Reference : On order invariant synthesizing functions
Scientific journals : Article
Physical, chemical, mathematical & earth Sciences : Mathematics
http://hdl.handle.net/10993/1776
On order invariant synthesizing functions
English
Marichal, Jean-Luc mailto [Brigham Young University, Utah (USA) > Department of Mathematics]
Dec-2002
Journal of Mathematical Psychology
Academic Press
46
6
661-676
Yes (verified by ORBilu)
International
0022-2496
[en] aggregation function ; ordinal scale ; comparison meaningfulness ; ordinal stability
[en] 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.
Brigham Young University, Utah (USA)
Researchers ; Professionals ; Students
http://hdl.handle.net/10993/1776
10.1006/jmps.2002.1418

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