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In Depth Tutorials and Information
11.4.5 Confident
In the CONFIDANT scheme [31,32] direct trust values are updated according to
a Beta distribution Beta ( α , β ), where α and β represent the total number of unsuc-
cessful and successful interactions, respectively.
DirectTrust
= −
1
CDT
i j
,
i j
,
α
α β
CDT
=∈
(
Beta F
(
))
=
i j
,
i j
,
+
where F i,j = ( α , β ) is initialized to (1, 1). α and β are updated as below:
α α
=
+
s
,
β β
= + −
(
1
s
)
where s indicates the unsuccessful interaction.
In CONFIDANT the indirecttrust values are calculated in the same way as the
direct trust values.
= −
IndirectTrust
1
CIT
i j
,
i j
,
ʹ
ʹ + ʹ
α
CiT
=
E
(
Beta R
(
))
=
i j
,
i j
,
α
β
where R i,j = ( α ' > 0, β ' > 0)is initialized to (0, 0) and then updated as follows:
R
=
R
+
w F
= α β
(
'
,
'
)
i j
,
i j
,
k
k j
,
Note that w k and the threshold trust value H' are set statically.
In Reference 31 a new trust scheme is proposed which involves the observation
of the mutual neighbors of both nodes into the trust value computation based on
Heider's theory and introduces a dynamic threshold. Trust i,j = ( s,u ) is initialized to
(1,1) and then updated as below:
=
+
Trust
( ,
s u
)
f Trust Trust
(
)
'
i j
,
i k
,
k j
,
k N
u
= +
u
e s
= + −
s
(
1
e
)
=
=
Trust
( ,
x y
)
Trust
'
(
x
1
,
y
1
)
k j
,
k j
,
 
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