<s>
Fuzzy	B-General_Concept
classification	I-General_Concept
is	O
the	O
process	O
of	O
grouping	O
elements	O
into	O
fuzzy	O
sets	O
whose	O
membership	B-General_Concept
functions	I-General_Concept
are	O
defined	O
by	O
the	O
truth	O
value	O
of	O
a	O
fuzzy	O
propositional	B-Algorithm
function	I-Algorithm
.	O
</s>
<s>
A	O
fuzzy	O
propositional	B-Algorithm
function	I-Algorithm
is	O
analogous	O
to	O
an	O
expression	O
containing	O
one	O
or	O
more	O
variables	O
,	O
such	O
that	O
when	O
values	O
are	O
assigned	O
to	O
these	O
variables	O
,	O
the	O
expression	O
becomes	O
a	O
fuzzy	O
proposition	O
.	O
</s>
<s>
Accordingly	O
,	O
fuzzy	B-General_Concept
classification	I-General_Concept
is	O
the	O
process	O
of	O
grouping	O
individuals	O
having	O
the	O
same	O
characteristics	O
into	O
a	O
fuzzy	O
set	O
.	O
</s>
<s>
A	O
fuzzy	B-General_Concept
classification	I-General_Concept
corresponds	O
to	O
a	O
membership	B-General_Concept
function	I-General_Concept
that	O
indicates	O
the	O
degree	O
to	O
which	O
an	O
individual	O
is	O
a	O
member	O
of	O
the	O
fuzzy	O
class	O
,	O
given	O
its	O
fuzzy	B-General_Concept
classification	I-General_Concept
predicate	B-Algorithm
.	O
</s>
<s>
The	O
fuzzy	B-General_Concept
classification	I-General_Concept
predicate	B-Algorithm
corresponds	O
to	O
the	O
fuzzy	O
restriction	O
"	O
is	O
a	O
member	O
of	O
"	O
.	O
</s>
<s>
A	O
class	O
logic	O
is	O
a	O
logical	O
system	O
which	O
supports	O
set	O
construction	O
using	O
logical	B-Algorithm
predicates	I-Algorithm
with	O
the	O
class	O
operator	O
{	O
.	O
|	O
.	O
</s>
<s>
is	O
defined	O
as	O
a	O
set	O
C	O
of	O
individuals	O
i	O
satisfying	O
a	O
classification	O
predicate	B-Algorithm
Π	O
which	O
is	O
a	O
propositional	B-Algorithm
function	I-Algorithm
.	O
</s>
<s>
is	O
the	O
set	O
of	O
variables	O
V	O
and	O
the	O
set	O
of	O
propositional	B-Algorithm
functions	I-Algorithm
PF	O
,	O
and	O
the	O
range	O
is	O
the	O
powerset	O
of	O
this	O
universe	O
P(U )	O
that	O
is	O
,	O
the	O
set	O
of	O
possible	O
subsets	O
:	O
</s>
<s>
A	O
propositional	B-Algorithm
function	I-Algorithm
is	O
"	O
an	O
expression	O
containing	O
one	O
or	O
more	O
undetermined	O
constituents	O
,	O
such	O
that	O
,	O
when	O
values	O
are	O
assigned	O
to	O
these	O
constituents	O
,	O
the	O
expression	O
becomes	O
a	O
proposition	O
"	O
.	O
</s>
<s>
A	O
classification	O
corresponds	O
to	O
a	O
membership	B-General_Concept
function	I-General_Concept
μ	O
that	O
indicates	O
whether	O
an	O
individual	O
is	O
a	O
member	O
of	O
a	O
class	O
,	O
given	O
its	O
classification	O
predicate	B-Algorithm
Π	O
.	O
</s>
<s>
The	O
membership	B-General_Concept
function	I-General_Concept
maps	O
from	O
the	O
set	O
of	O
propositional	B-Algorithm
functions	I-Algorithm
PF	O
and	O
the	O
universe	O
of	O
discourse	O
U	O
into	O
the	O
set	O
of	O
truth	O
values	O
T	O
.	O
The	O
membership	O
μ	O
of	O
individual	O
i	O
in	O
Class	O
C	O
is	O
defined	O
by	O
the	O
truth	O
value	O
τ	O
of	O
the	O
classification	O
predicate	B-Algorithm
Π	O
.	O
</s>
