\begin{thebibliography}{}

\bibitem[\protect\citeauthoryear{Bacchus}{Bacchus}{1990}]{Bacchus90}
Bacchus, F. (1990),
\newblock {\em Representing and Reasoning with Probabilistic Knowledge: A
  Logical Approach},
\newblock Cambridge: MIT Press.

\bibitem[\protect\citeauthoryear{Berger}{Berger}{1985}]{Berger85Book}
Berger, J.~O. (1985),
\newblock {\em Statistical Decision Theory and Bayesian Analysis},
\newblock New York: Springer-Verlag.

\bibitem[\protect\citeauthoryear{Berger}{Berger}{1990}]{Berger90}
Berger, J.~O. (1990),
\newblock ``Robust {B}ayesian analysis: Sensitivity to the prior,''
\newblock {\em Journal of Statistical Planning and Inference\/}~{\em 25},
  303--328.

\bibitem[\protect\citeauthoryear{Betr\`o and Guglielmi}{Betr\`o and
  Guglielmi}{1996}]{Betro96}
Betr\`o, B. and A.~Guglielmi (1996),
\newblock ``Numerical robust {B}ayesian analysis under generalized moment
  conditions,''
\newblock In J.~O. Berger, B.~Betro, E.~Moreno, L.~R. Pericchi, F.~Ruggeri,
  G.~Salinetti, and L.~Wasserman (Eds.),
  {\em Bayesian Robustness: Proceedings
  of the Workshop on Bayesian Robustness}, Volume~29 of {\em Lecture Notes ---
  Monograph Series}, pp.\  3--16. Hayward, California: Institute of
  Mathematical Statistics.

\bibitem[\protect\citeauthoryear{Breese and Fertig}{Breese and
  Fertig}{1991}]{Breese91}
Breese, J.~S. and K.~W. Fertig (1991),
\newblock ``Decision making with interval influence diagrams,''
\newblock In P.~P. Bonissone, M.~Henrion, L.~N. Kanal, and J.~F. Lemmer (Eds.),
  {\em Uncertainty in Artificial Intelligence 6}, pp.\  467--478.
  North-Holland: Elsevier Science.

\bibitem[\protect\citeauthoryear{Chrisman}{Chrisman}{1995}]{Chrisman95}
Chrisman, L. (1995),
\newblock ``Incremental conditioning of lower and upper probabilities,''
\newblock {\em International Journal of Approximate Reasoning\/}~{\em 13\/}(1),
  1--25.

\bibitem[\protect\citeauthoryear{Chrisman}{Chrisman}{1996a}]{Chrisman96Indepen%
dence}
Chrisman, L. (1996a),
\newblock ``Independence with lower and upper probabilities,''
\newblock In E. Horvitz and F. Jensen (Eds.),
{\em XII Conference on Uncertainty in Artificial Intelligence\/},
pp.\ 169--177. San Francisco: Morgan Kaufmann.

\bibitem[\protect\citeauthoryear{Chrisman}{Chrisman}{1996b}]{Chrisman96}
Chrisman, L. (1996b),
\newblock ``Propagation of 2-monotone lower probabilities on an undirected 
graph,''
\newblock In E. Horvitz and F. Jensen (Eds.),
{\em XII Conference on Uncertainty in Artificial Intelligence\/},
pp.\  178--186. San Francisco: Morgan Kaufmann.

\bibitem[\protect\citeauthoryear{de~Campos and Moral}{de~Campos and
  Moral}{1995}]{deCamposUAI95}
de~Campos, L. and S.~Moral (1995),
\newblock ``Independence concepts for convex sets of probabilities,''
\newblock In  P. Besnards and S. Hanks (Eds.),
{\em XI Conference on Uncertainty in Artificial Intelligence\/},
pp.\ 108--115. San Francisco: Morgan Kaufmann.

\bibitem[\protect\citeauthoryear{Dempster}{Dempster}{1967}]{Dempster67}
Dempster, A.~P. (1967),
\newblock ``Upper and lower probabilities induced by a multivalued mapping,''
\newblock {\em Annals of Mathematical Statistics\/}~{\em 38}, 325--339.

