/hal-01136336

L. Zadeh, J. Hayes, D. Mitchie, and L. Mikulich, A theory of approximate reasoning, Machine intelligence, pp.149-194, 1979.

D. Dubois, H. Prade, and P. Smets, New Semantics for Quantitative Possibility Theory, Symbolic and quantitative approaches to reasoning with uncertainty, pp.410-421, 2001.
DOI : 10.1007/3-540-44652-4_36
URL : http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.15.2882

D. Dubois and H. Prade, The logical view of conditioning and its application to possibility and evidence theories, International Journal of Approximate Reasoning, vol.4, issue.1, pp.23-46, 1990.
DOI : 10.1016/0888-613X(90)90007-O

A. Dempster, Upper and Lower Probabilities Induced by a Multivalued Mapping, The Annals of Mathematical Statistics, vol.38, issue.2, pp.325-339, 1967.
DOI : 10.1214/aoms/1177698950

D. Dubois, P. Hajek, and H. Prade, Knowledge-driven versus data-driven logics, Journal of Logic, Language and Information, vol.9, issue.1, pp.65-89, 2000.
DOI : 10.1023/A:1008370109997

D. Dubois and H. Prade, An overview of the asymmetric bipolar representation of positive and negative information in possibility theory, Fuzzy Sets and Systems, vol.160, issue.10, pp.1355-1366, 2009.
DOI : 10.1016/j.fss.2008.11.006

W. Spohn, R. Shachter, T. Levitt, L. Kanal, and J. Lemmer, A general, nonprobabilistic theory of inductive reasoning, Uncertainty in artificial intelligence, vol.4, pp.149-158, 1990.

A. Grove, Two modellings for theory change, Journal of Philosophical Logic, vol.17, issue.2, pp.157-170, 1988.
DOI : 10.1007/BF00247909

W. Spohn, Ordinal conditional functions: a dynamic theory of epistemic states, Causation in decision, belief change, and statistics, pp.105-134, 1988.

W. Spohn, The laws of belief: ranking theory and its philosophical applications, 2012.
DOI : 10.1093/acprof:oso/9780199697502.001.0001

S. Benferhat, D. Dubois, H. Prade, and M. Williams, A framework for iterated belief revision using possibilistic counterparts to Jeffrey's rule, Fundam Inform, vol.99, issue.2, pp.147-168, 2010.

P. Gärdenfors, Knowledge in flux, 1988.

D. Dubois, Belief structures, possibility theory and decomposable confidence measures on finite sets, Comput Artif Intell (Bratislava), vol.5, issue.5, pp.403-416, 1986.

G. Shafer, Belief functions and possibility measures Analysis of fuzzy information, Vol I: Mathematics and logic, pp.51-84, 1987.

D. Dubois and H. Prade, Fuzzy sets and systems: Theory and applications, 1980.

D. Dubois and H. Prade, When upper probabilities are possibility measures, Fuzzy Sets and Systems, vol.49, issue.1, pp.65-74, 1992.
DOI : 10.1016/0165-0114(92)90110-P

D. De-cooman and D. Aeyels, Supremum preserving upper probabilities, Information Sciences, vol.118, issue.1-4, pp.173-212, 1999.
DOI : 10.1016/S0020-0255(99)00007-9

P. Walley, Statistical reasoning with imprecise probabilitiess. London: Chapman and Hall, 1991.

R. Giles, Foundations for a theory of possibility Fuzzy information and decision processes. Amsterdam: North-Holland, pp.183-196, 1982.

P. Walley, D. Cooman, and G. , A behavioral model for linguistic uncertainty, Information Sciences, vol.134, issue.1-4, pp.1-37, 1999.
DOI : 10.1016/S0020-0255(01)00090-1
URL : http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.85.3215

G. Shafer, A Mathematical theory of evidence, 1976.

D. Dubois and H. Prade, On several representations of an uncertain body of evidence Fuzzy information and decision processes, pp.167-181, 1982.

