  Due to the fact that basic uncertain information provides a simple form for
decision information with certainty degree, it has been developed to reflect
the quality of observed or subjective assessments. In order to study the
algebra structure and preference relation of basic uncertain information, we
develop some algebra operations for basic uncertain information. The order
relation of such type of information has also been considered. Finally, to
apply the developed algebra operations and order relations, a generalized TODIM
method for multi-attribute decision making with basic uncertain information is
given. The numerical example shows that the developed decision procedure is
valid.
