Question

Explain the concept of possibility (10 mark)

Answer 1

Answer:

There is an extensive formal correspondence between probability and possibility theories, where the addition operator corresponds to the maximum operator.

A possibility measure can be seen as a consonant plausibility measure in Dempster–Shafer theory of evidence. The operators of possibility theory can be seen as a hyper-cautious version of the operators of the transferable belief model, a modern development of the theory of evidence.

Possibility can be seen as an upper probability: any possibility distribution defines a unique.

This allows one to study possibility theory using the tools of imprecise probabilities.

Hope it helps.