On the meta-knowledge Choquet integral and related models

International Journal of Intelligent Systems

Volumn 20, Issue 10, 2005, Pages 1017-1036

  Torra, Vicenç ^a   Narukawa, Yasuo ^b  

^a ARTIFICIAL INTELLIGENCE RESEARCH INSTITUTE IIIA CSIC   (Spain)

^b Toho Gakuen   (Japan)

Author keywords

[No Author keywords available]

Indexed keywords

DECISION MAKING; FUNCTIONS; INFORMATION ANALYSIS; MATHEMATICAL MODELS; MATHEMATICAL OPERATORS;

CHOQUET INTEGRAL; INFORMATION AGGREGATION;

KNOWLEDGE ENGINEERING;

EID: 27844592609     PISSN: 08848173     EISSN: None     Source Type: Journal    
DOI: 10.1002/int.20104     Document Type: Article

References (39)

1. Calvo T, Mayor G, Mesiar R. Aggregation operators. Heidelberg, New York: Physica-Verlag; 2002.
2. Alsina C, Trillas E, Moraga C. Combining degrees of impairment: The case of the index of Balthazard. Mathware Soft Comput 2003;10:23-41.
3. Yang X, Zhang M. Rational constraints for fusion methods in metasearch engine systems. Int J Intell Syst 2004;19:177-190.
4. Yager RR. On ordered weighted averaging aggregation operators in multi-criteria decision making. IEEE Trans SMC 1988;18:183-190.
5. Pelaez, JI, Doña JM. Majority additive-ordered weighting averaging: A new neat ordered weighting averaging operator based on the majority process. Int J Intell Syst 2003;18: 469-481.
6. Herrera F, Herrera-Viedma E, Chiclana F. A study of the origin and uses of the ordered weighted geometric operator in multicriteria decision making. Int J Intell Syst 2003;18:689-707.
7. Yager RR. Quantifier guided aggregation using OWA operators. Int J Intell Syst 1996;11:49-73.
8. Domingo-Ferrer J, Torra V. Median-based aggregation operators for prototype construction in ordinal scales. Int J Intell Syst 2003;18:63-65.
9. Jacas J, Recasens J. Aggregation of T-transitive relations. Int J Intell Syst 2003;18:1193-1214.
10. Van de Walle B. A relational analysis of decision makers' preferences. Int J Intell Syst 2003;18:775-791.
11. Choquet G. Theory of capacities. Ann Inst Fourier 1954;5:131-296.
12. Sugeno M. Theory of fuzzy integrals and its application. Doctoral Thesis, Tokyo Institute of Technology; 1974.
13. Murofushi T, Soneda S. Techniques for reading fuzzy measures (III): Interaction index. In: 9th Japanese Fuzzy System Symp, Hokkaido University, Hokkaido, Japan; 1993. pp 693-696.
14. Mesiar R, Vivona D. Two-step integral with respect to fuzzy measure. Tatra Mt Math Publ 1999;16:359-368.
15. Murofushi T, Narukawa Y. A characterization of multi-step discrete Choquet integral. In: 6th Int Conf Fuzzy Sets Theory and Its Applications, Abstracts, Slovak Technical University Bratislava, Slovak Replublic; 2002. p 94.
16. Narukawa Y, Torra V. Twofold integral and multi-step Choquet integral. Kybernetika 2004;40:39-50.
17. Grabisch M, Labreuche C. Bi-capacities. In: Proc 1st Joint Int Conf on Soft Computing and Intelligent Systems and 3rd Int Symp on Advanced Intelligent Systems, University of Tsukuba, Tsukuba, Japan; 2002.
18. Greco S, Matarazzo B, Slowinski R. Bipolar Sugeno and Choquet integrals. In: Proc Workshop on Informations Systems of the EURO Working Group on Fuzzy Sets, Varenna, Italy; 2002. pp 191-196.
19. Bilbao JM. Cooperative games on combinatorial structures. Dordrecht: Kluwer Academic Publishing; 2000.
20. Grabisch M. Symmetric and asymmetric fuzzy integral: The ordinal case. In: 6th Int Conf on Soft Computing (IIZUKA'2000), IIZUKA, Japan, October; 2000.
21. Narukawa Y, Murofushi T. The n-step Choquet integral on finite spaces. In: Proc 9th Int Conf on Information Processing and Management of Uncertainty in Knowledge-Based Systems, University of Annecy, Annecy, France; 2002. pp 539-543.
22. Magdalena L. Hierarchical fuzzy control of a complex system using meta-knowledge. In: Proc 8th Int Conf Information Processing and Management of Uncertainty in Knowledge-Based Systems, Polytechnical University of Madrid, Madrid, Spain; 2000. pp 630-637.
23. Torra V. A review of the construction of hierarchical fuzzy systems. Int J Intell Syst 2002;17:531-543.
24. Ogura H, Odaka T. Structure of artificial intelligence systems. Kindaikagakusha, Tokyo; 2001 (in Japanese).
25. Edwards E. Probability-preferences in gambling. Am J Psych 1953;66:349-364.
26. Narukawa Y, Torra V. Fuzzy measure and probability distributions: Distorted probabilities. IEEE Trans Fuzzy Syst. In press.
27. Torra V. The weighted OWA operator. Int J Intell Syst 1997;12:153-166.
28. Murofushi T, Narukawa Y. A characterization of multi-level discrete Choquet integral over a finite set (in Japanese). In: Proc 7th Workshop on Evaluation of Heart and Mind; 2002. pp 33-36.
29. Narukawa Y. A study of fuzzy measure and Choquet integral (in Japanese). Master Thesis, Tokyo Institute of Technology; 1990.
30. Chateauneuf A, Jaffray J-Y. Some characterizations of lower probabilities and other monotone capacities through the use of Mobius inversion. Math Soc Sci 1989;17:263-283.
31. Murofushi T, Narukawa Y. A characterization of multi-level discrete Choquet integral over a finite set (in Japanese). In: Proc 7th Workshop on Evaluation of Heart and Mind, Japan; 2002. pp 33-36.
32. Ovchinnikov S. Max-min representation of piecewise linear functions. Contrib Algebra Geom 2002;43:297-302.
33. Murofushi T, Sugeno M, Machida M. Non-monotonic fuzzy measures and the Choquet integral. Fuzzy Sets Syst 1994;64:73-86.
34. Tversky A, Kahneman D. Advances in prospect theory: Cumulative representation of uncertainty. J Risk Uncert 1992;5:297-323.
35. Grabisch M, De Baets B, Fodor J. On symmetric pseudo-additions and pseudo-multiplications: Is it possible to build rings on [- 1,+1]? In: Proc Ninth Int Conf on Information Processing and Management of Uncertainty in Knowledge-Based Systems, Vol. II, University of Annecy, Annecy, France; 2002. pp 1349-1355.
36. Huwendiek O, Brockmann W. Function approximation with decomposed fuzzy systems. Fuzzy Sets Syst 1999;101:273-286.
37. Buckley JJ. Sugeno type controllers are universal controllers. Fuzzy Sets Syst 1993;53:299-303.
38. Torra V. OWA operators in data modeling and reidentification. IEEE Trans Fuzzy Syst 2004;12:652-660.
39. Calvo T, Mesiar R, Yager RR. Quantitative weights and aggregation. IEEE Trans Fuzzy Syst 2004;12:62-69.