Issue: 2003/Vol.13/No.4, Pages 7-22
A DEFINITION OF SUBJECTIVE POSSIBILITY
Didier Dubois
, Henri Prade, Philippe Smets
Cite as: D. Dubois, H. Prade, P. Smets. A definition of subjective possibility. Operations Research and Decisions 2003: 13(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
Received: Accepted: