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x 2 j =obs(x 0 j-1 ,x 0 j )
x 0 j
x 1 j
x 2 j
= ?
j
x 0 j-1 x 1 j-1
x 2 j-1
j-1
x 0 j-2 x 1 j-2 x 2 j-2
……………………….
j-2
parameters
parameters
parametres
time
of the
of the Ag 1
of the Ag 2
environment
Fig. 2.14 Schema of the concept of the application of observation process in defining the parameters
of the agent
instance, the agent A g 2 ). This concept of the agent action has been schematically
presented in Fig. 2.14 . Changes in time of one parameter ( x 0 ) make it possible to
estimate data values of the other parameter ( x 2 ).
Example 2
Let us consider the following example:
U
={
a
,
b
,
c
,
d
,
e
} ,
F
(
a
) =
b
,
F
(
b
) =
c
,
F
(
c
) =
d
,
F
(
d
) =
e
(2.38)
Let us apply the Cartesian product:
X 0 ={
0
,
1
} ,
X 1 ={
0
,
1
} ,
X 2 ={
0
,
1
}
X
=
X 1 ×
X 2 ×
X 3
={ (
0
,
0
,
0
), (
0
,
0
,
1
),...,(
1
,
1
,
1
) }
(2.39)
Between the elements of the sets U and X there is the following relation:
a corresponds to
(
0
,
0
,
0
),
b corresponds to
(
0
,
0
,
1
),
c corresponds to
(
0
,
1
,
0
),
d corresponds to
(
1
,
1
,
0
),
(2.40)
e corresponds to
(
1
,
0
,
0
)
The function f may be defined as follows:
f
((
0
,
0
,
0
)) = (
0
,
0
,
1
),
f
((
0
,
0
,
1
)) = (
0
,
1
,
0
),
(2.41)
((
,
,
)) = (
,
,
),
((
,
,
)) = (
,
,
)
f
0
1
0
1
1
0
f
1
1
0
1
0
0
However, the algorithms Al g 1 and Al g 2 have the following forms:
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