Representation and construction of self-dual aggregation operators

DOI10.1016/j.ejor.2005.10.056zbMath1111.90071DBLPjournals/eor/MaesSB07OpenAlexW2161923069WikidataQ60258054 ScholiaQ60258054MaRDI QIDQ856240

Bernard De Baets, Susanne Saminger-Platz, Koen C. Maes

Publication date: 7 December 2006

Published in: European Journal of Operational Research (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.ejor.2005.10.056

zbMATH Keywords

fuzzy setsself-dualitygroup decisions and negotiationsaggregation operatorreciprocal relationinvariance under monotone bijectionsinvolutive negator

Mathematics Subject Classification ID

Theory of fuzzy sets, etc. (03E72) Operations research and management science (90B99)

Related Items (12)

The self-dual core and the anti-self-dual remainder of an aggregation operator ⋮ Generalized ordered weighted utility averaging-hyperbolic absolute risk aversion operators and their applications to group decision-making ⋮ Choosing OWA operator weights in the field of social choice ⋮ The dual decomposition of aggregation functions and its application in welfare economics ⋮ Preservation of fuzzy relation properties based on fuzzy conjunctions and disjunctions during aggregation process ⋮ On the duality of aggregation operators and \(k\)-negations ⋮ Aggregation functions and contradictory information ⋮ Some characterisations of self-dual aggregation functions when relative shortfalls are considered ⋮ Classical inequality indices, welfare and illfare functions, and the dual decomposition ⋮ Commutativity and self-duality: Two tales of one equation ⋮ A CLASS OF POVERTY MEASURES INDUCED BY THE DUAL DECOMPOSITION OF AGGREGATION FUNCTIONS ⋮ Stability properties of aggregation functions under inversion of scales. Some characterisations

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