<s>
Random-fuzzy	B-General_Concept
variable	I-General_Concept
(	O
RFV	O
)	O
is	O
a	O
type	B-General_Concept
2	I-General_Concept
fuzzy	I-General_Concept
variable	I-General_Concept
,	O
defined	O
using	O
the	O
mathematical	O
possibility	O
theory	O
,	O
used	O
to	O
represent	O
the	O
entire	O
information	O
associated	O
to	O
a	O
measurement	O
result	O
.	O
</s>
<s>
A	O
Random-fuzzy	B-General_Concept
Variable	I-General_Concept
(	O
RFV	O
)	O
is	O
defined	O
as	O
a	O
type	B-General_Concept
2	I-General_Concept
fuzzy	I-General_Concept
variable	I-General_Concept
which	O
satisfies	O
the	O
following	O
conditions	O
:	O
</s>
<s>
A	O
Random-fuzzy	B-General_Concept
variable	I-General_Concept
can	O
be	O
constructed	O
using	O
an	O
Internal	O
possibility	O
distribution(rinternal )	O
and	O
a	O
random	O
possibility	O
distribution(rrandom )	O
.	O
</s>
<s>
where	O
is	O
the	O
mode	O
of	O
,	O
which	O
is	O
the	O
peak	O
in	O
the	O
membership	O
function	O
of	O
and	O
Tmin	O
is	O
the	O
minimum	O
triangular	B-General_Concept
norm	I-General_Concept
.	O
</s>
<s>
A	O
Random-Fuzzy	B-General_Concept
variable	I-General_Concept
is	O
capable	O
of	O
giving	O
a	O
complete	O
picture	O
of	O
the	O
random	O
and	O
systematic	O
contributions	O
to	O
the	O
total	O
uncertainty	O
from	O
the	O
α-cuts	O
for	O
any	O
confidence	O
level	O
as	O
the	O
confidence	O
level	O
is	O
nothing	O
but	O
1-α	O
.	O
</s>
