Fuzzy robust estimation of central location

The problem of a new robust algorithm for estimation of central location ha s been described in a mathematically simpler way using the fuzzy sets theor y. It was compared with ordinary mean estimator and other robust estimators - median, 5% trimmed mean and Huber-, Tukey-, Hampel-. and Andrews-type M- estimators. The performance of Fuzzy 1-means algorithm (FM) proposed is dem onstrated by applying it to different data sets from published literature a nd has been shown to exceed that of conventional ordinary mean estimator an d equals or often exceeds that of the most robust estimators. (C) 2001 Else vier Science B.V. All rights reserved.