Median-based aggregation operators for prototype construction in ordinal scales

Josep Domingo-Ferrer, Vicenç Torra

    Research output: Contribution to journalReview articleResearchpeer-review

    22 Citations (Scopus)

    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 analyzes 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 monotonicity because the operator is proven nonsatisfactory for this property. Exhaustive empirical work shows that in most practical situations, this cannot be considered a problem. © 2003 Wiley Periodicals, Inc.
    Original languageEnglish
    Pages (from-to)633-655
    JournalInternational Journal of Intelligent Systems
    Volume18
    Issue number6
    DOIs
    Publication statusPublished - 1 Jun 2003

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