A representation of a comonotone-∨-additive and monotone functional by two Sugeno integrals

Fuzzy Sets and Systems

Volumn 155, Issue 1 SPEC. ISS., 2005, Pages 77-88

  Pap, Endre ^a   Mihailović, Biljana P ^a  

^a UNIVERSITY OF NOVI SAD   (Serbia)

Author keywords

Cumulative prospect theory; Fuzzy measures; Sugeno integral

Indexed keywords

ALGEBRA; FUNCTIONS; INTEGRAL EQUATIONS; MATHEMATICAL MODELS; MATHEMATICAL OPERATORS;

CUMULATIVE PROSPECT THEORY; FINITE SETS; FUZZY MEASURES; SUGENO INTEGRAL;

FUZZY SETS;

EID: 23844525188     PISSN: 01650114     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.fss.2005.05.013     Document Type: Article

References (16)

1. P. Benvenuti, R. Mesiar, and D. Vivona Monotone set functions-based integrals E. Pap Handbook of Measure Theory 2002 Elsevier Amsterdam 1329 1379 (Chapter 33)
2. T. Calvo, G. Mayor, R. Mesiar (Eds.), Aggregation Operators, New Trends and Applications, Physica-Verlag, Heidelberg, 2002.
3. A. Chateauneuf, and P. Wakker An axiomatization of cumulative prospect theory for decision under risk J. Risk Uncertainty 18 1999 137 145
4. D. Denneberg Non-additive Measure and Integral 1994 Kluwer Academic Publishers Dordrecht
5. M. Grabisch Set function over finite sets: transformations and integrals E. Pap Handbook of Measure Theory 2002 Elsevier Amsterdam 1381 1401 (Chapter 34)
6. M. Grabisch The symmetric Sugeno integral Fuzzy Sets and Systems 139 2003 473 490
7. M. Grabisch The Möbius function on symmetric ordered structures and its applications to capacities on finite set Discrete Math. 287 1-3 2004 17 34
8. M. Grabisch, H.T. Nguyen, and E.A. Walker Fundamentals of Uncertainty Calculi with Applications to Fuzzy Inference 1995 Kluwer Academic Publishers Dordrecht, Boston, London
9. P.R. Halmos Measure Theory 1950 Springer New York, Heidelberg, Berlin
10. E.P. Klement, R. Mesiar, and E. Pap Measure-based aggregation operators Fuzzy Sets and Systems 142 2004 3 14
11. Y. Narukawa, T. Murofushi, Choquet integral representation and preference, Proc. IPMU'02, Annecy, France, 2002, pp. 747-753.
12. Y. Narukawa, T. Murofushi, and M. Sugeno Regular fuzzy measure and representation of comonotonically additive functional Fuzzy Sets and Systems 112 2000 177 186
13. E. Pap Null-Additive Set Functions 1995 Kluwer Academic Publishers Dordrecht
14. E. Pap (Ed.), Handbook of Measure Theory, vols. I,II, Elsevier, Amsterdam, 2002.
15. D. Schmeidler Integral representation without additivity Proc. Amer. Math. Soc. 97 1986 255 261
16. A. Tverski, and D. Kahneman Advances in prospect theory, Cumulative representation of uncertainty J. Risk Uncertainty 5 1992 297 323