Nonmonotonic OWA operators

Name: Nonmonotonic OWA operators
Creator: Ronald R. Yager
Keywords: 0211 other engineering and technologies, 0202 electrical engineering, electronic engineering, information engineering, 02 engineering and technology

Ronald R. Yager

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Article . 1999 . Peer-reviewed

License: Springer TDM

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https://dx.doi.org/10.1007/s00...

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Nonmonotonic OWA operators

descriptionPublicationkeyboard_double_arrow_right Article 04 Nov 1999Publisher:Springer Science and Business Media LLCJournal:Soft Computing - A Fusion of Foundations, Methodologies and Applications, volume 3, pages 187-196 (issn: 1432-7643, eissn: 1433-7479,

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Authors: Ronald R. Yager;

doi: 10.1007/s005000050068

Nonmonotonic OWA operators

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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.

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