Possibility Theory for the Design of Information Fusion Systems by Basel Solaiman & Éloi Bossé

Author:Basel Solaiman & Éloi Bossé
Language: eng
Format: epub
ISBN: 9783030328535
Publisher: Springer International Publishing

m(An) = Π(Gn) − Π(Gn + 1), n = 1, 2, …, N − 1.

5.4.1 Transforming a b.p.a into a Possibility Distribution

Let m(.) be a mass function on a finite set of alternatives Ω. The possibility distribution π(.) induced by m, called contour function, can be obtained as the plausibility of different alternatives:

This transformation will be referred as the basic probability assignment to possibility distribution transformation (b. p. a → π, for short). It is straightforward to check that π(.) takes its values in the unit interval [0, 1]. Moreover, it is worthwhile to notice that:π(x) = 1 if and only if the alternative x belongs to all focal elements of the mass function m;

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