A Heuristic Approach to Possibilistic Clustering: Algorithms and Applications

  • Dmitri A. Viattchenin

Part of the Studies in Fuzziness and Soft Computing book series (STUDFUZZ, volume 297)

Table of contents

  1. Front Matter
    Pages 1-10
  2. Dmitri A. Viattchenin
    Pages 1-58
  3. Dmitri A. Viattchenin
    Pages 59-118
  4. Dmitri A. Viattchenin
    Pages 119-182
  5. Back Matter
    Pages 219-227

About this book

Introduction

The present book outlines a new approach to possibilistic clustering in which the sought clustering structure of the set of objects is based directly on the formal definition of fuzzy cluster and the possibilistic memberships are determined directly from the values of the pairwise similarity of objects.   The proposed approach can be used for solving different classification problems. Here, some techniques that might be useful at this purpose are outlined, including a methodology for constructing a set of labeled objects for a semi-supervised clustering algorithm, a methodology for reducing analyzed attribute space dimensionality and a methods for asymmetric data processing. Moreover,  a technique for constructing a subset of the most appropriate alternatives for a set of weak fuzzy preference relations, which are defined on a universe of alternatives, is described in detail, and a method for rapidly prototyping the Mamdani’s fuzzy inference systems is introduced. This book addresses engineers, scientists, professors, students and post-graduate students, who are interested in and work with fuzzy clustering and its applications

Keywords

Clustering with Partial Supervision Fuzzy Clustering Intelligent Data Analysis Intuitionistic Fuzzy Sets Knowledge-based Clustering Possibilistic Clustering Uncertain Data Processing

Authors and affiliations

  • Dmitri A. Viattchenin
    • 1
  1. 1.United Institute of Informatics Problems, Laboratory of Information ProtectionNational Academy of Sciences of BelarusMinskBelarus

Bibliographic information

  • DOI https://doi.org/10.1007/978-3-642-35536-3
  • Copyright Information Springer-Verlag Berlin Heidelberg 2013
  • Publisher Name Springer, Berlin, Heidelberg
  • eBook Packages Engineering
  • Print ISBN 978-3-642-35535-6
  • Online ISBN 978-3-642-35536-3
  • Series Print ISSN 1434-9922
  • Series Online ISSN 1860-0808
  • About this book
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