D. Dubois and H. Prade, Epistemic entrenchment and possibilistic logic, Artificial Intelligence, vol.50, issue.2, pp.223-239, 1991.
DOI : 10.1016/0004-3702(91)90101-O

D. Dubois, H. Fargier, and H. Prade, Ordinal and probabilistic representations of acceptance, J. Artif Intell Res, vol.22, pp.23-56, 2004.

D. Dubois, H. Fargier, and H. Prade, Possibility theory in constraint satisfaction problems: Handling priority, preference and uncertainty, Applied Intelligence, vol.1, issue.no. 3, pp.287-309, 1996.
DOI : 10.1007/BF00132735
URL : http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.45.7538

S. Schockaert and H. Prade, Solving conflicts in information merging by a flexible interpretation of atomic propositions, Artificial Intelligence, vol.175, issue.11, pp.1815-1855, 2011.
DOI : 10.1016/j.artint.2011.04.001

S. Dupin-de, F. Cyr, J. Lang, and S. Th, Penalty logic and its link with Dempster?Shafer theory, Proc Annual Conf on Uncertainty in Artificial Intelligence (UAI'94), pp.204-211, 1994.

E. Mamdani, Advances in the linguistic synthesis of fuzzy controllers, International Journal of Man-Machine Studies, vol.8, issue.6, pp.669-678, 1976.
DOI : 10.1016/S0020-7373(76)80028-4

S. Benferhat, D. Dubois, and H. Prade, Practical handling of exception-tainted rules and independence information in possibilistic logic, Applied Intelligence, vol.9, issue.2, pp.101-127, 1998.
DOI : 10.1023/A:1008259801924

J. Pearl, System Z: a natural ordering of defaults with tractable applications to nonmonotonic reasoning, Proc 3rd Conf on Theoretical Aspects of Reasoning about Knowledge, pp.121-135, 1990.

M. Goldszmidt and J. Pearl, Qualitative probabilities for default reasoning, belief revision, and causal modeling, Artificial Intelligence, vol.84, issue.1-2, pp.52-112, 1996.
DOI : 10.1016/0004-3702(95)00090-9
URL : http://doi.org/10.1016/0004-3702(95)00090-9

T. Sudkamp, Similarity and the measurement of possibility Actes Rencontres Francophones sur la Logique Floue et ses Applications Cepadues Editions, pp.13-26, 2002.

E. Ruspini, On the semantics of fuzzy logic, International Journal of Approximate Reasoning, vol.5, issue.1, pp.45-88, 1991.
DOI : 10.1016/0888-613X(91)90006-8

I. Türksen and T. Bilgic, Measurement of Membership Functions, pp.195-230, 2000.
DOI : 10.1016/B978-0-444-42723-6.50009-X

T. Marchant, The measurement of membership by comparisons, Fuzzy Sets and Systems, vol.148, issue.2, pp.157-177, 2004.
DOI : 10.1016/j.fss.2004.03.013

T. Marchant, The measurement of membership by subjective ratio estimation, Fuzzy Sets and Systems, vol.148, issue.2, pp.179-199, 2004.
DOI : 10.1016/j.fss.2004.04.006

D. Dubois, Possibility theory and statistical reasoning, Computational Statistics & Data Analysis, vol.51, issue.1, pp.47-69, 2006.
DOI : 10.1016/j.csda.2006.04.015
URL : http://www.irit.fr/~Didier.Dubois/Papers0804/D_CSDA06.pdf

G. Mauris, Possibility distributions: A unified representation of usual direct-probability-based parameter estimation methods, International Journal of Approximate Reasoning, vol.52, issue.9, pp.1232-1242, 2001.
DOI : 10.1016/j.ijar.2011.04.003
URL : https://hal.archives-ouvertes.fr/hal-00647929

G. Mauris, A Review of Relationships Between Possibility and Probability Representations of Uncertainty in Measurement, IEEE Transactions on Instrumentation and Measurement, vol.62, issue.3, pp.622-632, 2013.
DOI : 10.1109/TIM.2012.2218057
URL : https://hal.archives-ouvertes.fr/hal-00829150

