Generalizations of OWA Operators

Radko Mesiar · Andrea Stupňanová · Ronald R. Yager

72 citations0/0 files storedIEEE Transactions on Fuzzy Systems

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Multi-Criteria Decision Making Game Theory and Voting Systems Advanced Algebra and Logic

Abstract

OWA operators can be seen as symmetrized weighted arithmetic means, as Choquet integrals with respect to symmetric measures, or as comonotone additive functionals. Following these three different looks on OWAs, we discuss several already known generalizations of OWA operators, including GOWA, IOWA, OMA operators, as well as we propose new types of such generalizations.

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References

1988On ordered weighted averaging aggregation operators in multicriteria decisionmaking 2007Aggregation Functions: A Guide for Practitioners 1999Induced ordered weighted averaging operators 1985A review of fuzzy set aggregation connectives 1995Fuzzy integral in multicriteria decision making 2004Generalized OWA Aggregation Operators 2009The induced generalized OWA operator 2003Induced aggregation operators

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