Applying Incomplete Linguistic Preference Relations to Tender Selection

In many decision-making problems, the decision information is expressed in the form of preference relations. This paper presents incomplete linguistic preference relations to evaluate criteria of tender selection in public office buildings. The proposed method yields decision matrices for making pairwise comparisons by using additive transitivity property. Only the least n-1 comparison judgments are required in which experts can compare any row, column or diagonal on a level that contains n criteria. The proposed method not only makes sufficiently using of the provided preference information, but also maintains the experts´ consistency and avoids checking the consistency of linguistic preference relations.