Evolving Principal Clusters: Theory and Application to Management Monitoring

  • Y. Schektman
  • A. Ibrahim
Conference paper


Principal Clusters (PC) and Evolving Principal Clusters (EPC) constitute applications of inner products (distances) with relationship effects and the general theory of symmetrical (CARS) and dissymmetrical (CARDS) relationship association indices defined in Schektman (1978, 1987).

PC are obtained by maximizing CARS or CARDS, i.e., inertia of well design configurations of points in a well chosen euclidean space. By proving intermediate PC, EPC simulates evolution between two PC obtained on the same population. So EPC provides a “measure” of mobility for individuals which change classes.

Applications of EPC to manage a population of 41 restaurants is presented; restaurants to be monitored are pointed out with the help of a friendly program running on IBM PC.


Orthogonal Projection Canonical Correlation Relationship Effect Projection Matrix Association Index 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.


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Copyright information

© Springer-Verlag Berlin · Heidelberg 1988

Authors and Affiliations

  • Y. Schektman
    • 1
  • A. Ibrahim
    • 1
  1. 1.Aegide, Greco-CNRS 59 Universite Toulouse Le MIRAILToulouse CedexFrance

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