Characterization of invariant aggregation operators.

DOI10.1016/J.FSS.2003.10.032zbMath1049.68133OpenAlexW2074931389MaRDI QIDQ1430877

Radko Mesiar, Tatiana Rückschlossová

Publication date: 27 May 2004

Published in: Fuzzy Sets and Systems (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.fss.2003.10.032

zbMATH Keywords

invariant setsChoquet integralaggregation operator

Mathematics Subject Classification ID

Theory of fuzzy sets, etc. (03E72) Reasoning under uncertainty in the context of artificial intelligence (68T37) Fuzzy measure theory (28E10)

Related Items (14)

The self-dual core and the anti-self-dual remainder of an aggregation operator ⋮ Quasi-arithmetic means and ratios of an interval induced from weighted aggregation operations ⋮ Representation and construction of self-dual aggregation operators ⋮ Negation and affirmation: the role of involutive negators ⋮ Dualities in the class of extended Boolean functions ⋮ Aggregated Mean Ratios of an Interval Induced from Aggregation Operations ⋮ Invariant functionals on completely distributive lattices ⋮ Invariant continuous aggregation functions ⋮ The median and its extensions ⋮ Invariant fuzzy implications ⋮ Unnamed Item ⋮ Aggregation on finite ordinal scales by scale independent functions ⋮ Kernel aggregation functions on finite scales. Constructions from their marginals ⋮ Power stable aggregation functions

Cites Work

• Triangular norm-based iterative compensatory operators
• On Sugeno integral as an aggregation function
• A characterization of sets and operations invariant under bijections
• Integral representation of invariant functionals
• Symmetric Summation: A Class of Operations on Fuzzy Sets
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