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A definition of subjective possibility

Author

Listed:
  • Didier Dubois
  • Henri Prade
  • Philippe Smets

Abstract

The problem of finding a suitable belief function consistent with a given possibility distribution is considered. It is proved that this function is unique and consonant thus representable by means of a possibility distribution. The possibility distribution is subjective and unique. The re-sults obtained in the paper allow us to define subjective possibility degrees, hence the member-ship function of fuzzy number.

Suggested Citation

  • Didier Dubois & Henri Prade & Philippe Smets, 2003. "A definition of subjective possibility," Operations Research and Decisions, Wroclaw University of Science and Technology, Faculty of Management, vol. 13(4), pages 7-22.
    • Handle: RePEc:wut:journl:v:4:y:2003:p:1
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