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Capacities, Credibilities in Analysis of Probabilistic Objects by Histograms and Lattices

  • Edwin Diday
  • Richard Emilion
Part of the Studies in Classification, Data Analysis, and Knowledge Organization book series (STUDIES CLASS)

Summary

Capacities and credibilities appear in the modelling of objects described by random variables with probability distributions. The general aim is to extend standard data analysis to such objects. Only histograms and lattices are investigated in this more general setting. Sub-additive ergodic theorems are used as a tool in the histogram analysis of these objects.

Keywords

Ergodic Theorem Complete Lattice Mathematical Property Probabilistic Object Histogram Analysis 
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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References

  1. Choquet, G. (1954) Theory of capacities. Ann. Instit. Fourier.Google Scholar
  2. Diday, E. (1995) Probabilistic, possibilist and belief objects for knowledge analysis. Annals of Operations Research 55,227 — 276.Google Scholar
  3. Diday E., Emilion, R. (1996) Capacities and credibilities in analysis of probabilistic objects. Proceedings of OSDA’95. Springer Verlag.Google Scholar
  4. Schafer G. (1976) A mathematical theory of evidence. Princeton University Press.Google Scholar
  5. Schweizer B., Sklar B. (1983) Probabilistic metric spaces. Elsevier North-Holland, New-York.MATHGoogle Scholar

Copyright information

© Springer Japan 1998

Authors and Affiliations

  • Edwin Diday
    • 1
  • Richard Emilion
    • 2
  1. 1.INRIA RocquencourtCEREMADE - Université Paris 9le Chesnay CedexFrance
  2. 2.Centre de Calcul InformatiqueUniversité de DakarSénégal

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