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ʻ
ʻ
∈
(
−
,
]
that means
x
0. Hence,
1
0
. For example,
•
With
N
ʻ
=
N
0
, there is coherence
2
(
1
−
a
)
•
With
N
ʻ
=
N
−
0
.
5
,or
N
ʻ
(
a
)
=
, there is coherence
2
−
a
•
With
N
ʻ
=
N
1
, there is no coherence.
1.2.4 Medium Term
Given a regular pair of antonyms
(
P
,
aP
)
, the middle or medium term of them, is
the predicate
MP
not P and Not aP
, as it was said in Sect.
1.2.1
. Although we
don't yet studied the diverse models for the conjunction 'and', by the moment let us
take the model given by the operation minimum (
=
=
min) in
[
0
,
1
]
. Then,
μ
MP
=
min
(μ
not P
(
x
), μ
not a P
(
x
)).
For example, with
P
=
small
in
[
0
,
10
]
,
N
0
, and
A
(
x
)
=
10
−
x
,is:
μ
small
μ
big
μ
μ
not small
not big
6
8
(
,
,
)
The triplets
P
MP
aP
play an important role in the applications of fuzzy sets.
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