UNDERSTANDING THE MEDIAN AS A FUSION OPERATOR

International Journal of General SystemsPublished 1 August 1997

Ronald R. Yager, Alexander Rybalov

DOI10.1080/03081079708945181

Source URL

Citations79

SJR quartileQ2

SJR score0.56

SNIP1.17

Abstract

Our concern is with the problem of finding the fused value of a collection of observations. A number of properties associated with a fusion operator are discussed. We consider the idea of using the minimization of a penalty function as a method for obtaining the fused value. A number of different penalty functions are considered, among these is the absolute difference between the observed value and the fused value. It is shown in this case that the fused value is the median value of the observations. We extend this approach to the situation in which we have weights associated with the observations and obtain a formulation for the weighted median. Finally we consider cases in which we allow for the possibility of having solution.

Keywords

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