Rank-Ordering of Alternatives in Multiattribute Decision with Incomplete Information

Incomplete information is a set of linear inequalities, which is the decision maker’s information on both utilities and attribute weights. The decision maker under time pressure and lack of knowledge is only willing or able to provide incomplete information. We present a method for establishing pairwise dominance of alternatives under consideration, and propose an algorithm of constructing a dominance graph using the data of pairwise dominance relations. Proposed algorithm uses a graph theoretical technique, which is based on the transitivity of preferences. Dominance graph can be used to aid in selecting an optimal alternative or satisfying alternatives.