I. Couso and D. Dubois, Statistical reasoning with set-valued information: Ontic vs. epistemic views, International Journal of Approximate Reasoning, vol.55, issue.7, pp.1502-1518, 2014.
DOI : 10.1016/j.ijar.2013.07.002
URL : https://hal.archives-ouvertes.fr/hal-01153809

S. Ferson, L. Ginzburg, V. Kreinovich, L. Longpré, and M. Aviles, Exact Bounds on Finite Populations of Interval Data, Reliable Computing, vol.3, issue.1, pp.207-233, 2005.
DOI : 10.1007/s11155-005-3616-1
URL : http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.63.6186

C. Joslyn, MEASUREMENT OF POSSIBILISTIC HISTOGRAMS FROM INTERVAL DATA, International Journal of General Systems, vol.18, issue.1, pp.9-33, 1997.
DOI : 10.1080/03081079708945167

I. Couso, D. Dubois, and L. Sanchez, Random sets and random fuzzy sets as ill-perceived random variables, 2014.
DOI : 10.1007/978-3-319-08611-8

S. Ferson, V. Kreinovich, L. Ginzburg, D. Myers, and K. Sentz, Constructing probability boxes and Dempster?Shafer structures, 2003.
DOI : 10.2172/809606

J. Kampé-de-fériet, Interpretation of membership functions of fuzzy sets in terms of plausibility and belief Fuzzy information and decision processes, pp.93-98, 1982.

I. Goodman, Fuzzy sets as equivalence classes of random sets Fuzzy sets and possibility theory: Recent developments, pp.327-342, 1981.

D. Dubois and H. Prade, Consonant approximations of belief functions, International Journal of Approximate Reasoning, vol.4, issue.5-6, pp.419-449, 1990.
DOI : 10.1016/0888-613X(90)90015-T
URL : http://doi.org/10.1016/0888-613x(90)90015-t

D. Dubois and H. Prade, Fuzzy sets and statistical data, European Journal of Operational Research, vol.25, issue.3, pp.345-356, 1986.
DOI : 10.1016/0377-2217(86)90266-3

M. Delgado and S. Moral, On the concept of possibility-probability consistency, Fuzzy Sets and Systems, vol.21, issue.3, pp.311-318, 1987.
DOI : 10.1016/0165-0114(87)90132-1

D. Dubois and E. Huellermeier, Comparing probability measures using possibility theory: A notion of relative peakedness, International Journal of Approximate Reasoning, vol.45, issue.2, pp.364-385, 2007.
DOI : 10.1016/j.ijar.2006.06.017

L. De-campos, J. Huete, and S. Moral, PROBABILITY INTERVALS: A TOOL FOR UNCERTAIN REASONING, International Journal of Uncertainty, Fuzziness and Knowledge-Based Systems, vol.02, issue.02, pp.167-196, 1994.
DOI : 10.1142/S0218488594000146

L. De-campos and J. Huete, MEASUREMENT OF POSSIBILITY DISTRIBUTIONS, International Journal of General Systems, vol.9, issue.3, pp.309-346, 2001.
DOI : 10.1016/0165-0114(78)90029-5

M. Masson and T. Denoeux, Inferring a possibility distribution from empirical data, Fuzzy Sets and Systems, vol.157, issue.3, pp.319-340, 2006.
DOI : 10.1016/j.fss.2005.07.007
URL : http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.81.7544

S. Destercke, D. Dubois, and E. Chojnacki, Unifying practical uncertainty representations. II: Clouds, International Journal of Approximate Reasoning, vol.49, issue.3, pp.664-677, 2008.
DOI : 10.1016/j.ijar.2008.07.004
URL : https://hal.archives-ouvertes.fr/irsn-00311696

G. Mauris and D. Dubois, Inferring a possibility distribution from very few measurements Soft methods for handling variability and imprecision (SMPS 2008) Advances in Soft Computing, pp.92-99, 2008.

