TitleMedian-Based Aggregation Operators for Prototype Construction in Ordinal Scales
Publication TypeJournal Article
Year of Publication2003
AuthorsDomingo-Ferrer J, Torra V
JournalInternational Journal of Intelligent Systems
Volume18
Number6
Pagination633-655
Abstract

This article studies aggregation operators in ordinal scales for their application to clustering (more specifically, to microaggregation for statistical disclosure risk). In particular, we consider these operators in the process of prototype construction. This study analyses main aggregation operators for ordinal scales [plurality rule, medians, Sugeno integrals (SI), and ordinal weighted means (OWM), among others] and shows the difficulties for their application in this particular setting. Then, we propose two approaches to solve the drawbacks and we study their properties. Special emphasis is given to the study of monotonocity because the operator is proven nonsatisfactory for this property. Exhaustive empirical work shows that in most practical situations, this cannot be considered a problem.