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Multi-attribute aggregation operators. (English) Zbl 1236.68236

Summary: This paper deals with the idea of aggregation. A new, enlarged notion of aggregation operator is given, along with a classification of classical properties into some main groups. The concept of multi-attribute aggregation operator, which incorporates many classical aggregation methods, is provided. An extension of different properties to multi-attribute aggregation operators is proposed.

MSC:

68T37 Reasoning under uncertainty in the context of artificial intelligence
03E72 Theory of fuzzy sets, etc.
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References:

[1] Calvo, T.; Beliakov, G., Aggregation functions based on penalties, Fuzzy sets and systems, 161, 1420-1436, (2010) · Zbl 1207.68384
[2] Calvo, T.; Mesiar, R.; Yager, R.R., Quantitative weights and aggregation, IEEE transactions on fuzzy systems, 12, 1, 62-69, (2004)
[3] Cutello, V.; Montero, J., Recursive connective rules, International journal of intelligent systems, 14, 3-20, (1999) · Zbl 0955.68103
[4] Ghiselli Ricci, R., Finitely and absolutely non idempotent aggregation operators, International journal of uncertainty, fuzziness and knowledge-based systems, 12, 2, 201-218, (2004) · Zbl 1134.68554
[5] Ghiselli Ricci, R., Asymptotically idempotent aggregation operators, International journal of uncertainty, fuzziness and knowledge-based systems, 17, 5, 611-631, (2009) · Zbl 1185.68717
[6] Grabisch, M.; Marichal, J.L.; Mesiar, R.; Pap, E., Aggregation functions, (2009), Cambridge University Press
[7] Klement, E.P.; Mesiar, R.; Pap, E., Triangular norms, (2000), Kluwer Academic Publishers Dordrecht · Zbl 0972.03002
[8] Klir, G.J.; Folger, T.A., Fuzzy sets, uncertainty, and information, (1988), Prentice-Hall International NY · Zbl 0675.94025
[9] Kolesárová, A.; Komorníková, M., Triangular norm-based iterative compensatory operators, Fuzzy sets and systems, 104, 1, 109-120, (1999) · Zbl 0931.68123
[10] Mesiar, R., Fuzzy set approach to the utility, preference relations, and aggregation operators, European journal of operational research, 176, 414-422, (2007) · Zbl 1137.91372
[11] Shortliffe, E.H., Computer-based medical consultations: MYCIN, (1976), North-Holland New York
[12] Yager, R.R., Uninorms in fuzzy systems modeling, Fuzzy sets and systems, 122, 167-175, (2001) · Zbl 0978.93007
[13] Yager, R.R.; Filev, D.P., Essentials of fuzzy modeling and control, (1994), Wiley New York
[14] Yager, R.R.; Filev, D.P., Induced ordered weighted averaging operators, IEEE transactions on systems, man, and cybernetics, part B: cybernetics, 29, 2, 141-150, (1999)
[15] Yager, R.R.; Rybalov, A., Noncommutative self-identity aggregation, Fuzzy sets and systems, 85, 73-82, (1997) · Zbl 0903.04005
[16] Yager, R.R.; Rybalov, A., Understanding the Median as a fusion operator, International journal of general systems, 26, 239-263, (1997) · Zbl 0980.68502
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