Information Technology Reference
In-Depth Information
Ta b l e 3 . 3
Human conditions
human condition chest pain elevated CPK rash Koplik's spots
...
heart attack
yes
yes
no
no
...
measles
no
no
yes
yes
...
that is present in
H
is written
(
F
i
,
1
)
, whereas a feature
F
j
that is not present in
H
is
written
(
F
j
,
0
)
, for example:
=
(
,...,
,
heart attack
F
1
,
1
)
,
(
F
2
,
1
)
,
(
F
3
,
1
)
,...,
(
F
i
,
0
)(
F
j
,
0
)
,
(
F
k
,
0
)
...,
etc.
=
(
,...,
,
measles
F
1
,
0
)
,
(
F
2
,
0
)
,
(
F
3
,
0
)
,...,
(
F
i
,
1
)(
F
j
,
1
)
,
(
F
k
,
1
)
...,
etc.
more specifically:
heart attack
=
{
(
chest pain, 1
)
,
(
elevated CPK, 1
)
,...,
(
rash, 0
)
,...
...,
(
Koplik's spots, 0
)
,...
etc.
,...}
measles
=
{
(
chest pain, 0
)
,
(
elevated CPK, 0
)
,...,
(
rash, 1
)
,...
...,
(
Koplik's spots, 1
)
,...
etc.
,...}.
3.6.5
Fuzziness of Human Conditions
However, Sadegh-Zadeh fuzzified the representation of human conditions
H
as pairs
of features that are present or not present in
H
, to model also real world human con-
ditions where “a feature may not be definitely present or absent, but present to a
particular extent different that 1 and 0. For example, someone may have
{
mild chest pain
,
highly elevated CPK
,...,
severe tachycardia
,...,}
whereas someone else has:
{
severe chest pain
,
slightly elevated CPK
,...,
moderate tachycardia
,...,}
and still another person has:
{
very severe chest pain
,
slightly elevated CPK
,...,
mild tachycardia
,....}
.
We may therefore generalize the above-mentioned fuzziness of a human condition
H
thus:
H
=
{
(
F
1
,
μ
H
(
F
1
))
,
(
F
2
,
μ
H
(
F
2
))
,...,
(
F
n
,
μ
H
(
F
n
))
},
(3.24)
(
)
where an
F
i
is a feature such as chest pain, levated CPK, etc. and
μ
F
i
is a real
H
[
,
]
number in the unit interval
0
1
indicating the degree of its membership in the
human condition
H
.” [70, 126]
