Non-monotone averaging aggregation

IEEE International Conference on Fuzzy Systems

Volumn , Issue , 2011, Pages 2905-2908

  Beliakov, Gleb ^a   Yu, Shui ^a   Paternain, Daniel ^b  

^a DEAKIN UNIVERSITY   (Australia)

^b PUBLIC UNIVERSITY OF NAVARRE   (Spain)

Author keywords

Aggregation operator; estimators of location; outliers; penalty function

Indexed keywords

AGGREGATION METHODS; AGGREGATION OPERATOR; DATA SETS; OUTLIERS; PENALTY FUNCTION; ROBUST ESTIMATORS;

DATA HANDLING; FUZZY SYSTEMS; MATHEMATICAL OPERATORS;

ESTIMATION;

EID: 80053067110     PISSN: 10987584     EISSN: None     Source Type: Conference Proceeding    
DOI: 10.1109/FUZZY.2011.6007643     Document Type: Conference Paper

References (12)

1. G. Beliakov, A. Pradera, and T. Calvo, Aggregation Functions: A Guide for Practitioners. Heidelberg, Berlin, New York: Springer, 2007.
2. Y. Torra and V. Narukawa, Modeling Decisions. Information Fusion and Aggregation Operators. Springer, 2007.
3. M. Grabisch, J.-L. Marichal, R. Mesiar, and E. Pap, Aggregation Functions. Cambridge: Cambridge University Press, 2009.
4. T. Calvo and G. Beliakov, "Aggregation functions based on penalties," Fuzzy Sets and Systems, vol. 161, pp. 1420-1436, 2010.
5. T. Calvo, R. Mesiar, and R. Yager, "Quantitative weights and aggregation," IEEE Trans. on Fuzzy Systems, vol. 12, pp. 62-69, 2004.
6. R. Yager and A. Rybalov, "Understanding the median as a fusion operator," Int. J. General Syst., vol. 26, pp. 239-263, 1997.
7. P. Rousseeuw and A. Leroy, Robust Regression and Outlier Detection. New York: Wiley, 2003.
8. P. Rousseeuw, "Least median of squares regression," Journal of the American Statistical Association, vol. 79, pp. 871-880, 1984.
9. S. Pijavski, "An algorithm for finding the absolute extremum of a function," USSR Comput. Math. and Math. Phys., vol. 2, pp. 57-67, 1972.
10. G. Beliakov, "Extended cutting angle method of global optimization," Pacific J. of Optimization, vol. 4, pp. 153-176, 2008.
11. G. Beliakov and J. Ugon, "Implementation of novel methods of global and non-smooth optimization: GANSO programming library," Optimization, vol. 56, pp. 543-546, 2007.
12. G. Beliakov, "The cutting angle method - a tool for constrained global optimization," Optimization Methods and Software, vol. 19, pp. 137-151, 2004.