Information Technology Reference
In-Depth Information
dimension and can be defined based on the definition of traversal view. Firstly,
we give some related definitions:
Definition 1.
A
View Core
, denoted by
Core
, is a thinking centric cognitive
function concept in the function dimension. As the core of a conceptual view, it
is corresponding to a BI study issue and represents all the study activities of this
issue.
Definition 2.
A
Traversal Directive
for the source ontology O, denoted by
TD
,isapair:
<C
st
,RT >,
where
C
st
is a concept in the source ontology
O
from which view is extracted,
and represents the starter concept of the traversal;
RT
=
<R,n>
is a relation
directive, where
R
is a relation in
O
and n is a nonnegative integer or infinity
which specifies the depth of the traversal along the relation
R
.If
n
=
∞
,then
the traversal includes a transitive closure for
R
starting with
C
st
.
Definition 3.
A
Traversal Directive Result
(the result of applying directive
TD
to
O
), denoted by
TD
(
O
)
, is a set of concepts from the source ontology
O
such that:
1.
TD
=
<C
st
,RT >
;
2.
RT
=
<R,n>
,
n>
0
.if
C
st
is a concept in the starts of the relation
R
,
and a concept
C ∈ O
is the corresponding end of the relation
R
,then
C
is
in
TD
(
O
)
;
3.
RT
next
=
<R,n−
1
>
is a relation directive. if
n
=
∞
,then
n−
∞
.For
each concept
F
that was added to
TD
(
O
)
in step 2, the traversal directive
result
TD
F
(
O
)
for a traversal directive
TD
F
=
<F,RT
next
>
is in
TD
(
O
)
.
1=
No other concepts are in
TD
(
O
)
.
Based on the above definitions, the conceptual view of a Data-Brain can be
defined as follows:
Definition 4.
A
Conceptual View
, denoted by
CV
, is a five-tuple:
(
Core,CF,CFIC,RF,R
)
,
where
-
CF
=
< Core, < parentClassOf,∞ >>
(
FD
)
is a specialization of
TD
(
O
)
and represents the concept set of core cognitive functions in a conceptual
view, where “
parentClassOf
” is the inverse relation of the relation “sub-
ClassOf”, and
FD
is the function dimension of a Data-Brain;
-
CFIC
=
<Core,<includes
-
in
-
function,∞ >>
(
FD
)
is a specialization
of
TD
(
O
)
and represents the concept set of component cognitive functions
and interesting characteristics in a conceptual view, where “
includes
-
in
-
function
” is a relation in the function dimension and used to describe the
functional part-whole relationship among cognitive functions;
