DIMACS TR: 2005-03
Modelling continuous positive and negative reasons in decision aiding
Authors: Meltem Ozturk and Alexis Tsoukias
The use of positive and negative reasons in inference and
decision aiding is a recurrent issue of investigation. A language
enabling us to explicitly take into account such reasons is
Belnap's logic and the four valued logics derived from it. In this
paper, we explore the interpretation of a continuous extension of
a four-valued logic as a necessity degree (in possibility theory).
It turns out that, in order to take full advantage of the four
values, we have to consider "sub-normalized" necessity measures.
Under such a hypothesis four-valued logics become the natural
logical frame for such an approach.
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