<s>
Fuzzy	B-General_Concept
subalgebras	I-General_Concept
theory	O
is	O
a	O
chapter	O
of	O
fuzzy	O
set	O
theory	O
.	O
</s>
<s>
A	O
largely	O
studied	O
class	O
of	O
fuzzy	B-General_Concept
subalgebras	I-General_Concept
is	O
the	O
one	O
in	O
which	O
the	O
operation	O
coincides	O
with	O
the	O
minimum	O
.	O
</s>
<s>
A	O
fuzzy	O
subset	O
s	O
of	O
an	O
algebraic	O
structure	O
defines	O
a	O
fuzzy	B-General_Concept
subalgebra	I-General_Concept
if	O
and	O
only	O
if	O
for	O
every	O
λ	O
in	O
[0,1],	O
the	O
closed	O
cut	O
{	O
x	O
∈	O
D	O
:	O
s(x )	O
≥	O
λ}	O
of	O
s	O
is	O
a	O
subalgebra	O
.	O
</s>
<s>
The	O
fuzzy	O
subgroups	O
and	O
the	O
fuzzy	O
submonoids	O
are	O
particularly	O
interesting	O
classes	O
of	O
fuzzy	B-General_Concept
subalgebras	I-General_Concept
.	O
</s>
