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Random closed sets: A unified approach to the representation of imprecision and uncertainty

  • Philippe Quinio
  • Takashi Matsuyama
Contributed Papers
Part of the Lecture Notes in Computer Science book series (LNCS, volume 548)

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References

  1. [1]
    Ph. Quinio, “Mathematical Connections between the Probability, Fuzzy Set, Possibility and Dempster-Shafer Theories”, ATR technical report, TR-A-0112, 1991.Google Scholar
  2. [2]
    I.R. Goodman, “Characterizations of N-ary Fuzzy Set Operations which induce Homomorphic Random Set operations” in Fuzzy Information and Decision Processes, North-Holland, 1982.Google Scholar
  3. [3]
    J. Kampé de Fériet, “Interpretation of Membership functions of Fuzzy Set in terms of Plausibility and Belief” in Fuzzy Information and Decision Processes, North-Holland, 1982.Google Scholar
  4. [4]
    G. Matheron, Random Sets and Integral Geometry, Wiley, New York, 1975.Google Scholar
  5. [5]
    H.T Nguyen, “On Random Sets and Belief Functions” J. of Math. Anal. and Appl., vol. 65, pp. 531–542, 1978.Google Scholar
  6. [6]
    J. Serra, Image Analysis and Mathematical Morphology, Academic Press, 1982.Google Scholar
  7. [7]
    G. Shafer, A mathematical Theory of Evidence, Princeton University Press, 1976.Google Scholar
  8. [8]
    G. Tamburrini and S. Termini, “Some Foundational Problems in the Formalization of Vagueness” in Fuzzy Information and Decision Processes, North-Holland, 1982.Google Scholar

Copyright information

© Springer-Verlag Berlin Heidelberg 1991

Authors and Affiliations

  • Philippe Quinio
    • 1
  • Takashi Matsuyama
    • 2
  1. 1.ATR Auditory and Visual Perception Research Lab.KyŌtoJapan
  2. 2.Information Technology Dep.Okayama Univ.OkayamaJapan

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