ON WEIGHTED MEDIAN AGGREGATION

The issue of weighted Min and Max aggregation is discussed and a new technique for weighted median aggregation is suggested, showing its usefulness as an alternative the weighted average when the authors are using an ordinal scale.

Abstract

We discuss the issue of weighted Min and Max aggregation. We provide for a formalization of the process of importance weighted transformation. The transformation of zero importance items to the identity element of the aggregation is emphasized. Median type aggregation is discussed and we describe its properties. We suggest a new technique for weighted median aggregation. We show its usefulness as an alternative the weighted average when we are using an ordinal scale.