Information Technology Reference
In-Depth Information
The approach defined being generic, we do not know the effect of the elements
of set
I
, so a function of interpretation will specify its meaning. The knowledge of
this function will allow us to establish the properties relative to this interpretation. Let
the function of interpretation of information be
int
, which enables us to associate the
semantic interpretation to an element of information that characterizes multimodality.
It is defined as follows:
int
:
I −→ D
where
D
is the interpretation domain associated to the information.
D
is defined
according to the system studied, the user or the HCI designer. This domain is not
specified in this chapter - it concerns the functional core. Nonetheless, it is essential
to define the interpretation function to establish the characteristics of complementarity,
independence, redundancy, etc.:
-
i
i
Cc i
j
:
i
i
concurrent to
i
j
expresses that the interpretations of
i
i
and
i
j
are
independent;
-
i
i
Cp i
j
:
i
i
complementary to
i
j
expresses that the interpretations of
i
i
and
i
j
are complementary without being redundant;
-
i
i
Cr i
j
:
i
i
complementary and redundant to
i
j
expresses that the interpretations
i
i
and
i
j
are complementary and that a part of their interpretations is redundant;
-
i
i
Pr i
j
:
i
i
partially redundant to
i
j
expresses that the interpretation of
i
i
is
entirely included in the interpretation of
i
j
or that the interpretation of
i
j
is entirely
included in the interpretation of
i
i
;
-
i
i
Tr i
j
:
i
i
totally redundant to
i
j
expresses that the interpretations of
i
i
and
i
j
are equivalent.
The relations of complementarity, independence and redundancy on domain
D
need to be specified for each system studied.
Let
i
be an information belonging to
I
, and
n
a natural number greater or equal to
1,
It
(
n, i
) expresses the iteration
n
times of the information
i
.
4.5.2.3.
Static semantics
The static semantics of the fission model define the duration of restitution of
information
i
expressed for each elementary information by its temporal boundaries
by means of temporal relation
T
.
Let us consider
Time
=
{t
j
}
the set of the discrete instants and the functions
deb
and
end
defined on
I
as follows:
deb
:
I → Time∀i
i
∈ Ideb
(
i
i
) is the start of
i
i
event occurrence;
end
:
I → Time∀i
i
∈ Iend
(
i
i
) is the end of
i
i
event occurrence.
