Journal of Computational and Applied Mathematics - Special issue in honor of Professor Dr. F. Broeckx
On Sugeno integral as an aggregation function
Fuzzy Sets and Systems
On comparison meaningfulness of aggregation functions
Journal of Mathematical Psychology
An axiomatic approach of the discrete Choquet integral as a tool to aggregate interacting criteria
IEEE Transactions on Fuzzy Systems
Aggregation of infinite sequences
Information Sciences: an International Journal
Invariant functionals on completely distributive lattices
Fuzzy Sets and Systems
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This paper gives a description of the class of continuous functions that are comparison meaningful in the sense of measurement theory. When idempotency is assumed, this class reduces to the Boolean max-min functions (lattice polynomials). In that case, continuity can be replaced by increasing monotonicity, provided the range of variables is open. The particular cases of order statistics and projection functions are also studied.