\bibitem[\protect\citeauthoryear{Dubois, Prade, and Smets}{Dubois
  et~al.}{1996}]{DuboisSMC96}
Dubois, D., H.~Prade, and P.~Smets (1996, May),
\newblock ``Representing partial ignorance,''
\newblock {\em IEEE Transactions on Systems, Man and Cybernetics A\/}~{\em
  26\/}(3), 361--377.

\bibitem[\protect\citeauthoryear{Fagin, Halpern, and Megiddo}{Fagin
  et~al.}{1990}]{Halpern90}
Fagin, R., J.~Y. Halpern, and N.~Megiddo (1990),
\newblock ``A logic for reasoning about probabilities,''
\newblock {\em Information and Computation\/}~{\em 87}, 78--128.

\bibitem[\protect\citeauthoryear{Fine}{Fine}{1988}]{Fine88}
Fine, T.~L. (1988),
\newblock ``Lower probability models for uncertainty and nondeterministic
  processes,''
\newblock {\em Journal of Statistical Planning and Inference\/}~{\em 20},
  389--411.

\bibitem[\protect\citeauthoryear{Frisch and Haddawy}{Frisch and
  Haddawy}{1994}]{Frisch94}
Frisch, A.~M. and P.~Haddawy (1994),
\newblock ``Anytime deduction for probabilistic logic,''
\newblock {\em Artificial Intelligence\/}~{\em 69}, 93--122.

\bibitem[\protect\citeauthoryear{Giron and Rios}{Giron and
  Rios}{1980}]{Giron80}
Giron, F.~J. and S.~Rios (1980),
\newblock ``Quasi-{B}ayesian behaviour: A more realistic approach to decision
  making?''
\newblock In J.~M. Bernardo, J.~H. DeGroot, D.~V. Lindley, and A.~F.~M. Smith
  (Eds.), {\em Bayesian Statistics}, pp.\  17--38. Valencia, Spain: University
  Press.

\bibitem[\protect\citeauthoryear{Good}{Good}{1983}]{Good83}
Good, I.~J. (1983),
\newblock {\em Good Thinking: The Foundations of Probability and its
  Applications},
\newblock Minneapolis: University of Minnesota Press.

\bibitem[\protect\citeauthoryear{{Kyburg Jr.}}{{Kyburg
  Jr.}}{1987}]{Kyburg87}
{Kyburg Jr.}, H.~E. (1987),
\newblock ``Bayesian and non-{B}ayesian evidential updating,''
\newblock {\em Artificial Intelligence\/}~{\em 31}, 271--293.

\bibitem[\protect\citeauthoryear{Halpern and Fagin}{Halpern and
  Fagin}{1992}]{Halpern92}
Halpern, J.~Y. and R.~Fagin (1992),
\newblock ``Two views of belief: Belief as generalized probability and belief as
  evidence,''
\newblock {\em Artificial Intelligence\/}~{\em 54}, 275--317.

\bibitem[\protect\citeauthoryear{Ibaraki}{Ibaraki}{1981}]{Ibaraki81}
Ibaraki, T. (1981),
\newblock ``Solving mathematical programming problems with fractional objective
  functions,''
\newblock In S.~Schaible and W.~T. Ziemba (Eds.), {\em Generalized Concavity in
  Optimization and Economics}, pp.\  440--472. New York: Academic Press.

\bibitem[\protect\citeauthoryear{Jaumard, Hansen, and de~Arag\~ao}{Jaumard
  et~al.}{1991}]{Jaumard91}
Jaumard, B., P.~Hansen, and M.~P. de~Arag\~ao (1991, Spring),
\newblock ``Column generation methods for probabilistic logic,''
\newblock {\em ORSA Journal on Computing\/}~{\em 3\/}(2), 135--148.

\bibitem[\protect\citeauthoryear{Kadane}{Kadane}{1984}]{Kadane84}
Kadane, J.~B. (1984),
\newblock {\em Robustness of Bayesian Analyses}, Volume~4 of {\em Studies in
  Bayesian econometrics},
\newblock New York: Elsevier Science Pub. Co.

\bibitem[\protect\citeauthoryear{Lavine}{Lavine}{1991}]{Lavine91}
Lavine, M. (1991, June),
\newblock ``Sensitivity in {B}ayesian statistics, the prior and the likelihood,''
\newblock {\em Journal of the American Statistical Association\/}~{\em
  86\/}(414), 396--399.

