Università degli Studi di Milano-Bicocca
Question
Asked 30 October 2012
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Decisions with probability and fuzzy logic (degree of truth) together.
if A has a probability of p_a = 0.6 and it has a with a degree of truth ma = 0.4; B has p_b =0.4 and has a degree of truth mb 0.6, which will be chosen by a rational agent, A or B ?
A and B independent....
All Answers (3)
It depends on your desired semantics and application. Usually uncertainty and vagueness should not interfere eachother.
University of Oviedo
I don't think it makes sense to give A and B a probability and a degree of truth simultaneously. The probability of A is the probability of A being the case, which already presupposes that A is either the case or not the case, only we do not know which. But a degree of truth presupposes that A could be the case, not be the case, or be in a borderline situation which is neither fully the case nor fully not-the-case.
If A has a degree of truth of .4 then you are saying that A is neither the case (degree of truth 1) nor not-the-case (degree of truth 0), in direct contradiction with the basic assumption of traditional probability theory that events either happen or not happen.
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