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the current movie is good is 1
.
0. In fact, we (and agent
A
1
)donotmake
any assumption whatsoever on the probabilities of the current movie's
quality being good, average, or bad. Agent
A
1
's opinion
B
1
=
}
is simply that, 'From my (i.e., agent
A
1
's) limited experience so far
concerning the quality of the S.F. movies directed by Spielberg, which
happens to be self-consistent, I have reason to believe that the quality
of the current movie, being also an S.F. movies directed by Spielberg,
is good. However, I do not say that the quality of the current movie
must be good. I am not going to give any opinions on the probability
or possibility that the quality of the current movie is average or bad,
either. I only say that it is my belief that the quality of the current
movie is good'.
{
Good
Example 3.9
Let's continue from above discussion in Example 3.7.
We consider two specific consequences
x
1
=(tennis, tennis, tennis,
tennis) and
x
2
=(movie, movie, movie, movie). The preference rules
of
A
3
are still the four rules P1 to P4 in Section 3.3.
P1.
x
2
3
x
1
P2.
{
Average
}⇒x
1
3
x
2
P3.
{
Bad
}⇒x
1
3
x
2
P4.
{
Good
}⇒
x
1
3
x
2
In order to decide which preference rules are fired, we check if
any of the left hand side of the preference rules matches the opinion
B
3
=
{
Average
,
Bad
}⇒
. Unfortunately, no matching is found. So, we
look for
partial matching
that matches a subset of the opinion. Given
the opinion of
A
3
,whichis
B
3
=
{
Good
,
Averge
}
, both Rules P1 and
P2 partially match in this case, and both rules are fired. Intuitively,
both Rules P1 and P2 are 'covered' by the opinion of
A
3
.RulesP3
and P4 are not fired because they are not 'completely covered' by the
opinion of
A
3
. In this particular case, the preference of the agent
A
3
is
said to be in conflict as the right hand sides of the two fired rules do not
contain the same value. Actually they contain the directly conflicting
information: by rule P1,
x
2
is better than
x
1
, but by rule P2,
x
1
is
{
Good
,
Averge
}
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