\bibitem[\protect\citeauthoryear{Levi}{Levi}{1980}]{Levi80}
Levi, I. (1980),
\newblock {\em The Enterprise of Knowledge},
\newblock Cambridge, Massachusetts: The MIT Press.

\bibitem[\protect\citeauthoryear{Lukasiewicz}{Lukasiewicz}{1995}]{Lukasiewicz9%
5}
Lukasiewicz, T. (1995),
\newblock ``Uncertain reasoning in concept lattices,''
\newblock In C. Froidevaux and J. Kohlas (Eds.),
{\em 3rd European Conference on Symbolic and Quantitative Approaches
  to Reasoning with Uncertainty\/}, pp.\ 293--300.
Fribourg, Switzerland.

\bibitem[\protect\citeauthoryear{Lukasiewicz}{Lukasiewicz}{1996}]{Lukasiewicz9%
6}
Lukasiewicz, T. (1996),
\newblock {\em Precision of Probabilistic Deduction under Taxonomic Knowledge},
\newblock Ph.\ D. thesis, Universitat Augsburg, Germany.

\bibitem[\protect\citeauthoryear{Luo, Yu, Lobo, Wang, and Pham}{Luo
  et~al.}{1996}]{Luo96}
Luo, C., C.~Yu, J.~Lobo, G.~Wang, and T.~Pham (1996),
\newblock ``Computation of best bounds of probabilities from uncertain data,''
\newblock {\em Computational Intelligence\/}~{\em 12\/}(4), 541--566.

\bibitem[\protect\citeauthoryear{Nilsson}{Nilsson}{1986}]{Nilsson86}
Nilsson, N.~J. (1986),
\newblock ``Probabilistic logic,''
\newblock {\em Artificial Intelligence\/}~{\em 28}, 71--87.

\bibitem[\protect\citeauthoryear{Pacifico, Salinetti, and Tardella}{Pacifico
  et~al.}{1994}]{Pacifico94}
Pacifico, M.~P., G.~Salinetti, and L.~Tardella (1994),
\newblock ``Fractional optimization in {B}ayesian robustness,''
\newblock Technical Report Serie A n. 23, Dipartamento di Statistica,
  Probabilita e Statistiche Applicate, Universita di Roma La Sapienza, Italy.

\bibitem[\protect\citeauthoryear{Pericchi and Perez}{Pericchi and
  Perez}{1994}]{Pericchi94}
Pericchi, L.~R. and M.~E. Perez (1994),
\newblock ``Posterior robustness with more than one sampling model,''
\newblock {\em Journal of Statistical Planning and Inference\/}~{\em 40},
  279--294.

\bibitem[\protect\citeauthoryear{Ruspini}{Ruspini}{1987}]{Ruspini87}
Ruspini, E.~H. (1987),
\newblock ``The logical foundations of evidential reasoning,''
\newblock Technical Report SRIN408, SRI International, California,
United States.

\bibitem[\protect\citeauthoryear{Salo}{Salo}{1996}]{Salo96SMC}
Salo, A.~A. (1996, November),
\newblock ``Tighter estimates for the posteriors of imprecise prior and
  conditional probabilities,''
\newblock {\em Transactions on Systems, Man, and Cybernetics A\/}~{\em
  26\/}(6), 820--825.

\bibitem[\protect\citeauthoryear{Schaible and Ziemba}{Schaible and
  Ziemba}{1981}]{Schaible81}
Schaible, S.~I. and W.~T. Ziemba (1981),
\newblock {\em Generalized Concavity in Optimization and Economics},
\newblock Academic Press.

\bibitem[\protect\citeauthoryear{Seidenfeld, Schervish, and Kadane}{Seidenfeld
  et~al.}{1995}]{Seidenfeld95}
Seidenfeld, T., M.~J. Schervish, and J.~B. Kadane (1995),
\newblock ``A representation of partially ordered preferences,''
\newblock {\em Annals of Statistics\/}~{\em 23\/}(6), 2168--2217.

\bibitem[\protect\citeauthoryear{Smith}{Smith}{1961}]{Smith61}
Smith, C. A.~B. (1961),
\newblock ``Consistency in statistical inference and decision,''
\newblock {\em Journal Royal Statistical Society B\/}~{\em 23}, 1--25.

