A definition of subjective possibility

Didier Dubois (), Henri Prade () and Philippe Smets ()

Operations Research and Decisions, 2003, vol. 13, issue 4, 7-22

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.

Keywords: belief function; possibility distribution; fuzzy number; pignistic transformation; Shapley value (search for similar items in EconPapers)
Date: 2003
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