Paper:

# Analysis of New Aggregation Operators: Mean 3Π

## Andrei Doncescu^{*,**}, Sebastien Regis^{***}, Katsumi Inoue^{**},

and Richard Emilion^{****}

^{*}LAAS CNRS UPR 8001 Toulouse, France

^{**}National Institute of Informatics, 2-1-2 Hitotsubashi, Chiyoda-ku, Tokyo 101-8430, Japan

^{***}University of West French Indies Point-a-Pitre, France

^{****}University of Orleans, France

*mean*3Π. Whereas triple Π is an operator completely reinforced, the presented operator is a mean operator, which makes it more robust to noise.

*J. Adv. Comput. Intell. Intell. Inform.*, Vol.11 No.6, pp. 561-569, 2007.

- [1] I. Bloch, “Information combination operators for data fusion: a comparative fusion with classification,” Technical report, ENST, Paris, 1994. Rapport Technique.
- [2] I. Bloch and A. Hunter (Eds.), “Fusion: General concepts and characteristics,” International Journal of Intelligent Systems, 16, pp. 1107-1134, 2001.
- [3] T. Calvo, B. De Baets, and J. Fodor, “The functional equations of franck and alsina for uninorms and nullnorms,” Fuzzy Sets and Systems, 120, pp. 385-394, 2001.
- [4] D. Dubois and H. Prade, “La fusion d’informations imprécises,” Traitement du Signal, 11(6), pp. 447-458, 1994.
- [5] D. Dubois and H. Prade, “On the use of aggregation operations in information fusion process,” Fuzzy Sets and Systems, 142, pp. 143-161, 2004.
- [6] D. Dubois, H. Prade, and R. R. Yager (Eds.), “Readings in Fuzzy Sets for Intelligent Systems,” Morgan Kaufman, 1993.
- [7] N. Piera-Carreté, J. Aguilar-Martin, and M. Sanchez, “Mixed connectives between min and max,” In 8th Inter. Symp. on Multiple Valued Logic, 1988.
- [8] W. Silvert, “Symmetric summation: A class of operations on fuzzy sets,” IEEE Transactions on Systems, Man, Cybernetics, 9(10), pp. 657-659, 1979.
- [9] J. Waissman-Vilanova, “Construction d’un modèle comportemental pour la supervision de procédés: application à une station de traitement des eaux,” Ph.D. thesis, LASS - CNRS, November 2000.
- [10] R. Yager, “On ordered weighted averaging operators in multicriteria decision making,” IEEE Trans. Syst. Man, Cybern., pp. 183-190, Jan.-Feb. 1988.
- [11] R. Yager, “On mean type aggregation,” IEEE Transactions on Systems, Man and Cybernetics-Part B: Cybernetics, 26(2), pp. 209-221, April 1996.
- [12] R. Yager and A. Rybalov, “Uninorm aggregation operators,” Fuzzy Sets and Systems, 80(1), pp. 111-120, 1996.
- [13] R. Yager and A. Rybalov, “Full reinforcement operators in aggregation techniques,” IEEE Transactions on Systems, Man, Cybernetics-Part B: Cybernetics, 28(6), 1998.
- [14] H. Zimmerman and P. Zynso, “Latent connectives in human decision making,” Fuzzy Sets and Systems, 4, pp. 37-51, 1980.

This article is published under a Creative Commons Attribution-NoDerivatives 4.0 Internationa License.