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See detailOn order invariant synthesizing functions
Marichal, Jean-Luc UL

in Journal of Mathematical Psychology (2002), 46(6), 661-676

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 ... [more ▼]

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. [less ▲]

Detailed reference viewed: 102 (2 UL)
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See detailOn comparison meaningfulness of aggregation functions
Marichal, Jean-Luc UL; Mathonet, Pierre UL

in Journal of Mathematical Psychology (2001), 45(2), 213-223

This paper will give a description of all continuous functions which are comparison meaningful in the sense of measurement theory.

Detailed reference viewed: 147 (1 UL)