INSTITUTE OF INFORMATION TECHNOLOGIES - BAS
Cybernetics and Information Technologies
Volume 6, No 3. Sofia, 2006, Bulgarian Academy of Sciences
Models for Weighted Aggregation of Fuzzy Relations
to Multicriteria Decision Making Problems
Vania Peneva, Ivan Popchev
Institute of Information Technologies, 1113 Sofia
Emails: vgpeneva@yahoo.co.uk, ipopchev@iit.bas.bg
Abstract:
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.
Keywords:
fuzzy preference relations, properties of fuzzy relations, t-norms, composition of fuzzy relation, aggregation operators, decision making.