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On order invariant synthesizing functions
Marichal, Jean-Luc
2002In Proc. 9th Int. Conf. on Information Processing and Management of Uncertainty in Knowledge-Based Systems (IPMU 2002), Annecy, France, July 1-5, 2002
Peer reviewed
 

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Keywords :
ordinal scale; comparison meaningfulness; ordinal stability; lattice polynomials
Abstract :
[en] We give 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 that the domain of definition is open.
Disciplines :
Mathematics
Quantitative methods in economics & management
Author, co-author :
Marichal, Jean-Luc ;  Brigham Young University, Utah (USA) > Department of Mathematics
Language :
English
Title :
On order invariant synthesizing functions
Publication date :
July 2002
Event name :
9th Int. Conf. on Information Processing and Management of Uncertainty in Knowledge-Based Systems (IPMU 2002)
Event place :
Annecy, France
Event date :
from 01-07-2002 to 05-07-2002
Audience :
International
Main work title :
Proc. 9th Int. Conf. on Information Processing and Management of Uncertainty in Knowledge-Based Systems (IPMU 2002), Annecy, France, July 1-5, 2002
Pages :
1343-1348
Peer reviewed :
Peer reviewed
Funders :
Brigham Young University, Utah (USA)
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since 16 October 2013

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