On order invariant synthesizing functions

Reference : On order invariant synthesizing functions


	Document type :	Scientific congresses, symposiums and conference proceedings : Paper published in a book
	Discipline(s) :	Physical, chemical, mathematical & earth Sciences : Mathematics Business & economic sciences : Quantitative methods in economics & management
	To cite this reference:	http://hdl.handle.net/10993/8716

Title :	On order invariant synthesizing functions
Language :	English
Author, co-author :	Marichal, Jean-Luc [Brigham Young University, Utah (USA) > Department of Mathematics]
Publication date :	Jul-2002
Main document 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 :	Yes
On invitation :	No
Audience :	International
Event name :	9th Int. Conf. on Information Processing and Management of Uncertainty in Knowledge-Based Systems (IPMU 2002)
Event date :	from 01-07-2002 to 05-07-2002
Event place (city) :	Annecy
Event country :	France
Keywords :	[en] 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.
Funders :	Brigham Young University, Utah (USA)
Target :	Researchers ; Professionals ; Students
Permalink :	http://hdl.handle.net/10993/8716

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