The WOWA operator and the interpolation function W*: Chen and Otto's interpolation method revisited

Chen and Otto introduced in 1995 an interpolation method for defining membe rship functions from a set of points. In this paper we report some errors f ound in that algorithm and introduce some new conditions on the boundaries that are more general than the ones in the original work. We construct, in this way, a new interpolation method and prove that it has a smooth shape o n the boundaries. This study is related to the WOWA operator, an aggregation function that ge neralizes both the weighted mean and the OWA operator. WOWA uses an interpo lation method to calculate a vector of weights as a combination of other tw o vectors. The new method is introduced to implement this combination. (C) 2000 Elsevier Science B.V. All rights reserved.