Fuzzy Sets and Systems
Volume 99, Number 3 (1998), Pages 253-264.
The choice of an aggregation function is a common problem in Multi
Attribute Decision Making (MADM) systems.
The Method of Imprecision (MoI) is a formal
theory for the manipulation of
preliminary design information
that represents preferences among design alternatives
with the mathematics of fuzzy sets. The MoI formulates the
preliminary design problem as a MADM problem.
To date, two aggregation functions have been developed for the MoI, one
representing a compensating strategy and one a non-compensating
Much of the prior fuzzy sets research on aggregation functions has been
inappropriate for application to engineering design.
In this paper, the selection of an aggregation function for MADM
schemes is discussed
within the context of the MoI.
general restrictions on design-appropriate aggregation functions
are outlined, and a family of functions,
modeling a range of trade-off strategies, is presented.
The results are illustrated with an example.