Qualitative capacities as imprecise possibilities

Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)

Volumn 7958 LNAI, Issue , 2013, Pages 169-180

  Dubois, Didier ^a   Prade, Henri ^a   Rico, Agnès ^b  

^a UNIVERSITÉ PAUL SABATIER   (France)

^b UNIVERSITÉ LYON 1   (France)

Author keywords

[No Author keywords available]

Indexed keywords

DECISION MAKING; PROBABILITY; SEMANTICS;

IMPRECISE PROBABILITY THEORY; LOWER BOUNDS; MODAL LOGIC; MULTI CRITERIA DECISION MAKING; MULTI-SOURCES; NEIGHBORHOOD SEMANTICS; POSSIBILITY MEASURE; SET FUNCTION;

SET THEORY;

EID: 84880737313     PISSN: 03029743     EISSN: 16113349     Source Type: Book Series    
DOI: 10.1007/978-3-642-39091-3_15     Document Type: Conference Paper

References (22)

1. Banerjee, M., Dubois, D.: A simple modal logic for reasoning about revealed beliefs. In: Sossai, C., Chemello, G. (eds.) ECSQARU 2009. LNCS (LNAI), Vol. 5590, pp. 805-816. Springer, Heidelberg (2009)
2. Banon, G.: Constructive decomposition of fuzzy measures in terms of possibility and necessity measures. In: Proc. VIth IFSA World Congress, São Paulo, Brazil, vol. I, pp. 217-220 (1995)
3. Belnap, N.D.: How a computer should think. In: Ryle, G. (ed.) Contemporary Aspects of Philosophy, pp. 30-56. Oriel Press, Boston (1977)
4. Chellas, B.F.: Modal logic: an Introduction. Cambridge University Press, Cambridge (1980)
5. Coletti, G., Scozzafava, R., Vantaggi, B.: Inferential processes leading to possibility and necessity. Information Sciences (2012)
6. Dempster, A.P.: Upper and lower probabilities induced by a multivalued mapping. Annals of Mathematical Statistics 38, 325-339 (1967)
7. Dubois, D.: Fuzzy Measures on Finite Scales as Families of Possibility Measures. In: Proc. European Society for Fuzzy Logic and Technology (EUSFLAT-LFA), Aix-Les-Bains, France (July 2011)
8. Dubois, D.: Reasoning about ignorance and contradiction: many-valued logics versus epis-temic logic. Soft Computing 16(11), 1817-1831 (2012)
9. Dubois, D., Fargier, H.: Making Discrete Sugeno Integrals More Discriminant. Int. J. of Approximate Reasoning 50, 880-898 (2009)
10. Dubois, D., Fargier, H.: Capacity refinements and their application to qualitative decision evaluation. In: Sossai, C., Chemello, G. (eds.) ECSQARU 2009. LNCS (LNAI), Vol. 5590, pp. 311-322. Springer, Heidelberg (2009)
11. Dubois, D., Prade, H.: Upper and lower possibilities induced by a multivalued mapping, In: Proc. IFAC Symp. on Fuzzy Information, Knowledge Representation and Decision Analysis, Marseille, July 19-21, pp. 174-152 (1983)
12. Dubois, D., Prade, H.: Evidence measures based on fuzzy information. Automatica 21, 547-562 (1985) (Pubitemid 15587153)
13. Dubois, D., Prade, H.: Aggregation of possibility measures. In: Kacprzyk, J., Fedrizzi, M. (eds.) Multiperson Decision Making using Fuzzy Sets and Possibility Theory, pp. 55-63. Kluwer, Dordrecht (1990)
14. Grabisch, M.: On the representation of k-decomposable measures. In: Proc. 7th IFSA World Congress, Prague, Vol. 1, pp. 478-483 (1997)
15. Grabisch, M.: The Moebius transform on symmetric ordered structures and its application to capacities on finite sets. Discrete Mathematics 287, 17-34 (2004)
16. Marichal, J.-L., Roubens, M.: Entropy of Discrete Fuzzy Measures. Int. J. of Uncertainty, Fuzziness and Knowledge-Based Systems 8(6), 625-640 (2000)
17. Mesiar, R.: k-order pan-discrete fuzzy measures. In: Proc. 7th IFSA World Congress, Prague, Vol. 1, pp. 488-490 (1997)
18. Prade, H., Rico, A.: Possibilistic Evidence. In: Liu, W. (ed.) ECSQARU 2011. LNCS (LNAI), Vol. 6717, pp. 713-724. Springer, Heidelberg (2011)
19. Shafer, G.: A Mathematical Theory of Evidence. Princeton University Press, Princeton (1976)
20. Schmeidler, D.: Core of exact games I. J. Math. Analysis and Appl. 40, 214-225 (1972)
21. Tsiporkova, E., De Baets, B.: A General Framework for Upper and Lower Possibilities and Necessities. Int. J. of Uncertainty, Fuzziness and Knowledge-Based Systems 6(1), 1-34 (1998)
22. Walley, P.: Statistical Reasoning with Imprecise Probabilities. Chapman and Hall (1991)