R. Machol and J. Rosenblatt, Confidence interval based on single observation, Proceedings of the IEEE, vol.54, issue.8, pp.1087-1088, 1966.
DOI : 10.1109/PROC.1966.5012

D. Dubois, H. Prade, and S. Sandri, On possibilityprobability transformations, Fuzzy Logic: State of the Art, pp.103-112, 1993.

D. Dubois, L. Foulloy, G. Mauris, and H. Prade, Probability-Possibility Transformations, Triangular Fuzzy Sets, and Probabilistic Inequalities, Reliable Computing, vol.10, issue.4, pp.273-297, 2004.
DOI : 10.1023/B:REOM.0000032115.22510.b5
URL : http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.104.6216

I. Couso, S. Montes, and P. Gil, THE NECESSITY OF THE STRONG ??-CUTS OF A FUZZY SET, International Journal of Uncertainty, Fuzziness and Knowledge-Based Systems, vol.3, issue.02, pp.249-262, 2001.
DOI : 10.1016/0165-0114(89)90240-6

A. Neumaier, Clouds, Fuzzy Sets, and Probability Intervals, Reliable Computing, vol.10, issue.4, pp.249-272, 2004.
DOI : 10.1023/B:REOM.0000032114.08705.cd
URL : http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.20.3756

C. Baudrit and D. Dubois, Practical representations of incomplete probabilistic knowledge, Computational Statistics & Data Analysis, vol.51, issue.1, pp.86-108, 2006.
DOI : 10.1016/j.csda.2006.02.009
URL : http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.411.3722

P. Smets, Possibilistic inference from statistical data, Proc Second World Conference on Mathematics at the Service of Man, pp.611-613, 1982.

D. Dubois, S. Moral, and H. Prade, A semantics for possibility theory based on likelihoods, Proceedings of 1995 IEEE International Conference on Fuzzy Systems. The International Joint Conference of the Fourth IEEE International Conference on Fuzzy Systems and The Second International Fuzzy Engineering Symposium, pp.359-380, 1997.
DOI : 10.1109/FUZZY.1995.409891
URL : http://doi.org/10.1006/jmaa.1997.5193

G. Coletti and R. Scozzafava, Coherent conditional probability as a measure of uncertainty of the relevant conditioning events LNAI 2711, Proc 7th Eur Conf on Symbolic and Quantitative Approaches to Reasoning under Uncertainty, pp.407-418, 2003.

M. Aickin, Connecting Dempster?Shafer belief functions with likelihood-based inference, Synthese, vol.123, issue.3, pp.347-364, 2000.
DOI : 10.1023/A:1005287422506

G. Upton and I. Cook, Gauss inequality In: A dictionary of statistics, 2008.

D. Dubois and H. Prade, Formal Representations of Uncertainty, pp.85-156, 2009.
DOI : 10.1002/9780470611876.ch3
URL : http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.321.8335

P. Smets and R. Kennes, The transferable belief model, Artificial Intelligence, vol.66, issue.2, pp.191-234, 1994.
DOI : 10.1016/0004-3702(94)90026-4
URL : https://hal.archives-ouvertes.fr/hal-01185821

P. Smets, Constructing the Pignistic Probability Function in a Context of Uncertainty, Uncertainty in artificial intelligence, vol.5, pp.29-39, 1990.
DOI : 10.1016/B978-0-444-88738-2.50010-5

S. Shapley, A value for n-person games, Contributions to the theory of games, pp.307-317, 1953.
DOI : 10.1017/cbo9780511528446.003

D. Dubois, H. Prade, and P. Smets, A definition of subjective possibility, International Journal of Approximate Reasoning, vol.48, issue.2, pp.352-364, 2008.
DOI : 10.1016/j.ijar.2007.01.005

D. Dubois and H. Prade, Unfair coins and necessity measures: Towards a possibilistic interpretation of histograms, Fuzzy Sets and Systems, vol.10, issue.1-3, pp.15-20, 1983.
DOI : 10.1016/S0165-0114(83)80099-2

L. Zadeh, Fuzzy sets, Information and Control, vol.8, issue.3, pp.338-353, 1965.
DOI : 10.1016/S0019-9958(65)90241-X