Title :
A characterization of the ordered weighted averaging functions based on the ordered bisymmetry property
Author :
Marichal, Jean-Luc ; Mathonet, Pierre
Author_Institution :
Dept. of Manage., Liege Univ., Belgium
fDate :
2/1/1999 12:00:00 AM
Abstract :
This paper deals with the characterization of a class of aggregation operators. This class concerns operators that are symmetric, increasing, stable for the same positive linear transformations, and present a property close to the bisymmetry property: the ordered bisymmetry property. It is proved that the class investigated contains exactly the ordered weighted averaging operators introduced by Yager (1988)
Keywords :
decision theory; fuzzy set theory; invariance; management science; aggregation operators; bisymmetry; decision making; fuzzy integrals; interval scales; invariance; ordered weighted averaging functions; Area measurement; Arithmetic; Decision making; Length measurement; Mathematics; Open wireless architecture; Stability; Volume measurement;
Journal_Title :
Fuzzy Systems, IEEE Transactions on
