Capacity refinements and their application to qualitative decision evaluation

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

Volumn 5590 LNAI, Issue , 2009, Pages 311-322

  Dubois, Didier ^a   Fargier, Hélène ^a  

^a IRIT   (France)

Author keywords

Belief functions; Capacities; Decision evaluation; Sugeno integral

Indexed keywords

AGGREGATION OPERATION; BELIEF FUNCTION; BELIEF FUNCTIONS; CAPACITIES; CHOQUET INTEGRAL; DECISION EVALUATION; DECISION UNDER UNCERTAINTY; EVALUATION METHOD; LEXIMAX ORDERING; NON-ADDITIVE; PARETO DOMINANCE; PLAUSIBILITY FUNCTION; POSSIBILITY-AND-NECESSITY MEASURES; REFINEMENT TECHNIQUES; STRICT MONOTONICITY; SUGENO INTEGRAL; SUGENO INTEGRALS;

FUNCTION EVALUATION; INTEGRAL EQUATIONS; REFINING; SET THEORY;

QUALITY CONTROL;

EID: 69049116374     PISSN: 03029743     EISSN: 16113349     Source Type: Book Series    
DOI: 10.1007/978-3-642-02906-6_28     Document Type: Conference Paper

References (19)

1. Bouyssou, D., Marchant, T., Pirlot, M., Perny, P., Tsoukiàs, A., Vincke, P.: Evaluation and Decision Models: A critical perspective. Kluwer Academic Publishers, Dordrecht (2000)
2. Cohen, M., Jaffray, J.Y.: Rational behavior under complete ignorance. Econometrica 48(5), 1281-1299 (1980)
3. Deschamps, R., Gevers, L.: Leximin and utilitarian rules: A joint characterization. Journal of Economic Theory 17, 143-163 (1978)
4. Dubois, D., Fargier, H.: Lexicographic refinements of Sugeno integrals. In: Mellouli, K. (ed.) ECSQARU 2007. LNCS (LNAI), vol. 4724, pp. 611-622. Springer, Heidelberg (2007)
5. Dubois, D., Fargier, H.: Making Sugeno integrals more discriminant. Int. J. Approximate Reasoning (to appear, 2009)
6. Dubois, D., Fargier, H., Prade, H.: Refinements of the maximin approach to decision-making in a fuzzy environment. Fuzzy Sets Systems 81(1), 103-122 (1996)
7. Dubois, D., Fargier, H., Prade, H.: Possibilistic likelihood relations. In: Proceedings of IPMU 1998, pp. 1196-1203. EDK, Paris (1998)
8. Dubois, D., Prade, H., Roubens, M., Sabbadin, R., Marichal, J.-L.: The use of the discrete Sugeno integral in decision-making: a survey. Int. J. Uncertainty, Fuzziness and Knowledge-based Systems 9(5), 539-561 (2001)
9. Fargier, H., Sabbadin, R.: Qualitative decision under uncertainty: Back to expected utility. Artificial Intelligence 164, 245-280 (2005)
10. Grabisch, M.: The Moebius transform on symmetric ordered structures and its application to capacities on finite sets. Discrete Mathematics 287, 17-34 (2004)
11. Grabisch, M., Murofushi, T., Sugeno, M.: Fuzzy Measures and Integrals-Theory and Applications. Physica Verlag, Heidelberg (2000)
12. Halpern, J.Y.: Defining relative likelihood in partially-ordered preferential structures. Journal of A.I. Research 7, 1-24 (1997)
13. Marichal, J.-L.: On Sugeno integrals as an aggregation function. Fuzzy Sets and Systems 114(3), 347-365 (2000)
14. Pap, E.: Null-Additive Set-Functions. Kluwer Academic, Dordrecht (1995)
15. Savage, L.J.: The Foundations of Statistics. Wiley, New York (1954)
16. Shafer, G.: A Mathematical Theory of Evidence. Princeton University Press, Princeton (1976)
17. Wang, Z.: The autocontinuity of set function and the fuzzy integral. Journal of Mathematical Analysis and Applications 99, 195-218 (1984)
18. Wang, Z.: Asymptotic structural characteristics of fuzzy measures and their applications. Fuzzy Sets and Systems 16, 277-290 (1985)
19. Wong, S.K.M., Bollmann, P., Yao, Y.Y., Burger, H.C.: Axiomatization of qualitative belief structure. IEEE transactions on SMC 21(34), 726-734 (1991)