Solving multi-criteria decision making with incomplete linguistic preference relations

This study proposes some issues to solve the Incomplete Linguistic Preference Relations under Multi-Criteria Decision Making. The proposed method has simple calculation and can speed up the process of comparison and selection of alternative. Experts obtain the matrix by choosing a finite and fixed set of alternatives and perform a pairwise comparison based on their different preferences and knowledge. This method considers only 1 n − judgments, whereas the traditional analytic hierarchy approach takes ( 1) / 2 n n − judgments in a preference matrix with n elements. In evaluation, experts make pairwise comparisons objectively and definitely. This way not only presents a method of resolving inconsistent problem but also boosts the efficiency in computation. Furthermore, this study is developed by the preference relationship between complete and incomplete, then applying Multi-Criteria Incomplete Linguistic Preference Relation, Constituting Decision Matrix, and analyzing the result of the experiment via selecting hearing aids. Consequently, we draw the conclusion and verify the consistency linguistic preference relations. Key-Words: Incomplete linguistic preference relations, AHP, Decision analysis, Consistent fuzzy preference relations, Multi-criteria decision making