Πρόσκληση σε διάλεξη του καθηγητής James Delgrande με θέμα "The Logic of Qualitative Probability"

Το Τμήμα Διοίκησης Επιχειρήσεων σε συνεργασία με το Δίκτυο ΤΕΧΝΟΗΣΗ οργανώνει ομιλία

του καθηγητή James Delgrande από το SImon Fraser University (www.cs.sfu.ca/~jim/) για την

Παρασκευή 8 Μαϊου 2015, στις 12:00μμ, στην Αίθουσα ΠΑΜ 3 του Τμήματος Διοίκησης Επιχειρήσεων.

Ακολουθούν ο τίτλος και η περίληψη της διάλεξης:

ΤΙΤΛΟΣ:

The Logic of Qualitative Probability

ΠΕΡΙΛΗΨΗ

In this talk I present a theory of qualitative probability, where qualitative

probability deals with the relative likelihood of events, but without specifying

exact probabilities. Work in this area goes back at least to de Finetti. The

usual approach is to specify a binary operator <= with P <= Q having the

intended interpretation that Q is at least as probable as P. We generalise

these approaches by extending the domain of the operator <= from the set of

events to the set of finite sequences of events. If S1 and S2 are finite

sequences of events, S1 <= S2 has the intended interpretation that the summed

probabilities of the elements of S1 is not greater than the sum of those of

S2. We provide a sound and complete axiomatisation for this operator over

finite outcome sets, and show that this theory is sufficiently powerful to

capture the results of axiomatic probability theory. We argue that our

approach is simpler and more perspicuous than previous accounts. As well, we

show that our approach generalises the two major accounts for finite outcome

sets, and we show that the approach is expressive enough to encode rational

linear inequalities.