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Article

Invariant continuous aggregation functions

International Journal of General Systems. 2010. Vol. 39. No. 2. P. 177-188.
Bronevich A. G., Mesiar R.
Continuous aggregation functions, being invariant under any monotone bijective transformation, are discussed and characterised. As a basic tool for this characterisation, self-dual {0; 1}-valued capacities or their counterparts, self-dual monotone Boolean functions, are exploited. A generating role of med(x,y,z) is discussed. The relevant role of simple medians in describing monotone threshold Boolean functions is made apparent.