\bibitem[\protect\citeauthoryear{Snow}{Snow}{1991}]{Snow91SMC}
Snow, P. (1991, March/April),
\newblock ``Improved posterior probability estimates from prior and conditional
  linear constraint systems,''
\newblock {\em Transactions on Systems, Man, and Cybernetics A\/}~{\em
  21\/}(2), 464--469.

\bibitem[\protect\citeauthoryear{Snow}{Snow}{1996}]{Snow96}
Snow, P. (1996, September),
\newblock ``The posterior probabilities of linearly constrained priors and
  interval-bounded conditionals,''
\newblock {\em IEEE Transactions on Systems, Man and Cybernetics\/}~{\em
  26A\/}(5), 655--659.

\bibitem[\protect\citeauthoryear{Suppes}{Suppes}{1974}]{Suppes74}
Suppes, P. (1974),
\newblock ``The measurement of belief,''
\newblock {\em Journal Royal Statistical Society B\/}~{\em 2}, 160--191.

\bibitem[\protect\citeauthoryear{Thone, Guntzer, and Kie$\beta$ling}{Thone
  et~al.}{1992}]{Thone92}
Thone, H., U.~Guntzer, and W.~Kie$\beta$ling (1992),
\newblock ``Towards precision of probabilistic bounds propagation,''
\newblock In D. Dubois, M. P. Wellman, B. D'Ambrosio and P. Smets (Eds.),
{\em VIII Conference on 
Uncertainty in Artificial Intelligence\/}, pp.\ 315--322.
San Francisco: Morgan Kaufmann.

\bibitem[\protect\citeauthoryear{Walley}{Walley}{1981}]{Walley81}
Walley, P. (1981),
\newblock ``Coherent lower (and upper) probabilities,''
\newblock Technical Report Statistics Report 23, University of Warwick,
  Coventry.

\bibitem[\protect\citeauthoryear{Walley}{Walley}{1991}]{Walley91}
Walley, P. (1991),
\newblock {\em Statistical Reasoning with Imprecise Probabilities},
\newblock New York: Chapman and Hall.

\bibitem[\protect\citeauthoryear{Walley}{Walley}{1996}]{Walley96}
Walley, P. (1996),
\newblock ``Measures of uncertainty in expert systems,''
\newblock {\em Artificial Intelligence\/}~{\em 83}, 1--58.

\bibitem[\protect\citeauthoryear{Wasserman}{Wasserman}{1990}]{Wasserman90}
Wasserman, L.~A. (1990),
\newblock ``Prior envelopes based on belief functions,''
\newblock {\em Annals of Statistics\/}~{\em 18\/}(1), 454--464.

\bibitem[\protect\citeauthoryear{Wasserman}{Wasserman}{1992}]{Wasserman92}
Wasserman, L. A. (1992),
\newblock ``Recent methodological advances in robust {B}ayesian inference,''
\newblock In J.~M. Bernardo, J.~O. Berger, A.~P. Dawid, and A.~F.~M. Smith
  (Eds.), {\em Bayesian Statistics 4}, pp.\  483--502. Oxford University Press.

\bibitem[\protect\citeauthoryear{Wasserman and Kadane}{Wasserman and
  Kadane}{1990}]{WassermanKadane90}
Wasserman, L.~A. and J.~B. Kadane (1990),
\newblock ``Bayes' theorem for {C}hoquet capacities,''
\newblock {\em Annals of Statistics\/}~{\em 18\/}(3), 1328--1339.

\bibitem[\protect\citeauthoryear{{White III}}{{White III}}{1986}]{White86}
{White III}, C.~C. (1986, July/August),
\newblock ``A posteriori representations based on linear inequality 
descriptions of a priori and conditional probabilities,''
\newblock {\em IEEE Transactions on Systems, Man and Cybernetics\/}~{\em
  SMC-16\/}(4), 570--573.

\bibitem[\protect\citeauthoryear{Zaffalon}{Zaffalon}{1997}]{Zaffalon97}
Zaffalon, M. (1997, February),
\newblock {\em Inferenze e Decisioni in Condizioni di Incertezza con Modelli
  Grafici Orientati},
\newblock Ph.\ D. thesis, Universit\`a di Milano, Milan, Italy.

\end{thebibliography}
