Characterization of some aggregation functions stable for positive linear transformations
This paper deals with the characterization of some classes of aggregation functions often used in multicriteria decision making problems. The common properties involved in these characterizations are "increasing monotonicity" and "stability for positive linear transformations". Additional algebraic properties related to associativity allow to completely specify the functions. (C) 1999 Elsevier Science B.V. All rights reserved.
aggregation functions interval scale invariance algebraic properties of aggregation functions fuzzy multiple criteria decision making