Establishing strict dominance between alternatives with special type of incomplete information

A special model for establishing dominance with decision maker's incomplete information is proposed in multi-attribute decision problem under certainty. Incomplete information is a set of linear inequalities about utilities as well as attribute weights. Since a general model presented in a prior work uses a linear programming technique, a number of linear programs should be solved for checking dominance. With the proposed method, we can check strict dominance between alternatives by simple matrix operation without solving linear programs, thus reducing computational time.