Characterization of some aggregation functions stable for positive linear transformations

✍ Scribed by Jean-Luc Marichal; Pierre Mathonet; Eric Tousset

• Publisher: Elsevier Science
• Year: 1999
• Tongue: English
• Weight: 969 KB
• Volume: 102
• Category: Article
• ISSN: 0165-0114
• DOI: 10.1016/s0165-0114(97)00128-0

✦ Synopsis

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.