Models for Weighted Aggregation of Fuzzy Relations to Multicriteria Decision Making Problems

Aggregation of fuzzy relations on alternatives with the help of aggregation operators is considered in two cases: the weighted coefficients of the criteria are not present in the mathematical formula of the aggregation operators; a fuzzy preference relation between the criteria importance is given. The main result consists in proving the properties of the aggregated relation in dependence with the individual relations' properties. These properties give a possibility to decide the ranking, choice or clustering problems by fuzzy multicriteria decision making.