Abstract
The basic properties of the Ordered Weighted Averaging (OWA) operator are recalled. The role of these operators in the formulation of multi-criteria decision functions, using the concept of quantifier guided aggregation, is discussed. An extended class of OWA operators, one based upon a relaxation of the requirements on the OWA operators, is introduced. This relaxation allows us to consider a new branch of OWA operators, NOMOWA operators, which have negative weights and which exhibit nonmonotonicity. Some special cases of these operators are discussed and then we investigate the role of these nonmonotonic operators in the formulation of multi-criteria decision functions.
This is a preview of subscription content, log in via an institution to check access.
Similar content being viewed by others
Explore related subjects
Discover the latest articles, news and stories from top researchers in related subjects.Author information
Authors and Affiliations
Rights and permissions
About this article
Cite this article
Yager, R. Nonmonotonic OWA operators. Soft Computing 3, 187–196 (1999). https://doi.org/10.1007/s005000050068
Issue Date:
DOI: https://doi.org/10.1007/s005000050068