<s>
Fuzzy	B-General_Concept
mathematics	I-General_Concept
is	O
the	O
branch	O
of	O
mathematics	O
including	O
fuzzy	O
set	O
theory	O
and	O
fuzzy	O
logic	O
that	O
deals	O
with	O
partial	O
inclusion	O
of	O
elements	O
in	O
a	O
set	O
on	O
a	O
spectrum	O
,	O
as	O
opposed	O
to	O
simple	O
binary	O
"	O
yes	O
"	O
or	O
"	O
no	O
"	O
(	O
0	O
or	O
1	O
)	O
inclusion	O
.	O
</s>
<s>
Instead	O
of	O
and	O
one	O
can	O
use	O
t-norm	B-General_Concept
and	O
t-conorm	B-General_Concept
,	O
respectively	O
;	O
for	O
example	O
,	O
min(a, b )	O
can	O
be	O
replaced	O
by	O
multiplication	O
ab	O
.	O
</s>
<s>
Analogues	O
of	O
other	O
mathematical	O
subjects	O
have	O
been	O
translated	O
to	O
fuzzy	B-General_Concept
mathematics	I-General_Concept
,	O
such	O
as	O
fuzzy	O
field	O
theory	O
and	O
fuzzy	O
Galois	O
theory	O
,	O
fuzzy	O
topology	O
,	O
fuzzy	O
geometry	O
,	O
fuzzy	O
orderings	O
,	O
and	O
fuzzy	O
graphs	O
.	O
</s>
