Decision Making Discrete Multicriteria Problems Reference Cone
Institute of Mathematics and Informatics Bulgarian Academy of Sciences
Pliska Studia Mathematica Bulgarica, Vol. 12, No 1, (1998), 245p-254p
The paper proposes an interactive method solving the multiple criteria choice problem (MCCP) with a large number of discrete alternatives and a small number of
quantitative criteria. The decision maker (DM) sets his preferences in terms of
desired directions of improving or relaxing of the criteria. On this base the so
called reference cone is constructed. A small subset of relatively closed alternatives
is defined according to this cone and to the maximal deterioration of the criteria
values at each iteration. This subset is evaluated by the DM, who selects the most
preferred alternative or enters his/her new preferences.
The method suggested has user-friendly dialog. It enables the DM to explore
the set of alternatives comparatively quickly and easy. The method is included in
a DSS. It is tested by a number of real multiple criteria choice problems.