On a Generalized Objective Function for Possibilistic Fuzzy Clustering

Jozsef Mezei, Peter Sarlin

    Research output: Chapter in Book/Conference proceedingConference contributionScientificpeer-review

    Abstract

    Possibilistic clustering methods have gained attention in both applied and theoretical research. In this paper, we formulate a general objective function for possibilistic clustering. The objective function can be used as the basis of a mixed clustering approach incorporating both fuzzy memberships and possibilistic typicality values to overcome various problems of previous clustering approaches. We use numerical experiments for a classification task to illustrate the usefulness of the proposal. Beyond a performance comparison with the three most widely used (mixed) possibilistic clustering methods, this also outlines the use of possibilistic clustering for descriptive classification via memberships to a variety of different class clusters. We find that possibilistic clustering using the general objective function outperforms traditional approaches in terms of various performance measures.
    Original languageUndefined/Unknown
    Title of host publicationInformation Processing and Management of Uncertainty in Knowledge-Based Systems
    EditorsJP Carvalho, Lesot M-J, U Kaymak, S Vieira, B Bouchon-Meunier, RR Yager
    PublisherSpringer
    Pages711–722
    Number of pages12
    ISBN (Electronic)978-3-319-40596-4
    ISBN (Print)978-3-319-40595-7
    DOIs
    Publication statusPublished - 2016
    MoE publication typeA4 Article in a conference publication
    EventInternational conference on information processing and management of uncertainty in knowledge-based systems - IPMU 2016
    Duration: 1 Jan 2016 → …

    Conference

    ConferenceInternational conference on information processing and management of uncertainty in knowledge-based systems
    Period01/01/16 → …

    Keywords

    • Classification
    • Membership function
    • Possibilistic clustering
    • Typicality values

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