Title :
Non-monotone averaging aggregation
Author :
Beliakov, Gleb ; Yu, Shui ; Paternain, Daniel
Author_Institution :
Sch. of Inf. Technol., Deakin Univ., Melbourne, VIC, Australia
Abstract :
We advance the theory of aggregation operators and introduce non-monotone aggregation methods based on minimization of a penalty for inputs disagreements. The application in mind is processing data sets which may contain noisy values. Our aim is to filter out noise while at the same time preserve signs of unusual values. We review various methods of robust estimators of location, and then introduce a new estimator based on penalty minimisation.
Keywords :
fuzzy set theory; minimisation; aggregation operators; data sets processing; noise filter; non monotone averaging aggregation; penalty minimisation; robust estimators; Cognition; Fuzzy systems; Least squares approximation; Minimization; Noise; Optimization; Robustness; Aggregation operator; estimators of location; outliers; penalty function;
Conference_Titel :
Fuzzy Systems (FUZZ), 2011 IEEE International Conference on
Conference_Location :
Taipei
Print_ISBN :
978-1-4244-7315-1
Electronic_ISBN :
1098-7584
DOI :
10.1109/FUZZY.2011.6007643
