Characterization of some aggregation functions stable for positive linear transformations

in Fuzzy Sets and Systems (1999), 102(2), 293-314

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 ... [more ▼]

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. [less ▲]

Characterization of some aggregation functions stable for positive linear transformations

in Proc. 44th Meeting of the Eur. Working Group "Multiple Criteria Decision Aiding" (MCDA 44), Brussels, Belgium, Oct. 3-4, 1996 (1996, October)

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 ... [more ▼]

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. [less ▲]